Accurate eigenvalues and eigenfunctions of simple quantum-mechanical systems by means of the Riccati-Hill method

DOI10.1016/0375-9601(94)91291-2zbMath0941.81532OpenAlexW2063888900MaRDI QIDQ1965064

Francisco M. Fernández

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)91291-2

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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Cites Work

• On the Hill determinant method
• Failure of the Hill determinant method for the sextic anharmonic oscillator