The statistical properties of q-deformed Morse potential for some diatomic molecules via Euler-Maclaurin method in one dimension

DOI10.1007/s10910-018-0879-4zbMath1393.81036arXiv1711.04358OpenAlexW2791474308MaRDI QIDQ1649163

Abdelmalek Boumali

Publication date: 5 July 2018

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

Full work available at URL: https://arxiv.org/abs/1711.04358

zbMATH Keywords

partition functionEuler-Maclaurin methodMorse potential

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Modal analysis in linear vibration theory (70J10) Critical phenomena in equilibrium statistical mechanics (82B27) Molecular physics (81V55) Chemistry (general) in thermodynamics and heat transfer (80A50)

Related Items (2)

Superstatistics properties of \(q\)-deformed Morse potential in one dimension ⋮ Analytical solutions of fractional Schrödinger equation and thermal properties of Morse potential for some diatomic molecules

Cites Work

• Classical and quantum \(q\)-deformed physical systems
• Jaynes-Cummings model and the deformed-oscillator algebra
• The controllability of the pure states for the Morse potential with a dynamical group SU(1,1)
• q-ANALOGUE OF BOSON COMMUTATOR AND THE QUANTUM GROUPS SU_q(2) AND SU_q(1, 1)
• q-deformed Morse oscillator
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• AN ALGEBRAIC APPROACH TO THE q-DEFORMED MORSE POTENTIAL
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• Comment on the q-analogues of the harmonic oscillator
• The q-deformed Moszkowski model: RPA modes
• Thermostatistic properties of aq-deformed ideal Fermi gas with a general energy spectrum

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