q-boson realization of quadratic algebra A1and its representations

1992 ◽  
Vol 25 (22) ◽  
pp. L1233-L1238 ◽  
Author(s):  
Hong-Chen Fu ◽  
Mo-Lin Ge
Keyword(s):  
Quadratic Algebra ◽  
Boson Realization

Boson realization of nonlinear SO(3) algebra

1999 ◽  
Vol 263 (1-2) ◽  
pp. 78-82 ◽  
Author(s):  
Dong Ruan ◽  
Wei Ruan
Keyword(s):  
Boson Realization

Boson-realization model applied to highly excited vibrations ofH2O

1997 ◽  
Vol 55 (5) ◽  
pp. 3401-3405 ◽  
Author(s):  
Xi-Wen Hou ◽  
Mi Xie ◽  
Zhong-Qi Ma
Keyword(s):  
Boson Realization

scholarly journals On the q-Boson Realization of the suq(2) and suq(1,1) Algebras

1999 ◽  
Vol 101 (1) ◽  
pp. 139-145 ◽  
Author(s):  
João da Providência ◽  
Masatoshi Yamamura ◽  
Atsushi Kuriyama
Keyword(s):  
Boson Realization

On a Generalized Boson Realization of Fermions

1994 ◽  
Vol 25 (5) ◽  
pp. 319-322 ◽  
Author(s):  
R Kuchta ◽  
K Takada
Keyword(s):  
Boson Realization

Solution of the Dirac equation with some superintegrable potentials by the quadratic algebra approach

2014 ◽  
Vol 29 (06) ◽  
pp. 1450028 ◽  
Author(s):  
S. Aghaei ◽  
A. Chenaghlou
Keyword(s):  
Dirac Equation ◽  
Quadratic Algebra ◽  
Two Dimensional ◽  
Oscillator Algebra ◽  
Quadratic Algebras ◽  
Energy Eigenvalues ◽  
Vector Potentials ◽  
Algebra Approach ◽  
Deformed Oscillator ◽  
Deformed Oscillator Algebra

The Dirac equation with scalar and vector potentials of equal magnitude is considered. For the two-dimensional harmonic oscillator superintegrable potential, the superintegrable potentials of E8 (case (3b)), S4 and S2, the Schrödinger-like equations are studied. The quadratic algebras of these quasi-Hamiltonians are derived. By using the realization of the quadratic algebras in a deformed oscillator algebra, the structure function and the energy eigenvalues are obtained.

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