Localized states due to the coupling of exciton with the coupled lattice oscillators
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Localized states due to the coupling of exciton with the coupled lattice oscillators Bikash Chandra Gupta Department of Physics,Indian Institute of Technology-Madras,Chennai 600036,India Abstract Discrete nonlinear Schr¨o ginger equation (DNLS)of the form,i dC n
I.INTRODUCTION
It is well know that the transport properties of a system is directly related with the formation of localized states in the system.Localized states appear due to the presence of impurity or disorder(which breaks the translational symmetry)in the system[1].There has been studies on the formation of localized states due to linear impurities in various systems[1].On the other hand,only a few look into the formation of localized states due to nonlinear impurities.The discrete nonlinear Schr¨o dinger equation,used to study the formation of stationary localized(SL)states[2–13]is given by
dC n
i
=?n C n+V(C n+1+C n?1)?χn(|C n+1|2+|C n?1|2?2|C n|2)C n(2) dt
where C n,?n,V andχn carries the same meaning as in eq.(1).We notice that the eq.
(2)has more nonlinear terms compared to the eq.(1).To the best of our knowledge,this
equation has not been used to study the formation of SL states even though eq.(2)is more important in condensed matter physics.Our intention is to look for the formation of SL states in one dimensional system due to the presence of nonlinear impurities(as described by eq.(2))and further to compare the results with those obtained from eq.(1)and to see which one has more impact in the formation of SL states.
The organization of the paper is as follows.In sec.II we discuss the e?ect on the formation of SL states due to a single impurity(i.e.χn=χ(δn,0)).In sec.III we consider the case of dimeric impurity(i.e.χn=χ(δn,0+δn,1))and in sec IV we consider the perfectly nonlinear chain.In sec V we discuss about the stability of the SL states.Finally in sec.VI we summarize our?ndings.
II.SINGLE NONLINEAR IMPURITY
Consider the system of a one dimensional chain with a nonlinear impurity at the central site.The time evolution of an exciton in the system is governed by eq.(2)withχn=χδn,0. The Hamiltonian which can produce the equation of motion for the exciton in the system is given by
H= n(C?n C n+1+C n C?n+1)?χ
E2?4
justi?ed as can also be readily derived from the Greens function analysis[9,10].Substituting the ansatz in the normalization condition we get
|φ0|2=
1?η2
1+η2+
χ(1?η2)3
χ=
η(1?η2)(10+2η2)
χ
>f(ηmax),one solution if4
χ
χcr= ηmax(1?η2max)(10+2η2max) III.DIMERIC NONLINEAR IMPURITY We consider the case where the one dimensional lattice has two nonlinear impurities at site0and1respectively,i.e.,χ(δn,0+δn,1).As in the case of single impurity,it is easily veri?ed that the Hamiltonian for the system is given by eq.(2)withχas de?ned above. For stationarity condition we assume that C n=φx exp(?iEt).Furthermore,for localized states we assume the following form forφn. φn=[sgn(E)η]n?1φ1;n≥1 and φ?|n|=[sgn(E)η]|n|φ0;n≤0(9) withηas de?ned earlier.The ansatz is justi?ed as those states which appear outside the host band are exponentially localized(which can be derived exactly from the Greens function analysis[9]).Three di?erent possibilities arise.(i)φ1=φ0(symmetric case),(ii)φ1=?φ0 (antisymmetric case)and(iii)φ1=φ0(asymmetric case).It is possible to encompass all the di?erent cases by introducing a variableβ=φ0 1+β2 (10) and the reduced Hamiltonian H eff=2β1?