The rotating harmonic oscillator revisited

DOI10.1007/S10910-021-01320-9zbMath1487.81091arXiv2007.11695OpenAlexW4210296038MaRDI QIDQ2118795

Francisco M. Fernández

Publication date: 23 March 2022

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

Full work available at URL: https://arxiv.org/abs/2007.11695

zbMATH Keywords

truncationexact solutionsFrobenius methodthree-term recurrence relationrotating oscillator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Motion of the gyroscope (70E05) Numerical aspects of recurrence relations (65Q30)

Related Items (1)

Comment on ``Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance

Cites Work

• On the theory of vibration-rotation interaction
• The rotating harmonic oscillator eigenvalue problem. I. Continued fractions and analytic continuation
• The rotating harmonic oscillator eigenvalue problem. II. Analytic perturbation theory
• The rotating oscillator
• Continued fraction theory of the rotating harmonic oscillator
• Quantum states of a sextic potential: hidden symmetry and quantum monodromy
• On the Schrodinger equations of rotating harmonic, three-dimensional and doubly anharmonic oscillators and a class of confinement potentials in connection with the biconfluent Heun differential equation
• Forces in Molecules
• A Note on the Theory of Vibration-Rotation Interaction

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