Derive Time Independent SCHRODINGER's EQUATION from Time Dependent one

In this video, I reduce the general (non-relativistic) time dependent Schrodinger's Equation to the Time Independent Schrodinger Equation.

This can be done using the method of separation of variables where the wave function which is a function of space and time is assumed to be a product of two independent functions of space and time separately. This is possible for only those cases where the potential force field experienced by the particle is independent of time, for eg, electrostatic potential field, etc. By using the Planck-Einstein Postulate, we can separate the time dependence and write the final solution as a product of a stationary state (eigen function) and its corresponding time dependence.

Schrodinger's Equation is one of the most Fundamental cornerstones of Quantum Mechanics. It describes the behavior of any quantum particle. Its solution contains all the information about the nature of position, energy etc about the particle. Schrodinger's Equation is to quantum mechanics what Newtons Second law is to Classical physics.

Peace.

“ Truth is the offspring of silence and unbroken meditation. ”
— Isaac Newton

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LINK TO OTHER VIDEOS

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What is a Geiger Muller Counter? - GM Counter

The Four Fundamental Forces

Ehrenfest Theorem | Derivation using Schrodinger's Picture

ObtainingTime Independent Schrodinger's Equation from Time Dependent form

Can electrons exist inside a nucleus?

Electron Wave in Bohr Model of Atom!!

Inductor | Why Current Lags behind Voltage by 90 degrees?

Newton's Laws of Motion

Dynamics of a Point Mass Particle | Conservation of Linear/ Angular Momentum/ Energy

History of Special Relativity (Part 1) - Galilean Invariance & Maxwell's Equations

History of Special Relativity (Part 2) - Michelson Morley Experiment

Special Theory of Relativity

What is Time Dilation? (Thought Experiment)

What is Length Contraction? (Thought Experiment)

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[dipeshjoshi]

Thank you so much sir, For nicely explaing this concept.
🙏🙏You have a great presentation skill..
I am proud of my self because I am your student ...🙏

[jai]

You are the best in teaching physics among the all channels available on you tube..

[parasjain]

Keep up the good work .
God bless the noble heart .
Thank you .
Jai Hind !!

[olfeljj]

Sir first of all, amazing video, great explanation about the consepts
I only have one question: Why of all solutions of the equation derivative (y) = ay you choose the y = e^ay and ignore the interval constant?

[adityamittal]

Very lucid explanation...great effort
For the love of Physics.._/\_

[anjaliKumari-iwps]

Sir ..time dependent schrodinger equation ko hume space and time mai separate krna hai ..this is my question and my doubt is ..time dependent se time independent schrodinger equation ko convert krdena ki kya space mai convert krne ka mtlb hota hai..

[sabar]

sir plz post more video on quantum mechanics

[soutikadak]

Sir, please make a lecture series on Quantum Mechanics.

[naveenvashistha]

Sir please make a video on what is psi?

[shianas]

In which case we can reduce this equation ?

[ziaurrahman]

Sir any question about this topic ....from

[-tq]

Sir can we eject all electron in Hydrogen atom
Means this is possible or not

[mera_kuch_nhi_ho_skta]

derive time independent schrodinger wave equation for the motion of an electron

Plz explain this question

[manishatak]

Sir plz upload derivation of schrodinger's time dependent equation.If it is, plz send link of the same.

[karangarg]

Sir hindi me video bnaea kro.
English me toh foreign videos b bhot mil jati hai