η2 2(1+β2) .(11) Ifβ=±1we get, H±eff=?2η+2sgn(E)+3χ±η (1?η2)2 1 ?η=0and ?H eff χ= β(9?7β2?β4?β6)2 the localized states,but there are a few rational choices.For example,a single site peaked as well as inter-site peaked and dipped solutions are possible.We will consider these cases subsequently.Let us?rst consider the on-site peaked solution.Without any loss of generality we can assume that the exciton pro?le is peaked at the central site.Therefore,using the ansatzφn=φ0η|n|and the normalization condition we get the e?ective Hamiltonian, H eff=4η (1+η2)3 .(16) From the?xed points equation,?H eff/?η=0,we obtain 1 (1+η2)2 .(17) After analyzing this equation we?nd that there is a critical value ofχ=1.333below which there is no SL state and above it there are two states.At the critical value ofχthere is one state. For the inter-site peaked and dipped solutions we use the ansatz of the dimeric impurity nonlinear impurity.carrying out the calculation involved we obtain the e?ective Hamiltonian of the reduced dynamical system to be H eff=2β1?η2 (1+β2)2 [β2+ η2+β2η2?1?β4χ± = η(1?η2)2(2+η2) ?4βη(1+β2)(1+η2)2+2sgn(E)(1+β2)2(1+η2)2+2χη[?3+β2?β2η4] ?χ[2η2?4β2η2?2β4+η4?2β2η6]=0 2(1+η2)(1+β2)2?4β2(1+η2)(1+β2)?χ[(1+β2)(2β?2βη42βη2?4β3] +4χβ[β2?β2η4+η2+β2η2?1?β4]=0(20) As it is not possible to decouple the equations,we have obtained numerically the possible values ofβandηfor various values ofχ.It is found that there is always exists one SL state for any nonzero value ofχ. Now combining all the possibilities,we obtain the following result for the fully nonlinear chain.There will be only one SL states forχ<2.4653,two forχ=2.4653,three for 2.4653<χ<5.9178,four forχ=5.9178and?ve forχ>5.9178.Hence the maximum number of SL states is?ve.We further note that SL state appears even if the system is perfect(the translational symmetry is preserved).Therefore,we may call these states to be self-localized states. V.STABILITY The stability of the SL states can be understood from a simple graphical analysis.For this purpose,consider the case of single impurity withχ=1.3(for which two SL states appear).The?xed point equation for the single impurity case withχ=1.3is given by η(1?η2)(10+2η2) G(η)=1? The energy of the SL states as a function ofχis plotted in?g.(3).Once again we con?ne to the single impurity case.It is clear that energy of one state increases and that of the other decreases.(Note that the points’A’and’B’of?g.(3)gets mapped to points’A′’and’B′’respectively.)Thus we conclude that the states in the upper branch of the energy diagram are stable SL states and those of the lower branch are unstable SL states.In other words,if the energy of SL state increases with the increase of nonlinear strength,the state is stable otherwise,unstable. VI.CONCLUSION DNLS given by eq.(2)is used to study the formation of stationary localized states in a one dimensional system with single and a dimeric nonlinear impurity.It is found that the number of SL states are more than the number of impurities in the system.Maximum number of SL states due to single nonlinear impurity is two and that due to dimeric nonlinear impurity is?ve.It is further found that SL states may appear even in a perfectly nonlinear system.Thus one may call these SL states as self-localized states.It is also interesting to note that eq.(2)is more e?ective in the formation of SL states compared to eq.