Product approximations for a class of quantum anharmonic oscillators

DOI10.1007/s00033-013-0346-9zbMath1298.81081OpenAlexW1989412054MaRDI QIDQ743547

Pierre-A. Vuillermot, Wesley P. Petersen

Publication date: 25 September 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0346-9

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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Uses Software

• Cephes
• MATLAB expm

Cites Work

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• Product formulas and numerical algorithms
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• Matlab Guide
• Product formulas, nonlinear semigroups, and addition of unbounded operators
• The Scaling and Squaring Method for the Matrix Exponential Revisited
• Geometric Numerical Integration
• Algorithms Involving Arithmetic and Geometric Means

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