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Approximate Determination of the ground-state Schroedinger Eigenfunction by Means of the Hypervirial Theorems Technique

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Published: Dec 5, 2019
DOI: https://doi.org/10.12681/hnps.2397
M. E. Grypeos
Department of Theoretical Physics, University of Thessaloniki
T. E. Liolios
Department of Theoretical Physics, University of Thessaloniki
Abstract

The method of the Hypervirial Theorems is used to obtain analytically the ground-state· Schroedinger eigenfunction for a wide class of potentials in non-relativistic Quantum Mechanics.The whole scheme, despite its simplicity, yields in many cases a good approximation.

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