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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
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...
The Fourier U(2) Group and Separation of Discrete Variables
discrete coordinates Fourier U(2) group Cartesian pixellation polar pixellation
2011/9/9
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4;<), whose maximal compact subgroup is the Fourier group
U(2)F; this includes isotropic and anis...
Approximate action-angle variables for the figure-eight and other periodic three-body orbits
the figure-eight other periodic three-body orbits Classical Physics
2011/7/26
Approximate action-angle variables for the figure-eight and other periodic three-body orbits.
Approximate action-angle variables for the figure-eight and other periodic three-body orbits
action-angle variables three-body orbit
2011/9/14
We use the maximally permutation symmetric set of three-body coordinates, that consist of the “hyper-radius” R = p2 + 2, the “rescaled area of the triangle”
p3
2R2 | × |) and the (braiding)
hyp...
The Fourier U(2) Group and Separation of Discrete Variables
Optics Fourier U(2) Group Separation of Discrete Variables
2011/7/25
Abstract: The linear canonical transformations of geometric optics on two-dimensional screens form the group $Sp(4,R)$, whose maximal compact subgroup is the Fourier group $U(2)_F$; this includes isot...
On Separation of Variables for Integrable Equations of Soliton Type
Integrable Equations Soliton Type Separation of Variables
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
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...