Particle in an Infinite Potential Well (QUANTUM MECHANICS)

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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[FortheLoveofPhysics]

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

[lincolndexter]

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

[ojimaozioma]

If not for Our Indian brethren what would we have been.
Most of our lecturers make us to run to YouTube videos like this for help. And great you've done a very great Job Man. God bless you for us here in Nigeria ❤

[hedain]

Watched a lot of explanations over 10 years.

This one is the clearest.

[kushalsahu]

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

[chanakyaprasad]

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

[SoulOfBharat]

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 ❤

[usamagunjial]

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

[NatureLover-oquc]

Bestest explanation one could ever give on this

[arghya.]

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.

[deepakkotnala]

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....

[tejashreebhat]

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

[NarrowEdgeTrading]

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.

[guccilibrarian]

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

[sachinmishra]

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

[stevenhuynh-iq]

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

[mazharali]

Very clearly explained, thanks for such precious videos.

[manisha-]

Sir ur way of teaching is incredible ❤️❤️❤️

[apanbakhumancha]

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

[sarthakgirdhar]

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.