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The "boson polynomials" of Gel'fand basis and the analytic expression of Wigner's coefficients with multiplicity for the canonical basis of unitary groups
Gel'fand basis Wigner's coefficients canonical basis Representation Theory
2011/7/26
Abstract: In this paper we present the generating function method for the derivation of bosons polynomials of Gel'fand basis and Wigner coefficients for the canonical basis of SU(n). We find a new ana...
Polynomial algebras and exact solutions of general quantum non-linear optical models I: Two-mode boson systems
Polynomial algebras exact solutions quantum non-linear optical
2010/4/2
We introduce higher order polynomial deformations of $A_1$ Lie algebra. We construct their unitary representations and the corresponding single-variable differential operator realizations. We then use...
李超代数B(0,1)的非齐次微分实现,Boson-Fermion实现及其表示
非齐次微分 李超代数
2009/7/10
本文研究了李超代数B(0,1)在非齐次多项式空间上的微分实现(称为非齐次微分实现),和对应的非齐次Boson-Fermion实现.利用非齐次Boson-Fermion实现,在 Heisenberg-Weyl超代数的通用包络代数,其子空间和商空间上研究了B(0,1)的一类新的不可分解表示和不可约表示.B(0,1)的所有有限维不可约表示则作为特殊情况全部给出.
得到了有边界的SU(2)Thirring模型的反射矩阵Rab(θ),以及相应的边界算子的Boson表达式.
Indecomposable Representations of the Square-Root Lie Algebras
of Vector Type and Their Boson Realizations
nonlinear Lie algebra indecomposable representation
boson realization angular momentum coherent state
2007/8/15
2001Vol.35No.5pp.513-518DOI:
Indecomposable Representations of the Square-Root Lie Algebras
of Vector Type and Their Boson Realizations
RUAN Dong,1,2,3 YUAN Jing,1 JIA Yu-Feng1 an...
Two Kinds of Two-Boson Realizations of Generally
Deformed Algebras with Three Generators
deformed algebra boson realization unitarization equation
2007/8/15
2007Vol.47No.3pp.529-534DOI:
Two Kinds of Two-Boson Realizations of Generally
Deformed Algebras with Three Generators
RUAN Dong,1,2,3 LI Yan-Song,1,2,3 and SUN Hong-Zhou2,4
...
The Interacting Boson Model for Anomalous Rotational Bands
g- boson-like excitation anomalous rotational
bands M1 transtion
176Hf
2007/8/15
2002Vol.38No.5pp.591-596DOI:
The Interacting Boson Model for Anomalous Rotational Bands
QIAN Cheng-De, LIU Dang-Bo, and HE Wei
Institute of Theoretical Physics, Departme...
Exact Solution for Jaynes-Cummings Model with Bosonic FieldNonlinearity and Strong Boson-Fermion Coupling
nonlinear Jaynes-Cummings model invariant method exact solution
2007/8/15
2006Vol.45No.1pp.143-146DOI:
Exact Solution for Jaynes-Cummings Model with Bosonic FieldNonlinearity and Strong Boson-Fermion Coupling
YANG Jin, YU Wan-Lun, and XIANG An-Ping
...
The Binding Energy, Spin-Excitation Gap, and Charged Gap in the
Boson-Fermion Model
boson-fermion model binding energy excitation gaps
2007/8/15
2003Vol.40No.2pp.215-220DOI:
The Binding Energy, Spin-Excitation Gap, and Charged Gap in the
Boson-Fermion Model
YANG Kai-Hua,1,2 TIAN Guang-Shan,2 and HAN Ru-Qi1
1 Inst...
Single Boson Realizations of the Higgs Algebra
Higgs algebra nonlinear angular momentum algebra
boson realization
2007/8/15
2003Vol.40No.1pp.73-76DOI:
Single Boson Realizations of the Higgs Algebra
RUAN Dong,1,2,3
WU Chu,1 and SUN Hong-Zhou1,3,4
1 Department of Physics, Tsinghua University,...