LEC-42 Wave Functions For The Harmonic Oscillator

[@Soumyajit_]

Dear Sir, i am in love with your lectures. Honestly speaking, You are so wise as well as too gentle. **Student friendly presentation**

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[@dhruvsaxena9740]

41:23 sir in lecture 1 it is si(E) not si(x) (which is equation number 3). Please check.

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Unit I: Quantum Mechanics 1. Principle of superposition: Schroedinger's wave equation; equation of continuity; probabilistic interpretation of the wave function. 2. Dynamical variables and linear Hermitian operators; properties of eigen functions and eigen values of Hermitian operators; momentum, energy and angular momentum operators. 3. Momentum, angular momentum operators and Schroedinger equation in rectangular Cartesian, spherical polar and cylindrical coordinates. 4. Result of measurement ofdynamical observables, expectation values, Bohr's correspondence and complementarity principles; Ehrenfest's theorem; stationary and non-stationary states. 5. Commutation relation between operators, simultaneous measurements; Heisenberg’s uncertainty principle with illustrations. Unit II: Applications of Quantum Mechanics 1.One dimensional potential well and barrier:boundary conditions, bound and unbound states, reflection and transmission coefficients. (Similarities and differences with classical systems to be emphasized at each step).Tunnel effect. 2. Free particle in one dimensional box, box normalization of free particles, momentum eigen functions of a free particle. 3. Linear harmonic oscillator wave function and energy eigen values, parity of wave functions. (Detailed solution of the wave function for at least the ground state). 4. Hydrogen problem: solution of the wave function for the ground state, discrete eigen values as a consequence of boundary conditions, comparison with the Bohr Sommerfeld model. 5. Diatomic molecules: rotational and vibrational energy levels; basic ideas about molecular spectra, Raman effect and its application to molecular spectroscopy.

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On Quantum mechanic

[@vikasyadav495]

"Confusion hi confusion hai solution kuch pta nhi, solution jo mila to sala question kya tha pta nhi." - applies to Harmonic oscillator problem in QM. Thanks sir a lot.

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Sir i am really grateful to u. Tomorrow is my quantum mechanics exm. & my preparation is good enough only because of u. God bless u sir. #respect from core of heart.

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Thanks dear for your appreciation How was your exam

[@pb26360]

Exam was so good sir.😊😊...your lectures were there.& i understood almost all the difficulties of QM. I answered all the questions. Sir, u r most welcome here in Bangladesh.here r so many students of u.all of them r so grateful to u.

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@@pb26360 I hope someday we will meet

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Sir ji, you have awesome mind to make the student understand brilliantly. The way you make the student understand is extremely easy understandable to students.

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Although subject is complex,it has been clarified to a great extent with commendable effort. These sorts of lectures will help a lot all categories of students. Thanks sir,expecting more of you.

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Thank you so much sir 🌼 you are by far the best quantum mechanics teacher I have seen . Thank you for putting in so much efforts for us and for all the help .

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Welcome dear

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Taught in very very interesting way... clearly understood

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Glad to hear that

[@Saurabhyadav53363]

Sir normlization constant kase nikale hai hermite polynomial ke liye; sir please reply 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

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Sir please upload video on alpha particle decay from radioactive nucleus

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Sir bhut bdhiya smj me aagya jo aaj tk nii smj paye woh 4 ghnte me smj gye thnk u sir

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Sir pranam.....ap bohot simple tarike se padhate hai.....thank you sir

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[@drrajirajendran5357]

Dear sir, I am following your lecture serious in quantum mechanics. It is my humble request to you, kindly make videos on the following topics, Angular momentum, Perturbation Theory, WKB approximation and relativistic quantum mechanics

[@nawarajsubedi4388]

At 35:00, I think H(4)=8 Zi cube -12 zi

[@bhupendersingh325]

Hello sir, i following your quantum serious and it's very helpful to understand and it's almost clear many of doubt in quantum mechanics, it's my humble request to you please upload the following topics 1. Time independent perturbation theory. :- non degeneracy case, 1st order, 2nd order order perturbation degeneracy case, 1st order stark effect in hydrogen. 2.. Operators like Hermition operator, unitary operator... During the lockdown we all students stay at home, it's very helpful to utilize this time.. Thank you sir.

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Dear your topics will take more time

[@paraskashyap3012]

Sir ji namaste. Please, upload the lecture about 'Atomic spectra' and 'Molecular spectra'. Both are different units in quantum physics. Please, we are requesting to you.

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Ok dear but it will take some more time

[@Taycon90]

Sir, appko Namaskar for this imp. topic...Such a beautiful explantion..

