A regularized semiclassical approximation for quantum mechanics

zbMath1029.81033MaRDI QIDQ1395256

S. M. Samarina, V. V. Samarin

Publication date: 1 July 2003

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

regularizationsolutionsemiclassical approximationSchrödinger equationturning pointsturning pointwave functionspotenial energy

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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