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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...
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...
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...
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...