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Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables Complete spectrum matrix elements Mathematical Physics
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2012/6/19
The integrable quantum models associated to the transfer matrices of spin 1/2 highest weight representations for the 6-vertex reflection algebra are studied in the framework of Sklyanin's quantum sepa...
An invariant formula for a star product with separation of variables
deformation quantization with separation of variables Kahler connection covariant tensors
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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
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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
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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
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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...
New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
Two-Dimensional Quantum Model Amenable Separation Variables
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2010/11/11
The supersymmetric intertwining relations with second order supercharges allow to investigate new two-dimensional model which is not amenable to standard separation of variables. The corresponding po...
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
supersymmetry separation of variables integrability solvability
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2010/10/27
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 s...
Separation of variables for symplectic characters
Separation of variables symplectic characters
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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
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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
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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.
On Separation of Variables for Integrable Equations of Soliton Type
Integrable Equations Soliton Type Separation of Variables
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2010/4/1
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra $\mathfrak{sl}(2,\Complex)\times \mathcal{P}(\lambda,\lambda^{-1})$. In part...
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
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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...
Extended Group Foliation Method and Functional Separation
of Variables to Nonlinear Wave Equations
symmetry group group foliation method nonlinear
wave equation functional separation of variables
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2007/8/15
2005Vol.44No.4pp.577-582DOI:
Extended Group Foliation Method and Functional Separation
of Variables to Nonlinear Wave Equations
QU Chang-Zheng and ZHANG Shun-Li
Center f...