One-dimensional quantum mechanics with Dunkl derivative

DOI10.1142/S0217732319501906zbMath1418.81037WikidataQ127752364 ScholiaQ127752364MaRDI QIDQ5229543

Won-Sang Chung, Hassan Hassanabadi

Publication date: 16 August 2019

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

zbMATH Keywords

quantum mechanicsDunkl derivative

Mathematics Subject Classification ID

Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (10)

A representation of the Dunkl oscillator model on curved spaces: Factorization approach ⋮ Ideal Bose gas and blackbody radiation in the Dunkl formalism ⋮ On the path integral formulation of Wigner–Dunkl quantum mechanics ⋮ The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic ⋮ Rationally-extended Dunkl oscillator on the line ⋮ Even and odd coherent states of Wigner algebra ⋮ Algebraic approach for the one-dimensional Dirac–Dunkl oscillator ⋮ Superstatistics of the Dunkl oscillator ⋮ Landau levels for the (2 + 1) Dunkl–Klein–Gordon oscillator ⋮ Dunkl–Maxwell equation and Dunkl-electrostatics in a spherical coordinate

Cites Work

• Generalised harmonic oscillator systems and their Fock space description
• HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID
• Exchange operator formalism for integrable systems of particles
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
• A Note on the Quantum Rule of the Harmonic Oscillator

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