(1).The stability of the SL states is discussed and the connection of the stability of a state with its energy variation as a function of nonlinear strength is presented.For a clearer understanding on the e?ect of nonlinear impurities on the formation of SL states,one needs to consider the presence of a?nite nonlinear clusters in a linear host lattice.Investigation in this aspect is in progress and will be reported elsewhere. VII.ACKNOWLEDGEMENT The author acknowledges the help from S.Seshadri during the preparation of the manuscript and the?nancial support from the Department of Science and Technology,India. REFERENCES [1]E.N.Economou,Green’s Function in Quantum Physics(Springer-Verlag,Berlin.1979). [2]M.I.Molina and G.P.Tsironis,Phys.Rev.B4715330(1993). [3]M.I.Molina,G.P.Tsironis and D.Hennig,Phys.Rev.E502365(1994). [4]M.I.Molina and G.P.Tsironis,Int.Jour.Mod.Phys.B91899(1995). [5]Y.Y.Yiu,K.M.Ng and P.M.Hui,Phys.Lett.A200325(1995);Solid State Commun. 95801(1995). [6]P.M.Hui,Y.F.Woo and W.Deng,J.Phys.Condens.Matt.82011(1996). [7]A.B.Aceves et al.,Phys.Rev.E531172(1996). [8]B.Melomed and M.I.Weinstein,Phys.Lett.A22091(1996). [9]B.C.Gupta and K.Kundu,Phys.Rev B55894(1997). [10]B.C.Gupta and K.Kundu,Phys.Rev B5511033(1997). [11]K.Kundu and B.C.Gupta,Euro.Phys.Jour.B3(1998). [12]B.C.Gupta and K.Kundu,Phys.Lett.A235176(1997). [13]A.Ghosh,B.C.Gupta and K.Kundu,J.Phys.Conden.Matt.102701(1998). [14]V.M.Kenkre,G.P.Tsironis and D.K.Campbell,Nonlinearity in Condensed Matter, eds.A.R.Bishop et al.(Springer-Verlag,1987). [15]V.M.Kenkre and G.P.Tsironis,Phys.Rev.B351473(1987). FIGURES FIG.1.f(η)is plotted as a function ofη.It clearly shows a maximum. FIG.2.G(η)is plotted as a function ofη.A and B are?xed points. FIG.3.Energies of the SL states are plotted as a function ofχ.There is no state belowχcr and two states above it.Energy of one state increases and that of the other decreases.Points A′and B′corresponds to points A and B respectively of Fig.2. 00.20.4 0.60.81η01 2 3 4 f (η ) 00.20.40.60.81 η ?0.10 0.1 0.2 G (η ) 1.2 1.25 1.3 1.35 1.4 χ22.2 2.4 2.6 2.8 3 3.2 3.4 E n e r g y A’B’ 歌曲：pretty boy I lie awake at night 晚上我躺在床上没有一点睡意 See things in black and white 世界对我来说只有黑与白 I've only got you inside my mind 你的形象无时无刻不在我脑中闪动 You know you have made me blind 我的眼里只有你 I lie awake and pray 我清醒地躺在床上祈祷 that you would look my way 祈祷你会看见我 I have all this songing in my heart 我的心中充满渴望 I knew it right from the start 一开始我就知道 Oh my pretty pretty boy I love you 我的漂亮男孩我爱你 Like I never ever loved no one before you 在你之前我从未这样爱过一个人 Pretty pretty boy of mine 我的漂亮男孩 Just tell me you love me too 告诉我你也爱我 Oh my pretty pretty boy I need you 我的漂亮男孩我需要你 Oh my pretty pretty boy I do 我的漂亮男孩，是真的 Let me inside make me stay right beside you 让我进来让我留在你身旁 I used to write your name 我曾写下你的名字 And put it in a frame 并把它框起来 And sometimes I think I hear you call Right from my bedroom wall 有时我觉得我在我房间里听到了你的 呼唤 You stay a little while 你待了一会儿 Polly Wolly Doodle儿歌歌词 Polly Wolly Doodle Oh, I went down South for to see my Sal, singin” Polly wolly Doodle” all the day. My sally is a spunky gal, singin” Polly Wolly Doodle” all the day. CHORUS Fare thee well, fare the well, fare thee well, my fairy fay. For I?m goin? to Louisiana for to see my susyanna. Singin? “Polly Wolly Doodle” all the day. Oh, my sal, she is a maiden fair, singin” Polly Wolly Doodle” all the day. Well a bullfrog sitin? on a railroad track. Singin? “Polly Wolly