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Chung, Won Sang

Holstein-Primakoff realization of Higgs algebra and its \(q\)-extension. (English) Zbl 1286.81105

Mod. Phys. Lett. A 29, No. 10, Article ID 1450050, 12 p. (2014).
Summary: In this paper, Holstein-Primakoff realization of Higgs algebra is obtained by using the linear (or quadratic) deformation of Heisenberg algebra and \(q\)-deformed Higgs algebra is proposed. Some applications such as Kepler problem in a two-dimensional curved space and SUSY quantum mechanics are also discussed.

Cited in 1 Document

MSC:

81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81R15 Operator algebra methods applied to problems in quantum theory
08A40 Operations and polynomials in algebraic structures, primal algebras

Keywords:

Holstein-Primakoff realization; Higgs algebra; \(q\)-extension Higgs algebra
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References:

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