Self-similar potentials and \(q\)-coherent states

DOI10.1016/0375-9601(94)90808-7zbMath0941.81556arXivhep-th/9309121OpenAlexW3123012638MaRDI QIDQ1964899

Takahiro Fukui

Publication date: 6 February 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9309121

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coherent states (81R30) Supersymmetry and quantum mechanics (81Q60) (2)-body potential quantum scattering theory (81U05)

Cites Work

• The Calogero model---anyonic representation, fermionic extension and supersymmetry
• Self-similar potentials and the \(q\)-oscillator algebra at roots of unity
• A q-analogue of Bargmann space and its scalar product
• The infinite-dimensional dressing dynamical system
• Exactly solvable potentials and quantum algebras
• The Factorization Method
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