Generalized Heisenberg algebra and algebraic method: the example of an infinite square-well potential

DOI10.1016/J.PHYSLETA.2008.01.086zbMath1220.81106OpenAlexW1995912037MaRDI QIDQ637756

Ligia M. C. S. Rodrigues, M. A. Rego-Monteiro, Yassine Hassouni, Evaldo M. F. Curado

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.01.086

zbMATH Keywords

Heisenberg algebrageneralized Heisenberg algebra (GHA)square-well potential

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Cites Work

• Factorization method in quantum mechanics
• Multi-parametric deformed Heisenberg algebras: a route to complexity
• Simple applications ofq-bosons
• Temporally stable coherent states for infinite well and Pöschl–Teller potentials
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• A realization of the dynamical group for the square-well potential and its coherent states
• Generalized Heisenberg algebras and Fibonacci series

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