Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schrödinger equation

Details Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schrödinger equation Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schrödinger equation

2001-05-11

arxiv.org/abs/quant-ph/0105047v1

J. Math. Phys. 42 (2001) 3372-3389

Physics

Quantum Physics

Accepted for publication in J. Math. Phys., 18 pages

Scientific paper

10.1063/1.1385374

A variationally improved Sturmian approximation for solving time-independent
Schr\"odinger equation is developed. This approximation is used to obtain the
energy levels of a quartic anharmonic oscillator, a quartic potential, and a
Gaussian potential. The results are compared with those of the perturbation
theory, the WKB approximation, and the accurate numerical values.

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