Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices

Details Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices

2005-09-14

arxiv.org/abs/math-ph/0509030v1

Physics

Mathematical Physics

38 pages

Scientific paper

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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