Doodle” all the day. Just a-pickin? his teeth with a carpet tack, singin?” Polly Wolly Doodle” all the day. Red River Valley儿歌歌词 Red River Valley From this valley they say you are going, I will miss your bright eyes and sweet smile. For I know you are taking the sunshine. That has lighten my pathway a while. Come and sit by my side if you love me, Don?t? hasten to bid me do, But remember the Red River Valley, And the one that has loved you so true. Just remember the Red River Valley And the one who has loved you so true Sailing Medley儿歌歌词 Sailing Medley Blow the man down I?ll sing you a song, a good song of the sea. With a way! Hey! Blow the man down! And trust that you?ll join in the chorus wi th me. Give me some time to blow the man down. There was an old skipper, I don?t know his name. 第十章英语童谣、歌曲教学的意义和作用 第一节英语童谣、歌曲教学的意义和作用 人类在漫长的历史过程中，随着语言的产生和发展形成了一个精细而复杂的发声器官，不仅能说话，而且会唱歌。唱歌是人类自然的愿望，是人类表达自己喜、怒、哀、乐各种复杂感情的有力手段。唱歌、念童谣在儿童生活中也同样有着极重要的意义，也是儿童表达自己喜悦、兴奋、激动的一种方法，是他们显露自己能力的心理状态的反映。在每个人的童年记忆中，总对一些充满情趣、合辙押韵、朗朗上口的歌谣记忆犹新，诸如：“小鸭、小鸡”、“丢手绢”、“读书郎”、“小画家”等，这些童谣和儿歌天真活泼，节奏感强，积极向上，富有教育性和知识性，正合少年儿童的心理与口味。可以说，童谣和儿歌是孩子的亲密伙伴，有孩子的地方总能听见那欢乐、柔嫩、清脆的天真童声。 童谣是符合儿童年龄特点的、有韵脚、有意境、有节奏、充满童趣、朗朗上口的一种说唱形式。儿童歌曲比童谣更具音乐性。说歌谣、唱歌曲对儿童语言发展所起的作用是不可低估的。音乐和节奏是儿童学习语言的重要组成部分。一般来说，歌词容易记牢。一首好的歌词往往是一首好的儿歌，尤其是少儿歌曲的歌词更像是一首上口的童谣，儿童在学唱歌的过程中，最先学会的是歌词。也就是说，儿童在学习歌曲的同时就学习了一首好的儿歌，无形中词汇量、艺术性语言就能有所增加。同样，没有曲调但节奏鲜明的童谣也是训练儿童语言节奏感的绝佳材料。 在小学英语教学中，使用英文童谣和歌曲教授英语，符合小学生的年龄特点，有利于他们学习英语。音乐与语言二者都有句子、韵、重音和重复。曲调中有些强弱快慢的变化就是来自于人们的语言，经常说唱英文童谣、儿歌能使小学生对英语的重音、节奏、句子的结构等加强掌握与理解，如善于辨别英语的发音，掌握其重音、节奏、语句、语调等，因为唱歌时要求吐字清楚，这对培养小学生正确发音有很大帮助。学习英文童谣和歌曲除了能帮助儿童学习英语语音和节奏，也可以学习、巩固语法与词汇，而最重要的是能提高英语学习的兴趣。让学生在拍拍手，说说童谣，唱唱歌，做做游戏中不知不觉地打好学习英语的基础。 第二节英语教学中童谣、歌曲的选择 童谣是符合儿童年龄特点的、有韵脚、有意境、有节奏、充满童趣、朗朗上口的一种说唱形式。儿童歌曲比童谣更具音乐性。两种形式都有词，且符合儿童的年龄特征，故作为一种辅助教学手段在小学英语教学中占有重要的地位。拍拍手，说说童谣，唱唱歌，做做游戏，在不知不觉中也打好了学习英语的基础。应该说，念英文童谣、唱英文歌是学习英语行之有效的好办法。那么如何选择儿童感兴趣的、富有教育意义的、适合儿童说唱的、对英语教学有一定辅助作用的英文童谣和歌曲呢？ 一、内容应有趣并为小学生所理解 小学生在小学虽说有了一定的母语基础，完成了母语的掌握过程，但对英文还处于低幼儿阶段。用英文理解事物的能力在低年级几乎没有，到中高年级也还不高。因此，英文童谣或歌曲使用的单词应生动形象，歌词在语言上不宜太深，最好浅显易懂，要能听得清楚，为小学生所理解。否则他们只会机械地发出声音，并不知其含意，也就难以引起相应的心理活动。 1. He can ride a bike, so ____I. 2.It is a sunny day today. – so it ______ 3. Tom doesn’t like bananas. Neither ____his wife. Ⅱ单项选择 ( ) 1. If Joe won’t go to the party, ____ A. she will either B. neither will she C. so will she D. neither he will ( ) 2. You forgot your purse. ______ Mary. A. so did B. so was C. did so D. neither did ( ) 3.— The fish smells terrible! — ____. A. So does it B. So it does C. So is it D. So it is ( ) 4. Jim was in the supermarket just now. _______his mother. A. neither is B. neither was C. so is D. so was ( ) 5. My little brother has never got up late. ____ they. A . So has B Neither has C Neither have D Neither are ( ) 6.He watches TV every morning. ____I. A. So do B So does C Neither do D So am ( ) 7. -Mary gave a good speech yesterday. _ ___________ A.So did she. So you did. B.So did she. So did you. C.So she did. So you did . D.So she did. So did you. 英语经典儿歌 1.ABCsong 2.Do- Re- Mi 3.Ten little Indians 4.Head and shoulders knees and toes 5.Apple round 6.Old Macdonal 7.Jingle bell 8.Happy New Year 9.Are you sleeping? 