Hermite polynomials and Fibonacci oscillators

DOI10.1063/1.5040016zbMath1406.81015arXiv1805.03229OpenAlexW3104151477WikidataQ128639816 ScholiaQ128639816MaRDI QIDQ4621245

André A. Marinho, Francisco A. Brito

Publication date: 11 February 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03229

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quantum state estimation, approximate cloning (81P50)

Related Items (2)

The generalized Fibonacci oscillator as an open quantum system ⋮ Multi-dimensional q-deformed bosonic Newton oscillators and the related q-calculus, q-coherent states, and Hermite q-polynomials

Cites Work

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• On \((p,q,\alpha,\beta, l\))-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra
• Thermodynamic characteristics of the \((p,q)\)-deformed ideal Bose gas
• Statistical mechanics of \(qp\)-bosons in \(D\) dimensions
• Finite \(q\)-differences and the discrete renormalization group
• q-Schrödinger Equations for V = u² + 1/u² and Morse Potentials in Terms of the q-Canonical Transformation
• Characterization of $({\mathcal R},p,q)$-deformed Rogers–Szegö polynomials: associated quantum algebras, deformed Hermite polynomials and relevant properties
• Thermodynamic geometry of deformed bosons and fermions
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• A q-OSCILLATOR WITH "ACCIDENTAL" DEGENERACY OF ENERGY LEVELS
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Comment on the q-analogues of the harmonic oscillator
• A (p, q)-oscillator realization of two-parameter quantum algebras
• The many-body problem for q-oscillators
• Energy spectrum, potential and inertia functions of a generalizedf-oscillator
• Aq-deformed Schrödinger equation
• Quantum calculus

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