CANONICAL DISCRETIZATION I: DISCRETE FACES OF (AN)HARMONIC OSCILLATOR

DOI10.1142/S0217751X01003299zbMath0984.81064arXivhep-th/0004175MaRDI QIDQ2730935

Alexander~V. Turbiner

Publication date: 12 May 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0004175

zbMATH Keywords

\(q\)-deformationdilatation-covariant discretization

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (5)

One-dimensional quasi-exactly solvable Schrödinger equations ⋮ Umbral calculus, difference equations and the discrete Schrödinger equation ⋮ On Appell sequences of polynomials of Bernoulli and Euler type ⋮ The discrete and periodic heat and harmonic oscillator equation ⋮ THE QUANTUM H₃ INTEGRABLE SYSTEM

Cites Work

• LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS
• A simple difference realization of the Heisenberg q-algebra

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