
#1
Jan1310, 07:21 PM

P: 1

Hi Everyone,
I'm trying to find the eigenfunctions and eigenvalues for a quantum spinless particle within two concentric cylinders of radius \rho_a and \rho_b , where \rho_a is less than\rho_b, with Dirichlet boundary conditions at these two radii. It's clear to me what the solution is for the case of \rho_a being equal to zero. The radial solution is the Bessel Function of order zero but how can I find the solution when \rho_a is finite. IF I know what is the spectrum for this problem then I think I can determine what is the spectrum when there is a constant magnetic field B along the z direction only within the inner cylinder. Please help 


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