Generalized Holstein–Primakoff realizations and quantum group-theoretic coherent states

DOI10.1063/1.529535zbMath0788.17024OpenAlexW2003707221WikidataQ61153702 ScholiaQ61153702MaRDI QIDQ4031026

Zhe Chang

Publication date: 1 April 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529535

zbMATH Keywords

coherent statesquantum Weyl-Heisenberg groupgeneralized Holstein-Primakoff realizationsmultiboson operators

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

Even and odd \(q\)-coherent states in a finite-dimensional basis and their squeezing properties ⋮ Multiboson expansions for the \(q\)-oscillator and \(\text{su}(1,1)_q\)

Cites Work

• On a certain value of the Kauffman polynomial
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• q-deformed oscillator algebra as a quantum group
• Quantum algebra deforming maps, Clebsch–Gordan coefficients, coproducts, R and U matrices
• The realizations of quantum groups of A n−1 and C n types in q-deformed oscillator systems at classical and quantum levels
• Algebraic structure of translation-invariant spin-1/2xxzandq-Potts quantum chains
• Squeezing and quantum groups
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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