Perturbative solutions of quantum mechanical problems by symbolic computation

DOI10.1016/0021-9991(90)90258-3zbMath0712.65111OpenAlexW1975078471MaRDI QIDQ749182

R. A. Moore, T. C. Scott, Greg J. Fee, Edward R. Vrscay, Michael B. Monagan

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90258-3

zbMATH Keywords

perturbation theoryperturbation seriesSymbolic computationdecoupling techniqueone particle Dirac equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Applications to the sciences (65Z05)

Related Items (4)

Approximate analytic solutions to coupled nonlinear Dirac equations ⋮ A perturbation-based model for rectifier circuits ⋮ Non-relativistic and relativistic scattering by short-range potentials ⋮ A preliminary study of the Burgers equation with symbolic computation

Uses Software

• Maple

Cites Work

• On the perturbation theory of small disturbances
• Dirac's Equation and the Spin-Spin Interactions of Two Electrons
• The Factorization Method
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