[@pri_tam]

Sir really i'm very thankful to you for such kind of precious lec. Thank you sir.

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[@Bhuvnesh_Goel]

Thank you Sir 🙏 For all these lectures and for your wonderful explaination of the topics.. Keep making videos Please explain perturbation theory its my request it is difficult to understand as I'm preparing for competitive exams.. 🙏🙏Thank you ❤

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Thanks dear for your appreciation and sorry for perturbation Theory

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Thank you so much sir🙂.. your lectures are very helpful for us...keep uploading

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[@balkarsingh2873]

Sir . Very nice Lecture. 👌👌👌😊😊

[@shivanigangwar3325]

if put any constant perturbation term in harmonic oscillator wave function.. then bew wave function is

[@shubhamkhandelwal6764]

Amazing lecture, it is great to learn from you sir..

[@ABCD-ct6oo]

Sir I think classically forbidden region will be given by x_0 = [ 2E/(m omega^2) ]^1/2 [2E/(m omega)]^1/2 is not giving dimension of length! Kindly correct me if I am wrong. Thanks and Regards,

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Thankyou guru ji🙏🙏you truly defines the meaning of being guru a good teacher

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I complete all you lectures on Quantum Physics. Thank you.

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Welcome dear

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Nice sir ... You are great..... 🙏

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Thanks dear Parteek for your appreciation and comment Sorry dear for delayed response

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india vs aus test match se v jada maza ha eeha. thank u sir..keep uploading plz.

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Thanks dear for your comment

[@radhavyas593]

Sir how would we find the value of psi 1 psi 2 and psi 3 and so on like 4y^2 _2 etc by satisfying the equations

[@radhavyas593]

Sir please reply

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Bht bht dhyanavaad sir 🙏

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Sir i am really grateful for these lectures. Thank you.

[@simransimran8265]

sir aap plzz simple pendulum or energy in S.H.M pr bhi video bnao

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Extremely helpful❤❤😊

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thanks a lot sir for your every kind of help like these videos... thanks again

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[@ritikshabhagat1669]

Sir Hermite polynomial H^4 me -12 jaaii se multiply ni hoga.... Bcz ap sirf -12 mention kiye h? ..... Plz help sir... I have an exam

[@fashionablefashionita2581]

Or else provide any link ..i want to study it through animation

[@hk7520]

Your the best sir thank you aese hi video uploaded kar te rehena please

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Okay dear I will

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Please continue further I wish you become a great you tube teacher

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[@autoworkshop838]

how to solve this problum? for the delta function potintail with p

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Sorry dear this concept next time

[@autoworkshop838]

ok

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You are awesome 😁 sir..

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[@raouf956]

In quantum conclusion point 5, i think it should be underoot omega square in denominator .plz reply sir

[@anuragpaul8807]

Thank u sir ... Sir agar E ko hum formula se nikal sakta he Matlab E=(n+1/2)hw ...to Phir E pe uncertainty kyu bolta hu ??

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Thank you so much Sir 😊🙏🙏🙏👍👌

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Welcome dear

[@tilakchandprasad2888]

Sir quantum mechanics me Schwartz's inequality ka video add kigye.

[@_Sabya._.Shree_]

sir jharkhand lab assistant k liye koi series leke ayiye

[@amithkumar3176]

Sir, please upload the missing lectures. I am stuck.

[@jharacademy]

Sir... your teaching technique is awesome. We love your teaching. Sar please provide us notes with lectures. We will be very thankful for that.

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[@souvikdas962]

Well explanation of harmonic oscillator

[@pallavipokhariya5035]

Sir which force is responsible for the minimum energy of the oscillator?

[@shreeduttapani9946]

Sir,plz nuclear and particle physics pe vedios upload kigiye na.

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Okay dear I will try

[@armatureflux]

Sir particle in attractive delta potential per kuch discuss kar de please

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Sorry dear not this time

[@wahidkazmi1011]

Respected Sir.. with a lot of Love n Respect from Pakistan.... n also a request to Upload a Lecture on Hydrogen atom .... Regards...

