scientific article; zbMATH DE number 7255950

zbMath1450.81037MaRDI QIDQ5125373

V. N. Kapshai, Yu. A. Grishechkin, A. V. Pavlenko

Publication date: 7 October 2020

Full work available at URL: http://mathnet.ru/eng/pfmt668

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zbMATH Keywords

integral equationSchrödinger equationharmonic oscillatorwave functionGaussian potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Cites Work

• On the Schrodinger equation for the gaussian potential -A exp(-λr²)
• Fast eigenvalue algorithm for central potentials
• Variational principles and gauge theories of gravitation
• A simple analytical expression for bound state energies for an attractive Gaussian confining potential

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