Introduction to Quantum Symmetries

Some Quantum Symmetries and Their Breaking II

International Journal of Theoretical Physics ◽

10.1007/s10773-012-1423-0 ◽

2012 ◽

Vol 52 (4) ◽

pp. 1088-1121 ◽

Cited By ~ 1

Author(s):

S. A. Selesnick

Keyword(s):

Quantum Symmetries

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XXIV International Conference on Integrable Systems and Quantum symmetries (ISQS-24)

Journal of Physics Conference Series ◽

10.1088/1742-6596/804/1/011001 ◽

2017 ◽

Vol 804 ◽

pp. 011001

Author(s):

Čestmír Burdík ◽

Ondřej Navrátil ◽

Severin Posta

Keyword(s):

Integrable Systems ◽

International Conference ◽

Quantum Symmetries

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Classical versus quantum symmetries for Toda theories with a nontrivial boundary perturbation

Nuclear Physics B ◽

10.1016/0550-3213(96)00163-0 ◽

1996 ◽

Vol 470 (3) ◽

pp. 396-418 ◽

Cited By ~ 4

Author(s):

S. Penati ◽

A. Refolli ◽

D. Zanon

Keyword(s):

Boundary Perturbation ◽

Quantum Symmetries

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The BRST operator of quantum symmetries: The quantum analogs of Donaldson invariants

Journal of Mathematical Physics ◽

10.1063/1.532137 ◽

1997 ◽

Vol 38 (9) ◽

pp. 4462-4473 ◽

Cited By ~ 2

Author(s):

A. B. Hammou ◽

M. Lagraa

Keyword(s):

Brst Operator ◽

Quantum Symmetries ◽

Donaldson Invariants

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

Symmetry ◽

10.3390/sym11080975 ◽

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.

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