Particle in a 1D Box | Infinite Potential Well Problem in QM

[@Gaoshan-k7s]

For a person like me who has just started a topic in Quantum Mechanics, where teacher shows Schrodinger's equation, and leaves the curiosity unanswered, I find this really helpful. Thanks!

[@pauldirac6243]

Another great lecture Dibs, thanks.I think that after 30 episodes, you finally found your stride.And these lectures are becoming fun and informative and exciting.Keep it up!

[@ajittiwari9766]

Please continue this series on Quantum Mechanics ❤

[@SergeyPopach]

In quantum physics, the particle is not always has discrete energy levels. It has only discrete energy levels if it’s in bounded states.

[@samuelmr677]

😮😮 Ooow🤔🤔

[@elfb144]

One of the best courses in QM💯💯💯

[@koushiksaikia]

Very well explained sir.Please make a video on Dirac orthonormality related to momentum eigen functions. Also address the point, why we can't have discrete momentum eigen values. I have been trying to understand this portion from Griffiths QM book,but not understood properly.

[@adityanastik8098]

Plz continue sir....❤❤❤❤

[@Ankankumar6811]

Please continue sir ❤

[@jackdeago3639]

Thank you for such awesome videos can you made another series like this but about general relativity

[@gutentaghallo1267]

Great job!

[@Shubhnay24-x5j]

Thank you sir❤

[@AyanMandal-pk8jm]

Hi i am a very old viewer of your channel. I started watching your channel when i was in class 9 and now i have completed my 12 th .i always like your video very much. I have a doubt in this question that why the probability density is independent of time? As the particle has a velocity it should be moving inside the well ,so the probability density should vary with time but it is not happening .can you explain why this is happening?

[@FortheLoveofPhysics]

That's an interesting feature of particles bound to potentials. The wave function is dependent on time and continuously evolves with time. However the eige functions represent stationary states. Probabilities and expectation values are independent of time. Even though we can imagine the particle to be continuously in motion (a perspective of classical physics) QM theory can only offer this information. U must have also seen the fixed orbitals of H-atom

[@Ankankumar6811]

'Sir when your new lecture is coming' it feels like Endgame is coming after Infinity War 😅

[@fehmi35]

Beautiful lecture, I hope you make a video on periodic potential, Bloch function etc.

[@SergeyPopach]

The infinite potential well is just limiting case of more realistic, but complex finite well case. Just like Dirac delta function potential case…

[@DagonFF]

Hi, have you planned a video about the case of the finite potential well? Thank you for this amazing series!

[@FortheLoveofPhysics]

Yes will cover finite well

[@zhenwalker]

Which book is best for general relativity

[@pauldirac6243]

I'll ask again, What determines the value of the Cn coefficients? @37:40

[@GEOMIN_]

Thanks dada ❤

[@loban6162]

Please continue sir

[@pauldirac6243]

I also heard about things like the Fourier trick or the Fourier transform As a method to find the CN coefficients.I'm really interested and curious about it.If somebody could please tell me...I'm dying here..is there anybody out there?..

[@FortheLoveofPhysics]

Cn coefficients can be found by doing an inner product of the system wave function with the individual respective eige function solution

[@pauldirac6243]

@FortheLoveofPhysics great, thanks, can you explain in more detail in a future video? 😀

[@Folorunsho3729]

14:56 if our system is 1-dimensional, why are the energy levels increasing in another direction? Please explain why that's so.

[@FortheLoveofPhysics]

Particle can only move in x-axis. That's why its 1D. Energy levels simply show the value of energy the particle has, for that we have chosen the other axis as - energy axis

[@Folorunsho3729]

@@FortheLoveofPhysics that must mean we aren't really right in our diagram, but we're are restricted to use it that way as it's really hard to get the intuition of how the discrete levels is oriented?

[@FortheLoveofPhysics]

@@Folorunsho3729 It's only confusing if you imagine both axis to represent space dimensions, and hence imagine particle to be moving in 2D plane (which isn't the case). Even in the initial diagram, the y-axis represents Energy (with two hard walls representing infinite potential). such diagrams are quite common

[@Folorunsho3729]

@@FortheLoveofPhysics aiit thanks

[@Gokulkrish-k8b]

Energy associated with the particle in 1d box is discreate why? Bcz in QM we represent the particle by using wave function (Wave) so the wavelength associated with the wave with in the box is discrete so the wave number K is also discrete and the engrgy also discrete ( This is only true for the bounded systems like Infinite box,LHO and H atom ) Is this correct sir .... If not please explain

[@FortheLoveofPhysics]

Yes, that's correct

[@VikramSingh-gs1ud]

Sir what is utility of these 1D 2D potenials n harmonic oscliiator..plz explain where i see n use these in my daily life..plz explain some physics examples where these concepts r used..plz reply sir..i would b obliged sir

[@itsoktochoosephysics]

Daily life?are you serious brother?

[@pauldirac6243]

Are the Cn coefficients of the linear superposition found by using a Fourier series analysis? Or something else?

[@koushikmandal997]

For this case Hamiltonian and momentum operator commute with each other. Can you please tell why the eigen function of the Hamiltonian is not an eigen function of the momentum operator ?

[@amankumarnaik1576]

Sir can you explain why n can't take zero value and why it vanishes as we have also different value of n and it can take any other value?

[@rks362]

Sir, plz upload finite square well potential for both bound state and scattering solutions...

[@RiyaShrivastava-w4l]

Sir pls make video on chemical bonding and molecular structure

[@itsoktochoosephysics]

Sir, please upload more videos.

[@venkatbadhrinarayanan2282]

at 17.32 the video is not clear sir

[@Balgopal-bd6lf]

Sir next lecture plz..

[@harry-ho9ti]

From where concept of potential well comes in quantum mechanics.?

[@1deespace]

An atom is a system. The electron is trapped in that system. The electron can't escape the atom. Potential well is an analogous concept to an atom.

[@SergeyPopach]

@@1deespacethe atom system is not square potential well case. the atom potential is way more complex and can be only approximated with quantum oscillator case

[@tulangsodimha8699]

You didn't teach how to draw wave function graph.😢

[@jacobvandijk6525]

Keep remembering that a. the particle has a mass (so it can't be a photon), b. that it's velocity is non-relativistic and c. that it has no spin.

[@FortheLoveofPhysics]

All valid points.

[@deviljetsay4732]

Sir please series me itna gap mat kijie😊

[@rishukumar7158-h1w]

16:26

[@RanaAli-tc4eu]

Love from Pakistan🇵🇰❤

[@M.Sarfraz-u3m]

❤

[@rishukumar7158-h1w]

22:58