10.Day of the Week 11.Eight Little Baby Ducks 12. If you are happy 13.Edelweiss（雪绒花） 14.Twinkle, twinkle, little star 15.Two Little Blackbirds 16.We Wish You A Merry Christmas 17.Mary Had a Little Lamb 18. London Bridge is Falling Down 19.Colours 20. I can sing a rainbow 部分歌词 1. ABC Song （字母歌） come together, come to me while I sing the ABC. ABCDEFGHIJKLMNOPQ RS and TUVW and XYZ. Now you ve heard my ABC. Tell me what you thin k of me. A B C D E F G H I J K L M N L P Q R S and T U V W and X Y Z. now you ve heard our ABC. Let us hear your ABC. All together sing with me. Le t us try our ABC. A B C D E F G H I J K L M N O P Q R S and T U V W and X Y Z. now you ve heard our ANC. Let us hear your ABC. Do-Re-Mi（哆－来－咪） Doe a deer a female deer. Ray a drop of golden sun. me a name I call my self, Far a long long way to run. Sew a needle pulling thread. La a note th at follow sew. Tea a drink with jam and bread. That will bring us back to doe, oh oh oh, Doe ray me far sew la tea doe. Sew, doe. Day of the Week（星期之歌） Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday. (Re peating 3 times.) Are You Sleeping?（你睡了吗） Are you sleeping, are you sleeping? Brother John, brother John. Morn 1..Hello song 歌词(Lyrics) Hello, hello, hello how are you? I'm fine, I'm fine , I hope that you are too. Hello, hello, hello how are you? I'm fine, I'm fine , I hope that you are too 2.. Finger Family 歌词Lyrics Daddy finger, Daddy finger, where are you? Here I am. Here I am. How do you do? Mammy finger, Mammy finger, where are you? Here I am. Here I am. How do you do? Brother finger, Brother finger, where are you? Here I am. Here I am. How do you do? Sister finger, Sister finger, where are you? Here I am. Here I am. How do you do? Baby finger, Baby finger, where are you? Here I am. Here I am. How do you do? 3..《ABC song》歌词 A B C D , E F G H I J K , L M N O P Q R S , T U V W X Y Z Now I know my ABC, tell me what you think of me 4.. Twinkle Twinkle Little Star 歌词 Twinkle, twinkle, little star, How I wonder what you are. Up above the world so high, Like a diamond in the sky. Twinkle, twinkle, little star, How I wonder what you are! When the blazing sun is gone, When there's nothing he shines upon, Then you show your little light, Twinkle, twinkle, all the night. 英文童谣儿歌汇总 Chants （1）“Hello,hello,how are you?”Hello, hello, how are you? Fine, fine,thank you. Hello, hello, how are you? Oh, oh,just so so. （2）“One—ten ” One,one,one,everybody run. Two,two,two,tie your shoe. Three,three,three,look at me. Four,four,four,fall on the floor. Five,five,five,jump up high. Six six six ,clap your hands. Seven seven seven,reach to the heaven. Eight eight eight,stamp your feet. Nine nine nine,turn around. Ten ten ten, please sit down. （3）“One—five” One one one a little dog run Two two two cats can see you Three three three birds in the tree Four four four rats on the floor Five five five what’s the time? （4）“One—ten” One is worm go go go Two is rabbit jump jump jump Three is cat miao miao miao Four is crab move move move Five is bird fly fly fly Six is ox walk walk walk 教学过程 一、课堂导入 So /Neither do I与So/Neither I do这两个结构是很多同学容易混淆的，而且又是初中英语当中很喜欢考查的一个知识点，所以我们今天就通过这堂课来好好学习这两个结构之间的区别。 二、复习预习 复习上一个单元的知识点，通过一些小的练习题让大家一起讨论解答。 然后老师给同学们一些题目，先让同学们自己来分析，并讨论，老师从同学们的讨论中发现他们的盲点，并在后面的课程中有所侧重地讲解。 三、知识讲解 知识点1：So /Neither do I---我也是so/neither I do ---我的确如此1【考查点】so,neither引导的倒装句 1）So+be(助动词，情态动词)+主语。表示某人也是如此。 eg.Mike has bought some foreign stamps. So has Bob.=Bob has bought some,too. 2）Neither+b助动词，情态动词)＋主语，表示某人也不。 eg.Mother has never been to Japan. Neither has Father.=Father has never been to Japan, either. 2【考查点】 1）So ＋主语＋be动词/助动词/情态动词此句型表示对前面某种说法的赞同或附和“某人或某物确实如此”。用于肯定的情况 --- You seem to like tea. --- So I do. (是的，我确实喜欢) ---Mary went to the park yesterday. ----So she did, and so did I.