2019•HNPS Advances in Nuclear PhysicsOpen access

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

M. E. Grypeos, Th. E. Liolios

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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Key concepts: Eigenfunction, Schrödinger's cat, Ground state, Schrödinger equation, Simplicity, Scheme (mathematics), Mathematics, Class (philosophy)