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Mat. Zametki, 2005 Volume 77, Issue 1, Pages 42–52 (Mi mzm2467)
Dynamical equations for the quantum product on a symplectic space in affine coordinates

O. N. Grigor'ev, M. V. Karasev

Moscow State Institute of Electronics and Mathematics

Abstract: We derive a system of dynamical equations for an associative noncommutative product of functions on a symplectic space. This system is explicitly solved in semiclassical approximation.

UDC: 517.958+530.145+512

Received: 17.10.2003
Revised: 11.03.2004

DOI: 10.4213/mzm2467


 English version: Mathematical Notes, 2005, 77:1, 39–47

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© Steklov Math. Inst. of RAS, 2025