（她确实去了，我也去了。） 2）neither ＋主语＋be动词/助动词/情态动词此句型表示对前面某种说法的赞同或附和“某人或某物确实如此”。用于否定的情况 Tom doesn't like English. 汤姆不喜欢英语 Neither do I.我也是 nerither Tom does 汤姆确实是这样的 【注意事项】so/neither引导的倒装句或陈述句，要注意：谓语动词到底用do/did/does/情态动词还是 英语儿歌45首歌 词 2018.6 1. Hello song 歌词(Lyrics) Hello, hello, hello how are you? I'm fine, I'm fine , I hope that you are too. Hello, hello, hello how are you? I'm fine, I'm fine , I hope that you are too 2. Finger Family 歌词Lyrics Daddy fin ger, Daddy fin ger, where are you? Here I am. Here I am. How do you do? Mammy fin ger, Mammy fin ger, where are you? Here I am. Here I am. How do you do? Brother fin ger, Brother fin ger, where are you? Here I am. Here I am. How do you do? Sister fin ger, Sister fin ger, where are you? Here I am. Here I am. How do you do? Baby fin ger, Baby fin ger, where are you? Here I am. Here I am. How do you do? 3. 《ABC so ng》歌词 A B C D , E F G H I J K , L M N O P Q R S , T U V W X Y Z Now I know my ABC, tell me what you think of me 4. Twi nkle Twi nkle Little Star 歌词 Twinkle, twinkle, little star, Chants （1）“Hello,hello,how are you?” Hello, hello, how are you? Fine, fine,thank you. Hello, hello, how are you? Oh, oh,just so so. （2）“One—ten ” One,one,one,everybody run. Two,two,two,tie your shoe. Three,three,three,look at me. Four,four,four,fall on the floor. Five,five,five,jump up high. Six six six ,clap your hands. Seven seven seven,reach to the heaven. Eight eight eight,stamp your feet. Nine nine nine,turn around. Ten ten ten, please sit down. （3）“One—five” One one one a little dog run Two two two cats can see you Three three three birds in the tree Four four four rats on the floor Five five five what’s the time? （4）“One—ten” One is worm go go go Two is rabbit jump jump jump Three is cat miao miao miao Four is crab move move move Five is bird fly fly fly Six is ox walk walk walk Seven is rat run run run 1. Hush-a-bye, baby, Daddy is near, Mammy's lady, And that's very clear. 不要吵，小宝宝， 爸爸陪你来睡觉； 妈妈不是男子汉， 这件事情你知道。 2. Hush-a-bye, baby, on the tree top, When the wind blows the cradle will rock; When the bough breaks the cradle will fail, Down will come baby, cradle and all. 小宝宝，睡树梢， 风儿吹，摇篮摇， 树枝断，摇篮掉， 里面宝宝吓一跳。 3. Bye, baby bunting, Daddy's gone a-hunting, Gone to get a rabbit skin To wrap the baby bunting in. 睡吧睡吧胖娃娃， 爸爸打猎顶呱呱； 剥下一张兔子皮， 回家好裹胖娃娃。 4. He next met a barber, With powder and wig, He play'd him a tune, And he shaved an old pig. 理发师，他碰着， 戴着假发真时髦； 给他拉首开心典， 他给老猪剃猪毛。 5. Barney Bodkin broke his nose, Without feet we can't have toes; Crazy folks are always mad, Want of money makes us sad. 巴尼碰破大鼻子， 没脚不能长脚趾； 疯疯颠颠是疯子， 因很多家长向麦麦粥铺反映，想要儿歌50首大全的歌词。我们也花了大量的时间和精力，通过手打不断把歌词完善到趋于完整。希望可以让妈妈们和孩子一起在听的同时，更增加一份教学的乐趣。 您的五分好评是我们进步的最大动力，谢谢。 精心整理，真心希望对孩子的培养能有一丝帮助。 【儿歌串烧50首】第1首：《家庭称呼》歌词 爸爸爸爸daddy daddy daddy daddy 妈妈妈妈mami mami mami mami 哥哥弟弟brother brother brother 姐姐妹妹sister sister sister 爷爷爷爷grandpa grandpa grandpa 奶奶奶奶grandma grandma grandma 伯伯叔叔和舅舅 英文全都叫uncle uncle uncle uncle 姑姑婶婶和阿姨 英文全都叫auntie auntie auntie auntie 爸爸爸爸daddy daddy daddy daddy 妈妈妈妈mami mami mami mami 哥哥弟弟brother brother brother 姐姐妹妹sister sister sister 爷爷爷爷grandpa grandpa grandpa 奶奶奶奶grandma grandma grandma 伯伯叔叔和舅舅 英文全都叫uncle uncle uncle uncle 姑姑婶婶和阿姨 英文全都叫auntie auntie auntie auntie 爸爸爸爸daddy daddy daddy daddy 妈妈妈妈mami mami mami mami 哥哥弟弟brother brother brother 姐姐妹妹sister sister sister 爷爷爷爷grandpa grandpa grandpa 奶奶奶奶grandma grandma grandma 伯伯叔叔和舅舅 英文全都叫uncle uncle uncle uncle 姑姑婶婶和阿姨 英文全都叫auntie auntie auntie auntie 【儿歌串烧50首】第2首：《家族歌》歌词 爸爸的爸爸叫什么？