Trace formula and Spectral Riemann Surfaces for a class of tri-diagonal matrices |
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| Authors: | Plamen Djakov Boris Mityagin |
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| Affiliation: | aDepartment of Mathematics, Sofia University, 1164 Sofia, Bulgaria;bDepartment of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, OH 43210, USA |
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| Abstract: | ![]()
For tri-diagonal matrices arising in the simplified Jaynes–Cummings model, we give an asymptotics of the eigenvalues, prove a trace formula and show that the Spectral Riemann Surface is irreducible. |
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