27 citations · 27 across the 1 of their papers we have counts for
5 papers
Transfer operators for and the Hecke operators for the period functions for
J. Hilgert, D. Mayer, H. Movasati
In this article we report on a surprising relation between the transfer operators for the congruence subgroups and the Hecke operators on the space of period functions f…
An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups
D. Mayer, J. Neunhaeuserer
For the group PSL(2,Z) it is known that there is an isomorphism between polynomial eigenfunctions of the transfer operator for the geodesic flow and the Eichler cohomology in the t…
The dynamical zeta function and transfer operators for the Kac-Baker model
J. Hilgert, D. Mayer
The Kac-Baker model describes a 1-dim. classical lattice spin system with exponentially fast decaying two body interaction. The model was introduced by M. Kac and G. Baker to inves…
Bethe Ansatz in Quantum Mechanics. 2. Construction of Multi-Parameter Spectral Equations
Dieter Mayer, Alexander Ushveridze, Zbigniew Walczak
In this paper we propose a simple method for building exactly solvable multi-parameter spectral equations which in turn can be used for constructing completely integrable and exact…
Bethe Ansatz in Quantum Mechanics. 1. The Inverse Method of Separation of Variables
Dieter Mayer, Alexander Ushveridze
In this paper we formulate a general method for building completely integrable quantum systems. The method is based on the use of the so-called multi-parameter spectral equations,…