Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Guo-Xing Ju"'
We study the generalized harmonic oscillator which has both the position-dependent mass and the potential depending on the form of mass function in a more general framework. The explicit expressions of the eigenvalue and eigenfunction for such system
Externí odkaz:
http://arxiv.org/abs/0707.3259
Autor:
Guo-Xing Ju, Zhongzhou Ren
Publikováno v:
International Journal of Modern Physics A. 18:5757-5765
The eigenvalues and eigenfunctions of the Dirac oscillator in 2+1 dimension are given based on the analysis of asymptotic behaviour of the model. The hidden supersymmetry for the planar system is also constructed, which has the same form as the model
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5cc9fc40825a8f701df5fa1932f1fdc
https://doi.org/10.1142/s0217751x03016033
https://doi.org/10.1142/s0217751x03016033
Publikováno v:
International Journal of Modern Physics A. 13:4213-4226
We analyze the symmetries of the reflection equation for open XYZ model and find their solutions K± case by case. In the general open boundary conditions, the Lax pair for open one-dimensional XYZ spin-chain is given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f19528e8c9983b6d538e51e75e94c528
https://doi.org/10.1142/s0217751x98002006
https://doi.org/10.1142/s0217751x98002006
Publikováno v:
Journal of Physics A: Mathematical and General. 30:6155-6161
On the basis of graded RTT formalism,the defining relation of the super-Yangian Y(gl(1|1)) is derived and its oscillator realization is constructed.
7 pages, latex, no figures, to appaer in the International Workshop on Frontiers in Quantum Fiel
7 pages, latex, no figures, to appaer in the International Workshop on Frontiers in Quantum Fiel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e1e91f1051860ae684deff5b829a9a6
https://doi.org/10.1088/0305-4470/30/17/022
https://doi.org/10.1088/0305-4470/30/17/022
Publikováno v:
Communications in Theoretical Physics. 22:379-382
The Dyson realization of the quantum group SU(1,1)q is constructed and the transformation matrix, which turns the Dyson realization into the Holstein–Primakoff realization, is given. The coherent state for the Dyson realization is discussed and is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c9c9023e31a0f830393e9d8b3baf188
https://doi.org/10.1088/0253-6102/22/3/379
https://doi.org/10.1088/0253-6102/22/3/379
The properties of the s-wave for a quasi-free particle with position-dependent mass(PDM) have been discussed in details. Differed from the system with constant mass in which the localization of the s-wave for the free quantum particle around the orig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7cda09a5a55352f8e38dabecff89e4f
The symmetries, especially those related to the $R$-transformation, of the reflection equation(RE) for two-component systems are analyzed. The classification of solutions to the RE for eight-, six- and seven-vertex type $R$-matrices is given. All sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50e174438480a967c25ee0694d48ce9e
We extend the study on the algebraic structure of the $su(n)$ color Calogero-Sutherland models to the case of $gl(n|m)$ color CS model and show that the generators of the super-Yangian $Y(gl(n|m))$ can be obtained from two $gl(n|m)$ loop algebras. Al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0eef73286fb20e18862ec92e6374ea0
http://arxiv.org/abs/q-alg/9710005
http://arxiv.org/abs/q-alg/9710005
We extend Yangian double to super (or graded) case and give its Drinfel'd generators realization by Gauss decomposition.
Comment: 6 pages, Latex, no figures
Comment: 6 pages, Latex, no figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5332c5b5168923af5982e8b0ec010280
Autor:
Guo-xing Ju, Chi Xiong
The Lax pair for the one-dimensional open XYZ spin chain is constructed, this shows that the system is completely integrable .
Comment: 6 pages,latex,no figures
Comment: 6 pages,latex,no figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56b149cd252d877e51c69e7be4a4583f