Spectral Zeta Functions for Spherical Aharonov-Bohm Quantum Bags
نویسنده
چکیده
We study the sum ζH(s) = ∑ j E j over the eigenvalues Ej of the Schrˇdinger equation in a spherical domain with Dirichlet walls, threaded by a line of magnetic flux. Rather than using Green’s function techniques, we tackle the mathematically nontrivial problem of finding exact sum rules for the zeros of Bessel functions Jν , which are extremely helpful when seeking numerical approximations to ground state energies. These results are particularly valuable if ν is neither an integer nor half an odd one. Dedicated to David Bohm, in memoriam E-mail address: eli @ ebubecm1.bitnet
منابع مشابه
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