Invariant identities in the Heisenberg algebra

DOI10.1007/BF01077481zbMath0879.46046arXivhep-th/9410128MaRDI QIDQ1921885

Alexander~V. Turbiner

Publication date: 19 January 1998

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9410128

zbMATH Keywords

Banach algebra\(q\)-deformed Heisenberg algebra

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (4)

Two-dimensional superintegrable systems from operator algebras in one dimension ⋮ Toeplitz operators, deformations, and asymptotics ⋮ One-dimensional quasi-exactly solvable Schrödinger equations ⋮ Laguerre-type derivatives: Dobiński relations and combinatorial identities

Cites Work

• Unnamed Item
• DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES
• On the q oscillator and the quantum algebra su_q(1,1)
• Polynomial relations in the Heisenberg algebra
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?

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