Particle in an Infinite Potential Well (QUANTUM MECHANICS)

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Particle in a Box, or Particle in an Infinite potential well (square/rectangular) is a common and important problem in Quantum Mechanics.
In this video, I discuss the Quantum behavior op a particle confined to a box. to make the problem simpler, we assume that the particle's motion is restricted to one dimensions. In such a case let's suppose the particle is confined in between x=0 and x= L where it encounters an impenetrable barrier. So the potential in between 0 and L is zero but infinite every where else. athe way to solve this problem is to solve th Schrodinger's Equation.
Here I write down the appropriate Schrodinger's Equation fod particle stuck inside an infinite potential, solve it, obtain the values of its coefficients, plot the wavefunction as well as probability density and discuss the nature of discrete energy levels.
This is a complete video on the quantum mechanical solution of a particle in an infinite potential well. So it got a bit lengthy.
Hope you find the video helpful.
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Опубликовано:

11 июл 2024

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Комментарии : 145

@FortheLoveofPhysics 4 года назад

Correction : At 20:26 I made a mistake for the trigonometric identity involving Sin2x. It should be Cos2x = 1 - 2(Sinx)^2 or, (Sinx)^2 = (1 - Cos2x)/2 FORTUNATELY, the final integration result (and normalization constant) came out to be exactly the same... So final result is correct. Uff :D

@usamagunjial1226 3 года назад

Its ok sir

@gkentertainments7387 3 года назад

From ur teaching I realize lot about quantum mechanics so thankful to anna..... ❤

@noiq9652 3 года назад

Spot it but thoughts its a different way as the answer came to be correct

@noiq9652 3 года назад

Comes from a chemistry with a lots of doubt on quantum chemistry the lecture was awesome doubt was clear and thank you again for the fluent English as i hardly knew or understand hindi thank you again appreciate so much bro

@sivasakthisaravanan4850 3 месяца назад

Then how did you get the final answer correct?

@lincolndexter9514 4 года назад

This is hands down the best lecture on the subject on youtube at this level. Hats off to you sir, great job.

@hedain6436 3 года назад

Watched a lot of explanations over 10 years. This one is the clearest.

@karabomothupi9759 4 года назад

Clear and concise. Great content

@muhammadhishamtariq141 4 года назад

Magnificently done, Sir.

@guccilibrarian4728 2 года назад

Brilliant! I got what I needed in the first 2 minutes of watching the video. Thank you!

@chanakyaprasad2118 4 года назад

Sir you are an really an amazing lecture your vocabulary is so apt Please make quantum mechanics videos as a playlist just like nuclear Physics

@arghya.7098 2 года назад

I'm here to thank you for this lecture. This cleared all my doubts in this topic and I have attended all the question on this topic in my semester exam. Thank you again sir.

@JinkyAgarwala0 4 года назад

Nicely explained as expected!

@tejashreebhat Год назад

So much neatness and wonderful explanation..Understood it in one go. Thank you so much sir.

@danielpayne7947 3 года назад

This was so informative. Thanks you so much for the time.

@mazharali5348 11 месяцев назад

Very clearly explained, thanks for such precious videos.

@NatureLover-oq6uc 2 года назад

Bestest explanation one could ever give on this topic.....

@apanbakhumancha3102 2 года назад

Thank you very much Sir . Helps a lot. Smoothly explained.

@NarrowEdgeTrading 2 года назад

FANTASTIC video! If you are here looking for a quick fix to your quantum well problem, please just take the time to watch this video. Explanation and walkthrough is phenomenal. This will help you with understanding and solution of more complex 2D systems as well.

@usamagunjial1226 3 года назад

Your lecturer is always clear and more conceptual thanks you sir for your lot of hardwork ❣❣

@mr.physics6707 3 года назад

Most amazing...I learned everything properly...

@kaviakaliamoorthy1321 Год назад

Thanks for the vedio sir .. clearly understood

@kushalsahu8332 11 месяцев назад

First time in my life i understood 95% of the content in any quantum mechanics lecture thanks to you sir 😇😇

@dhruvashi 3 года назад

Such an informative and detailed lecture ..

@architjaiswal5952 2 года назад

Salute you! not enough words to thank...

@physicsworld1022 Год назад

Nicely explained.

@anshulchoudhary302 2 года назад

You are great sir!!!!!!!

@fereshtehteachestolearn 27 дней назад

Thank you so much .