爸爸的爸爸叫爷爷； 爸爸的妈妈叫什么？爸爸的妈妈叫奶奶； 爸爸的哥哥叫什么？爸爸的哥哥叫伯伯； 爸爸的弟弟叫什么？爸爸的弟弟叫叔叔； 爸爸的姐妹叫什么？爸爸的姐妹叫姑姑。 妈妈的爸爸叫什么？妈妈的爸爸叫外公； 妈妈的妈妈叫什么？妈妈的妈妈叫外婆； 假期特载】英语儿歌集（汇编） ? ?关靖华 ?399位粉丝 ? 1楼 致小读者和家长们： 1990年左右，武汉外语学院编撰的初级英语教学录像带是一套非常好的寓教于 乐的教材。并且曾在杭州市电视台播放。其中都是含有不同语法现象的“儿歌”。现在是假期，从今天开始，利用这个帖子逐个介绍这些儿歌。 练习1：字母 a 的“名称音”以及“祈使句”的训练： 儿歌的标题————Rain！雨！ —Rain! Rain! Go away! ———Come again another day! ————祈使句 —Little Johnny wants to play. “三单”现在 式 + s —Rain! Rain! Go away! ———Come again another day! —It's mother's washing day. 现在分词作形容词使用。 练习好 rain 的读音，则有利于发 train（火车）的读音。 ——声明：1. 请你们自己译成汉语；—————2. 家长可以用这些“儿歌”教你们的孩子。 ?2008-7-22 08:50 ?回复 ? ?关靖华 ?399位粉丝 ? 2楼 练习 2 ：字母 e 的“名称音”以及“现在进行 时态”的训练： ——One! Two! Three! ————I love coffee. ————Billy loves tea. (三单现在时 态 + s ) ——Jimmy is swimming in the sea! 这是“现 在进行时态”的句子。 另外，通过以下歌曲可以练习现在进行时 态的疑问句： ————Are you sleeping? Are you sleeping ? ——————Brother John! Brother John! ————Morning bells are ringing! ——————Morning bells are ringing! ————Ding-ding-dong! Ding-ding-dong! 按《两只老虎！两只老虎！》那个调子唱。 ?2008-7-22 08:53 ?回复 ? ?关靖华 ?399位粉丝 ? 3楼 练习 3：字母 i 的“名称音”以及“习惯用 语 So do I!”的训练： 第一首短诗 — Apple-pie! Apple-pie! —— Peter likes apple-pie.“三单”现在时 + s ——So do I! So do I! 第二首短诗 ——I see Dinah Price, (Dinah Price 人名) ————Skating on the ice. ——I think skating is nice. ————So does Dinah Price！(第三身单数,现在时态 + es ) ?2008-7-22 08:56 So ,neither, nor的倒装解析及练习 一．So + 功能词+ 主语，该句型必须具备两个条件: a，上句必须为肯定句；b，该主语与上句主语不一致。功能词指be动词，助动词，情态动词。翻译为“--- 也是如此”。 ----- Li Lei can dance. ----- So can Tom. 二、Neither/ nor 引导的倒装句 Neither/ nor + 功能词+ 主语，该句型必须具备两个条件：a，上句为否定句；b，该主语与上句主语不一致。 翻译为“--- 也不这样”。 ----- Li Lei can’t dance. ----- Nor can Tom. 三、So 引导的强调句式 So + 主语+ 功能词. 该句型必须具备两个条件：a, 上句为肯定句；b，该主语与上句主语一致。翻译为“的确如此”。 ----- The book is a good book. ----- So it is. 练习： 一．选择题。 )1 Mary never does any reading in the evening,__________ . A, so does John B, John does too C, John does not to D, nor does John ( )2 --Well, I do think the rabbit is a beautiful ,gentle animal which can run very fast. -- __________. A, So it is B, So is it C, So does it D, So it does ( )3 --Father ,you promised! --Well ,________.But it was you who did not keep your word first. A, so was I B, so did I C, so I was D, so I did ( )4 --I will never come to this restaurants again. The food is terrible ! -- _____________. A, Nor am I B, Neither will I C, Same with me D, So do I ( )5 If you don't go，neither __________. A. shall I B. do I C. I do D. I shall ( )6 --Your father is very strict with you. -- _________. He never lets off(放过) a single mistake of ours. A. So he is B. So is he C. He is so D. So does he ( )7 -- Thomas won the first prize in the competition. -- _______! A. So he did B. So did he C. So he did, too D. So had he ( )8 —In modern times,girls like beautiful clothes. -- Yes, ________ and_________. After all, our life has greatly improved. A. so do they，so do we B. so they do，so we do C. so do they，so we do D. so they do，so do we ( )9 --You have an English class every day except Sunday. --___________. A. So we have B. So we do C. So have we D. So do we ( )10 --I wonder if your wife will go to the ball. --If your wife ________,so ________ mine. A. does，will B. will，does C. will, would D. does，do 1、Twinkle, twinkle, little star 一闪一闪小星星 Twinkle twinkle little star 一闪一闪小星星 How I wonder what you are? 我想知道你是什么？ Looking at your magic light 看着你闪着魔幻般的光芒 Watching over us tonight 在晚上注视着我们 Before my dreams take me away 在我的梦想带走我之前 I kneel beside my bed and pray 我在床旁边下跪并且为 For all the children in the dark 所有在黑暗中的孩子祈祷 Till tomorrow, twinkle little star.... 直到明天，闪光小星星…. Promise me you'll twinkle little star.... 请你许诺我，闪光小星星…. Cos everybody needs a little star. 因为大家需要一个小星星。 2、We Wish You A Merry Christmas 我们祝你圣诞快乐 We wish you a Merry Christmas.我们祝你圣诞快乐， We wish you a Merry Christmas.我们祝你圣诞快乐， We wish you a Merry Christmas and a Happy New Year.我们祝你圣诞快乐并新年快乐， Good tidings we bring to you and your kin.我们把佳音带给你及你的亲友， Good tidings for Christmas and a Happy New Year. 圣诞佳音并新年佳音。 3、Walking,walking 走啊走 Walking,walking,Walking,walking.走啊走啊走啊走， hop,hop,hop.跳，跳，跳， hop,hop,hop.跳，跳，跳， running,running,running.跑，跑，跑， 英文儿歌歌词大全 转载 1. Twinkle, Twinkle Little Star（—闪，一闪，小星星） Twi nkle. Twin kle Little Star, How I won der what you are! Up above the world so high, Like a diam ond in the sky. Twin kle, twi nkle little star, How I won der what you are! 2. ROW, ROW,ROW YOUR BOAT 划，戈U,划你的船 Row, Row, Row, Your Boat, Gently DownThe Stream. Merrily ,Merrily, Merrily, Merrily, life Is But A Dream. 3. ROUND THE VILLAGE 绕着村落 Go round and round the village, Go round and round the village, Go round and round the village, As we have done before. Go in and out the win dows. Go in and out the win dows. Go in and out the win dows. As we have done before. Now sta nd and play the part ner. Now sta nd and play the part ner. Now sta nd and play the part ner. And bow before you go. Now follow me to London. Now follow me to London. Now follow me to London. As we have done before. Nowshake his hand but leave him. Nowshake his hand but leave him. Now shake his hand but leave him. And bow before you go. 4. FLY, FLY, BUTTERFLY 飞，飞，蝴蝶 Fly, fly, fly , the butterfly. I n the meadow is flyi ng high. In 英文童谣47首（英汉对照）English Nursery Rhyme Collections 1．Hush-a-bye, baby, Daddy is near, Mammy's lady, And that's very clear. 不要吵，小宝宝， 爸爸陪你来睡觉； 妈妈不是男子汉， 这件事情你知道。 2．Hush-a-bye, baby, on the tree top, When the wind blows the cradle will rock; When the bough breaks the cradle will fail, Down will come baby, cradle and all. 小宝宝，睡树梢， 风儿吹，摇篮摇， 树枝断，摇篮掉， 里面宝宝吓一跳。 3．Bye, baby bunting, Daddy's gone a-hunting, Gone to get a rabbit skin To wrap the baby bunting in. 睡吧睡吧胖娃娃， 爸爸打猎顶呱呱； 剥下一张兔子皮， 回家好裹胖娃娃。 4．He next met a barber, With powder and wig, He play'd him a tune, And he shaved an old pig. 理发师，他碰着，戴着假发真时髦； 给他拉首开心典， 他给老猪剃猪毛。 5．Barney Bodkin broke his nose, Without feet we can't have toes; Crazy folks are always mad, Want of money makes us sad. 巴尼碰破大鼻子， 没脚不能长脚趾； 疯疯颠颠是疯子， 没钱只能哭鼻子。 6．A Little Betty Blue Lost her holiday shoe, What can little Betty do? Give her another to match the other, And then she may walk out in two. 小贝蒂， 丢只鞋， 这个难题怎么解？ 给只鞋， 配那只， 穿着鞋儿好上街。 7．Bbb, baaa, black sheep, Have you any wool? Yes, sir, yes, sir, Three bags full; One for the master, And one for the dame, And one for the little boy Who lives down the lane. 咩咩咩，黑绵羊， 多少羊毛身上长？ 先生先生你来看， 三个口袋鼓囊囊； 一袋主人面前放， 一袋是为主妇装， 一袋送给小男孩， 住在前面小街巷。 8．As a little fat man of Bombay Was smoking one very hot day, A bird called a snipe Flew away with his pipe, Which vexed the fat man of Bombay. 孟买有个胖老头， 大热天里把烟抽； 一只鹬鸟飞过头， 抢走他的大烟斗， 惹得老头把气怄。 9．When I was a little boy I had but little wit; 'tis a long time ago, And I have no more yet; Nor ever, ever shall Until that I die, For the longer I live The more fool am I. 当我是个小男孩， 那时我就没脑袋； 现在我的头发白， 还是没有长脑袋；经典的英语歌曲歌词大全
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