A transfer matrix method for the analysis of fractal quantum

[Blidaru Bogdan]

Good day, guys !

I am working on a project regarding the transfer matrix method used in quantum tunneling by means of a MATLAB program --- Cantor set fractal potentials. I am trying to represent some things here (as seen in the document below) :

- the eigenvalues for the energy
- the representation for the transmission coefficient

The only problem is, as a beginner in MATLAB, I do not know how to generate such a function. Some indication would be great.
The document for this is here (obviously without the program :D) :
http://iopscience.iop.org/0143-0807/26/4/005/

Thank you !
Have a pleasant day !

 

[eljose79]

Thank you for sharing your project with us. It sounds very interesting and challenging. I have some experience with MATLAB and I would be happy to provide some guidance on how to generate the functions you need.

To generate the eigenvalues for the energy, you can use the built-in function "eig". This function calculates the eigenvalues of a given matrix. In your case, you will need to create a matrix representing the transfer matrix method and then use the "eig" function to calculate the eigenvalues.

For the representation of the transmission coefficient, you can use the "plot" function in MATLAB. This function allows you to plot different types of graphs, including line graphs, scatter plots, and histograms. You can use this function to plot the transmission coefficient values against the energy levels.

I would also recommend checking out MATLAB's documentation and tutorials for more information on how to use the "eig" and "plot" functions. You can also find helpful tips and examples on online forums and communities dedicated to MATLAB.

I hope this helps you get started with your project. Good luck and have a pleasant day!