

Seminar on Complex Analysis (Gonchar Seminar)
October 13, 2014 19:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)






On a quantization of Jacobi's thetafunctions
Yu. V. Brezhnev^{} 
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Abstract:
Jacobi's thetafunctions and their thetaconstants admit the redefinition through certain differential equations (dynamical systems); not through the canonical thetaseries. We study these systems in the framework of Hamiltonian mechanics. Hamiltonians and Poisson structures have been found. All this prompts to formulate a quantization problem for the equations and gives rise some important problems. For a certain nontrivial case the problem is completely solvable up to a representation of operators and Hamiltonian spectrum.

