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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2004 Volume 138, Number 1, Pages 35–40 (Mi tmf14)
Evolution Operator for a Quantum Pendulum

S. M. Sergeevab

a Max Planck Institute for Mathematics
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: We conjecture one remarkable relation for infinite series in the simple Weyl algebra. This relation expresses an evolution operator for a quantum pendulum via its Hamiltonian.

Keywords: simple Weyl algebra, compact quantum dilogarithm.

Received: 18.12.2002

DOI: 10.4213/tmf14


 English version: Theoretical and Mathematical Physics, 2004, 138:1, 28–32

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© Steklov Math. Inst. of RAS, 2024