An algebraic formulation of quantum mechanics in fractional dimensions

DOI10.1016/S0034-4877(06)80013-3zbMath1110.81110OpenAlexW2074781741MaRDI QIDQ871988

M. A. Lohe

Publication date: 27 March 2007

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(06)80013-3

zbMATH Keywords

quantum groupsparabosons

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (4)

Harmonic oscillators coupled by springs: Discrete solutions as a Wigner quantum system ⋮ Non-Hermitian inverted harmonic oscillator-type Hamiltonians generated from supersymmetry with reflections ⋮ Vector calculus in non-integer dimensional space and its applications to fractal media ⋮ Harmonic oscillator chains as Wigner quantum systems: Periodic and fixed wall boundary conditions in gl(1|n) solutions

Cites Work

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• Factorization: little or great algorithm?
• Exact Quantization Conditions. II
• Irreducible Representations of Generalized Oscillator Operators
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
• The Factorization Method
• A Generalized Method of Field Quantization

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