[@chanakyatiwari]

Sir please make a video on " angular momentum " and " spin angular momentum " in quantum mechanics

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Okay dear

[@chanakyatiwari]

@@SANJUPHYSICS thanks sir 😄

[@SharmaSirPhysics]

Sir plz WKB and variational method pe video bnaye

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Okay dear I will try

[@alpha_oo1]

धन्यवाद गुरुदेव जी

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प्रणाम ji

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Hi xotuuuu!!! Lots of love ❤️

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Sir Eit ma humara final year project ha means research ha us ma laser plus quantum ka topics ka final results use hotay ha unke kuch physics ko understand kurna zurorey ha ugur ma apko un topics ke list send kurdo or ap hur aik ko 5 to 8 mint ka time interval day kur aik lecture agur 1.5 hours ka tyar kurday to humarey bulkay Eit sa related jitney be reseach ka student ke bohut help hojahay ge wo topics hum nay study to kya mugur revise na kurnay pur physics bolgahay

[@Amityphysics]

splendid explanation

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Nice explanation

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[@ahasaasahuja9313]

Sir pls make lectures on relativistic quantum mechanics

[@ramprosadkundu2920]

Sir kindly upload videos on Dirac notation

[@SANJUPHYSICS]

Sorry dear it will take some time

[@gauravkaushik4174]

Sir , you explain the topic good.please make video on time dependent perturtaion theory in quantum mechanics

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Dear it will take some time

[@wardaansari5338]

Sir would you explain keplers laws And two bodies in central force

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I will try dear

[@naveenthakur5739]

Sir please make video on Pauli matrices also

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Sorry dear not this time

[@subhalaxmiswain8640]

Sir please upload video on Gaussian wave packet of quantum physics 🙏🙏🙏

[@mrmagnanimous3775]

Sir principal of least action ka bhi video plz🙏

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Okay dear

[@Anshikaa_Gupta]

Sir plz complete this whole quantum mechanics lecture series.

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Dear I will try

[@Ram-pd3tb]

Amazing 👌👌

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Thanks dear

[@fashionablefashionita2581]

Higher Quantum mechanics m approximation method krwa dijye sir please

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Sorry dear not this time

[@fashionablefashionita2581]

Suggest any platform do that we could learn the same

[@avnishjha2124]

Sir Rigid Rotor ka video ayga kya ?

[@SANJUPHYSICS]

Dear it will take more time

[@opstorm3279]

Sir in my book the polynomial starts like this n=0,H 0in subscript = 1

[@anupamacanil8942]

thank you

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Welcome dear

[@duduhashimbamb3923]

thanks sir QM dubara se continue krne k lea ...sir degeneracy k concept w.r.t Schrodinger equation smjha den ....

[@SANJUPHYSICS]

Thanks for your comments Sorry dear this topic will be next time

[@unresponsive1929]

Sir degeneracy concept ke upoor video banao wet Schrödinger equation. Pls sir 🙏🥺

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Sorry dear for your topics

[@anitajangir3167]

rigid rotator topic disscuss karo sir bhut important h ye topic

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I will try dear

[@anitajangir3167]

@@SANJUPHYSICS okk sir but plzz jldi..

[@asthaupadhyay7603]

sir , iit jam ke liye kuchh imp topics padha dijiye plz . ya ek guiding lect bana dijiye . plzz sir

[@SANJUPHYSICS]

Dear abhi theory par hi focus hai

[@qamarkhan5385]

Sir please make a video on free particle in Quantum mechanics

[@physicsshaheenpakistan9628]

Sir please upload a lecture on the following topicdefine the term box as used in quantum mechanics in Urdu

[@mohmadhasnain4018]

Thank u sirrr

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Welcome dear

[@8aroll34avijeetkumar4]

Sir black body radiation parr v video bna dijiye na please.

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Okay dear

[@naveen__sah]

Thank you sir ❤️

[@Siya-zp8ik]

Ty sir😊

[@surajitmondal95]

Salute cute child

[@AmitTiwari-kf5lj]

Great sir

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Thanks dear

[@Intellectual_Me]

You didnt explain the bahvior of graph for E=0.49hw and for E=0.51hw😢😢😢

[@usamachodry4976]

Sir ye apka beta haa chota bhot cute haaa

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She is my daughter Thanks for your comment STAY HOME STAY SAFE

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Sir please upload videos on quantum theory of hydrogen -like atoms

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I will try dear

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Sir do you want a tip related to making vedio ?

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Sure dear I will be thankful to you. 9729446786 what's app

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Thank a lot Sir

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Welcome dear

[@mrmagnanimous3775]

Sir classical mechanics lecture 10 kb ayega...

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Thanks dear Wait for some more time

[@PushpaKumari-fp4ek]

Sir spectrum of hydrogen atom padhaiye please

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Ok dear

[@maithilvinayraunak6368]

Thanks sir

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Welcome dear

[@ZaChaudhry]

sir kindly Perturbation Theory, WKB approximation pe lecture bana de. I am student of Msc physics and next month mere exames hain. Love from pakistan

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Sorry dear not this time