Schrodinger equation using pdemodeler

Hello! I'm a beginner wondering if it's possible to plot the solutions of the Schrodinger equation in PDE Modeler. Would somebody kindly guide me on that?

[Torsten]

If you are a beginner, you shouldn't start with the Schrodinger equation, but with MATLAB Onramp to learn the basics of the new software free-of-costs:

https://matlabacademy.mathworks.com/details/matlab-onramp/gettingstarted

[Sejal]

Thank you for the resource, sir. But while I explore that, I think a few tips on plotting the schrodinger equation solutions in the modeler will help.

Answer 1

[Torsten]

Since there is no example for the Schrodinger Equation in the PDE Toolbox, I'm not sure it can be solved using this tool. I suggest you contact MATLAB Support to ask if this can be done. Maybe they already have a simple example to start with for your application.

https://uk.mathworks.com/support/contact_us.html

Explain your problem properly (dimensionality, equation, boundary conditions) when contacting support to make it easier for the team to answer.

Here is another code from the file exchange that might be of interest:

https://uk.mathworks.com/matlabcentral/fileexchange/69884-q_schrodinger1d_demo

https://uk.mathworks.com/matlabcentral/fileexchange/69885-q_schrodinger2d_demo

https://uk.mathworks.com/matlabcentral/fileexchange/69886-q_schrodinger3d_demo

But to handle these self-written codes, don't forget to pass the MATLAB Onramp course before.

[Sejal]

Thank you, sir; this really helps!

[Duncan Carlsmith]

See https://www.mathworks.com/matlabcentral/fileexchange/180797-quantum-mechanics-in-1d-with-the-pde-toolbox?s_tid=srchtitle, https://www.mathworks.com/matlabcentral/fileexchange/180798-quantum-mechanics-in-2d-with-the-pde-toolbox?s_tid=srchtitle, and https://www.mathworks.com/matlabcentral/fileexchange/180818-quantum-mechanics-in-3d-with-the-pde-toolbox?s_tid=srchtitle

for examples of the use of the pde toolbox to find the eigenstate solutions of the Schrodinger equation from which the time evolution of any state may be calculated. (See other related scripts at https://www.mathworks.com/matlabcentral/fileexchange/?q=carlsmith&sort=date_desc_submitted )