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An invariant formula for a star product with separation of variables
deformation quantization with separation of variables Kahler connection covariant tensors
2011/9/22
Abstract: We give an invariant formula for a star product with separation of variables on a pseudo-Kahler manifold.
Separation of variables in one partial integrable case of Goryachev
Separation of variables partial integrable case of Goryachev
2010/12/28
We show that the equations of motion in one partial integrable case of Goryachev in the rigid body dynamics can be separated by the appropriate change of variables,the new variables x, y being hyperel...
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2011/3/2
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2010/12/28
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
Separation of variables for symplectic characters
Separation of variables symplectic characters
2010/12/6
We perform separation of variables for the symplectic Weyl character using Sklyanin’s scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitlyconstruct the separa...
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
supersymmetry separation of variables integrability solvability
2010/12/13
Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical sec...
Star products with separation of variables admitting a smooth extension
deformation quantization with separation of variables
2011/2/28
Given a complex manifold M with an open dense subset endowed with a pseudo-K¨ahler form ! which cannot be smoothly extended to a larger open subset.
Separation of variables and explicit theta-function solution of the classical Steklov--Lyapunov systems: A geometric and algebraic geometric background
Separation of variables explicit theta-function solution
2010/4/6
The paper revises the explicit integration of the classical Steklov--Lyapunov systems via separation of variables, which was first made by F. K\"otter in 1900, but was not well understood until recent...