@maya1shandilya 4 года назад

Awesome... Lucid and simple....

@user-nv5mw4qb4f 11 месяцев назад

What a nice and organized video about such an important topic about quantum mechanics…you r such a brilliant teacher🫡

@Preeti-zs4js Год назад

superb video lecture❤💕

@helloworld12321 2 года назад

Mind-blowing lecture 👌

@sibasishdutta9009 2 месяца назад

Brilliant lecture sir❤❤

@pksundram7582 3 года назад

Excellent presentation.

@RiCHiN_ 4 года назад

Really useful video... Hats off sir....

@najninmansuri9346 4 года назад

Great explanation sir 👍

@SoulOfBharat Год назад

You are a brilliant mind person, only some person can identify your knowledge.. Thanks for this video . And if you see this then make a ❤

@arpitwasnik856 Год назад

Amazing lecture sir!!

@deepakkotnala1658 4 года назад

Thank you so much sir this help me a lot to visualise the quantum world...plzz make a complete separate playlist for quantum mechanics so to get complete visualisation....Again thank you sir Nd all the best for your channel....

@srisindhu4856 3 года назад

I am very thankful to you sir🙏

@muhammadwajid8507 3 года назад

Great sir.

@manisha-1927 2 года назад

Sir ur way of teaching is incredible ❤️❤️❤️

@saadhassan8813 2 года назад

Great teacher

@rinamondal2866 Год назад

Thank you sir 🙏😊

@motivationalquotes2085 4 года назад

Sir aap bhut acche se explain karte, apka fan ho gya

@rubabayesha6625 2 года назад

U nailed it boss

@techview5592 Год назад

Very nice and informative lecture

@chamlaphysics2625 2 года назад

Well explained

@sarthakgirdhar2833 4 года назад

This was an amazing video sir. I think it will be really helpful to students if you created a whole series of quantum mechanics, based on Griffiths. Prof. Brant Carlson has already made a course on YT, but I think that too lacks a certain rigour in explanation of complicated problems.

@anidiamond7994 3 года назад

Thank you sir very nice presentation

@NRUSINGHAPRASADMAHAPATRA 3 года назад

Thank you so much Sir 🙏😊

@davidmusoke 4 года назад

Excellent video ..can you also make one for the Finite, Spherical and other types of PWs?

@Muhammadusman52281 3 года назад

explain Excellently...

@pargatinsp8387 4 года назад

Superb explanation please make more vedios on quntum mechanics

@bilalphysics4872 4 года назад

U r teaching best sir

@user-eb2mn5nr5h 2 месяца назад

Thankyou sir 🎉❤😊

@journeyofc6200 Год назад

Best lecture

@foodlovers925 3 года назад

Fabulous lecture

@areejliaqat1813 3 года назад

Good lecture

@neta7823 4 года назад

thank you so much, you really helped me , l have an exam tomorrow about this argument...

@abhilashreddy4128 3 года назад

Great Content

@rojalinbehera6242 2 месяца назад

You know everything ❤

@poojapanwar5919 3 года назад

Wow amazing

@basirulislam333 4 года назад

Nice lecture 👌👌

@mahendramosalpuri8928 3 года назад

Let me share personal experience after beging remail till the end of video I quite unable to finding any single moment or second during I not enjoy not learn vai this beautiful video this thosand thosand and thosand time better than following any book for understand this topic I totally flat on your way of quite simple explanation of any hard topic its absolutely unique and finally I suggest if anyone who wants to learn, visualizes this beautiful subject follws this awesome leacture serious vai channal of for the love of Physics

@OfficialHelloPhysics 4 года назад

Please make video continuously,sir ,🙏🙏🙏🙏🙏🙏

@rushamyadav4049 4 года назад

Thanks sir 🙏

@walimuhammad4270 4 года назад

excellently explained sir please explain free particle as well

@satyanarayanbarik1701 2 года назад

Thanks sir

@kuleshwarvishwakarma330 4 года назад

Amazing sir.. Plz make a lecture on ortogonalty conditions....

@jacobandersen9912 2 года назад

holy crap thank you

@sachinmishra4045 3 года назад

I have never found a teacher like you... You make equation so easy😍😍.. Plz make more videos on quantum physics...

