Numerically solving the SCHRODINGER EQUATION in SCILAB | Harmonic Oscillator | Infinite Square Well

How to solve the Schrodinger's Equation using Numerical Computation? In this video I solve the Time Independent Schrodinger Equation using a numerical/computational techniques in Scilab.

The video is divided into two parts. In the first part, I discuss the Numerical techniques/ Approach that is needed to set up the problem. I use Finite difference method to find out the second order derivatives in the TISE.

In the second part, I build the necessary Program in Scilab based on the technique mentioned and use it to solve the cases of Harmonic Oscillator, Infinite Square Well Potential, Inverted Double Well Potential, etc

00:00 Introduction
01:14 Numerical/ Computational Approach
21:49 Building the Program

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[amanjangid]

you had put an elite level of And i genuinely respect your work

[ayanpatra]

After a Few Year (Due to distraction in COVID) Once Again I fall in Love in Physics .. Thank You Sir💕💕💕💕💕💕
You are the Only Inspiration...

[sangeetamehra]

This is the best channel ....I found for sci lab ✨👌👌

[jkpradhan]

Excellent.. please suggest few references on this particular method 🙏

[swetha]

You are amazing sir, I can easily understood the concept one request please, board lectures is effective than this

[ankanbhattacharyyaphysics]

Thank you so much Sir for these videos on numerical method ..Sir please suggest a book to understand the numerical methods for solving quantum mechanical problems

[aboozardezhara]

how can we solve numerically Schrodinger equation in 2D or 3D?

[kateobaze]

Thank you sir, please do a full quantum mechanics course, advanced Electrodynamics and Statistical mechanics

[noheartunicorn]

Wow, I like this video so much! Thank you sir

[vinitpandya]

Great Video!!
Can you please upload a video on quantum tunneling represented using MATLAB?

[alendominic]

Sir, suppose I want to introduce a gaussian wavepacket into a potential. So I take my initial wavefunction to be A*e^-(x^2) * e^(ikx). From QM I know it should spread as time goes on and I get that in my program.
But in addition to that I would also like the wavepacket to have some group velocity. So how can I modify my initial wavefunction to get some group velocity?

[Manish-vvqg]

Sir can you do for finite portential well

[hbedit]

Sir please explain the code behind the plot of Plotting wavefunctions of ground state and first excited state of hydrogen atom.

[spoorthimpspoorthi]

Sir plz make video's on solid state physics

[ibrahimsaidali]

A: Many to remember.
B: I remember many.
C: This is amazing.
D: So thank you.

[pauldirac]

@9:10 I think you have an extra "E" in the equation there.

[adityamalviyaadi]

Sir pls make a video on general relativity

[griffithfimeto]

If there is a solution for schrodinger Saxon woods potential ? Please give me or just explain no one did it in shell model