The rotating harmonic oscillator eigenvalue problem. I. Continued fractions and analytic continuation

DOI10.1063/1.525950zbMath0528.34026OpenAlexW1963780581MaRDI QIDQ3310179

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Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525950

zbMATH Keywords

eigenvaluesSchrödinger equationcontinued fraction expressionrotating harmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Continued fractions; complex-analytic aspects (30B70) Ordinary differential operators (34L99) Analytic continuation of functions of one complex variable (30B40)

Related Items

Solution formulas for linear difference equations with applications to continued fractions ⋮ Computation of limit periodic continued fractions. A survey ⋮ Singular anharmonicities and the analytic continued fractions. II. The potentials V(r)=a r2+b r−4+c r−6 ⋮ Associated Wilson polynomials ⋮ Two families of orthogonal polynomials related to Jacobi polynomials ⋮ On the power-series construction of bound states. I. The energies as zeros of the infinite Hill determinants ⋮ The rotating harmonic oscillator eigenvalue problem. II. Analytic perturbation theory ⋮ On the power-series construction of Schrödinger bound states. II. The effective Hill determinants ⋮ Asymptotics of the eigenvalues of the rotating harmonic oscillator ⋮ The rotating harmonic oscillator revisited

Cites Work

• On the theory of vibration-rotation interaction
• The rotating harmonic oscillator eigenvalue problem. II. Analytic perturbation theory
• Continued fraction theory of the rotating harmonic oscillator
• The Energy Levels of a Rotating Vibrator
• Application of a New Mathematical Method to Vibration-Rotation Interaction
• A Note on the Theory of Vibration-Rotation Interaction