@sonatinac8514 2 года назад

My physicist lecturer writes snakes

@indranipaul5032 4 года назад

Sir... please make some videos for the topics of Quantum mechanics like ... Radiation,de Broglie hypothesis, Compton effect, particle diffraction...it ll be quite helpful. During lockdown,clg off.so.. please sir i m requesting u...to make some videos for the given topics. Please sir.

@sowparnikhaa5552 3 месяца назад

Nice explanations sir.... Pls upload more videos in quantum mechanics for csir net students

@artiverma6266 Год назад

Tq sir✨

@advikawalia1914 4 года назад

very nice Dibya .......I Liked it very much.

@FortheLoveofPhysics 4 года назад

Thanks a lot :)

@usmankhan828 2 года назад

Excellent work,sir I must ask how you record your lec..its really amazing....please dont late to tell me....

@rubabayesha6625 2 года назад

Perfect

@user-ol2sy3fn8v 10 месяцев назад

minor correction needed (started at minute8:15) k=squareroot(2mE/h) should be k=squareroot(2mE)/h. Thank you, great explanation!

@juniortogaming Год назад

Thanks for the video, clear and easy. However audio is a bit echoing, although after some time gets used to it.

@mohammadsuleman3058 3 года назад

Sir make a Playlist for quantum mechanics lectures

@gajendrakumartarak8839 4 года назад

Nice sir

@ankithamenon8398 3 года назад

Sir, how can we calculate the probability of a particle in box where in the length of box is suddenly increased to 4 times the initial length

@kaviakaliamoorthy1321 Год назад

Sir if possible can u please make a lecture for potential barrier problem for both cases energy greater than and less than potential barrier

@simplesolutions5909 3 года назад

woah your writing is quite good please share its pdf with us!

@ashishsolanki4780 Год назад

sir how our final wave function can have infinite solutions if we have already normalized it?

@mukulsharma7397 4 месяца назад

00:01 Particle in an infinite potential well 02:16 Time-dependent Schrodinger equation can be transformed to a time-independent equation in specific cases. 07:11 Solving the differential equation of a particle in an infinite potential well. 10:11 Particle confined between X = 0 and X = L 15:07 Wave function can have infinite values 17:33 Schrodinger's equation has infinite solutions, but only those satisfying boundary conditions are valid for physical particles. 22:46 Derivation of the eigenfunction solution of the time-independent Schrodinger equation 25:15 Different Wave Function Representations 29:17 Quantum particles have discrete energy levels 31:38 Quantum mechanics leads to discrete energy levels 35:49 Wave functions can be categorized as even or odd functions based on specific conditions. 38:03 Wave functions have nodal points and are orthogonal to each other. 42:09 Eigen functions satisfy boundary conditions and have specific energy values.

@brajeshsaraswat8667 3 года назад

Sir please book you want to suggest me to build this subject smoothly .. because the general solution of second order you showed me not given many books which is confusing because this kind of direct approach to derive something is confusing for me given in books so please sir suggest me a book now i have a grrifth quantum mechanics. .. but many things are missing like completeness theorem , many internation comes in doing derivation, to understand derivation .. please suggest me a good book .. atleast reply if you want to give an advice 🙏 i am preparing for an exam

@faizanahmed8671 2 года назад

how to calculate given the wave function

@khalifabasitali4307 Год назад

sir upload the all topics of Quantum mechanics and explain the Griffeths writer book.......

@mirandaoinam4111 4 года назад

Sir please make videos on atomic and molecular physics..... Sir ur lectures are very interesting and I haven't find such a good lecture like u even in Delhi university

@FortheLoveofPhysics 4 года назад

I teach in du myself. Hope my students don't think the same :D

@ogwalnorman3438 7 месяцев назад

I just need to know how u get all these concepts.

@PriyaPriya-sc6yy 4 года назад

Sir, may I apply in physical chemistry .....

@yasmeenajan3955 2 года назад

Please apply this for electron proton system

@jamesantwi7895 2 года назад

Woww🔥

@karthikh1271 3 года назад

Sir pls make a video on finite square well potential

@phyziks878 2 года назад

Sir my ques is.. What is importance of normal mode!? And why we imposed boundary conditions here!?

@preranadash9640 3 года назад

Sir, as the particle is moving inside the box then it must have some energy and if we some how calculate it's energy then we can calculate corresponding wave function. And if we are unable to calculate its energy then also it has some specific energy which is constant but it's wave function is linear superposition of all the above mentioned wave function.Sir, Can you please clear my doubts ;) And thankyou sir all your videos are the BEST.