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Comparative study of quantum anharmonic potentials. (English) Zbl 1209.81117
Summary: We perform a study of various anharmonic potentials using a recently developed method. We calculate both the wave functions and the energy eigenvalues for the ground and first excited states of the quartic, sextic and octic potentials with high precision, comparing the results with other techniques available in the literature.

MSC:
81Q15 Perturbation theories for operators and differential equations in quantum theory
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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