Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 329

Exact Spectral Values for Discrete Quantum Pendulum-Integrals

J. Kellendonk

For specific choice of parameters the spectrum of the discrete Quantum Pendulum-Integral contains the eigenvalues of a finite matrix which depends analytically on the flux. Under natural continuity assumptions these eigenvalues include the spectral values which may be obtained by the algebraic Bethe-ansatz.

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