Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices
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🧮 math-ph
math.FAmath.MP
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formulamatricesriemannspectraltracetri-diagonalarisingasymptotics
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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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