Quantum Symmetries

2019 ◽  
pp. 253-297
Author(s):  
Valter Moretti
Keyword(s):  
Quantum Symmetries

scholarly journals Quantum Current Algebra Symmetries and Integrable Many-Particle Schrödinger Type Quantum Hamiltonian Operators

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 975
Author(s):  
Dominik Prorok ◽  
Anatolij Prykarpatski
Keyword(s):  
Representation Theory ◽  
Current Algebra ◽  
Fock Space ◽  
Integrable Quantum ◽  
Quantum Hamiltonian ◽  
Quantum Symmetries ◽  
Sutherland Model ◽  
Quantum Current ◽  
Hamiltonian Operators

Based on the G. Goldin’s quantum current algebra symmetry representation theory, have succeeded in explaining a hidden relationship between the quantum many-particle Hamiltonian operators, defined in the Fock space, their factorized structure and integrability. Interesting for applications quantum oscillatory Hamiltonian operators are considered, the quantum symmetries of the integrable quantum Calogero-Sutherland model are analyzed in detail.

On the quantum symmetries associated with the two parameter free fermion model

1992 ◽  
Vol 25 (7) ◽  
pp. L341-L346 ◽  
Author(s):  
M Bednar ◽  
C Burdik ◽  
M Couture ◽  
L Hlavaty
Keyword(s):  
Free Fermion ◽  
Fermion Model ◽  
Quantum Symmetries ◽  
Free Fermion Model ◽  
Two Parameter
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