Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 42

The Discrete Quantum Pendulum

A. Bobenko, N. Kutz, U. Pinkall

Phys. Lett. A 177 (1993) 399-404

We study a doubly discrete quantum sine-Gordon equation, which is derived from the quantum Volterra model solved by Faddeev and Volkov [Theor. Mat. Fiz 92 (1992) 207]. The discrete quantum pendulum is obtained as the simplest special case. The eigenfunctions of its Hamiltonian, displayed as densities on the phase space, are very localized around the classical energy levels.

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