The Extended Dunkl Oscillator and the Generalized Hermite Polynomials on the Radial Lines
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1007/s44198-024-00224-x
Abstract: Model of the extended Dunkl oscillator based on Milovanović generalized Hermite polynomials on radial rays is discussed. Simple explicit realization of creation and annihilation operators in terms of difference-differential operators, coherent states are investigated. read more here.
Keywords: dunkl oscillator; extended dunkl; generalized hermite; hermite polynomials ... See more keywords
Rationally-extended Dunkl oscillator on the line
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/acd736
Abstract: It is shown that the extensions of exactly-solvable quantum mechanical problems connected with the replacement of ordinary derivatives by Dunkl ones and with that of classical orthogonal polynomials by exceptional orthogonal ones can be easily… read more here.
Keywords: oscillator; oscillator line; extended dunkl; dunkl oscillator ... See more keywords
Supersymmetric Quesne-Dunkl Quantum Mechanics on Radial Lines
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DOI: 10.3390/sym16111508
Abstract: Quantum deformations offer valuable perspectives into quantum mechanics, particularly by advancing our understanding of symmetry and algebraic structures.The Dunkl oscillator, which integrates Dunkl operators into the harmonic oscillator framework, advances the system’s algebraic properties and… read more here.
Keywords: quantum mechanics; radial lines; dunkl oscillator; mechanics ... See more keywords