A new application of the quantum mechanical hypervirial theorems technique | Zendy

M. E. Grypeos | Zendy; T. Liolios | Zendy

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A new application of the quantum mechanical hypervirial theorems technique

Author(s) -

M. E. Grypeos,

T. Liolios

Publication year - 2020

Publication title -

hnps advances in nuclear physics

Language(s) - English

Resource type - Journals

eISSN - 2654-0088

pISSN - 2654-007X

DOI - 10.12681/hnps.2781

Subject(s) - eigenfunction , quantum , ground state , gaussian , class (philosophy) , state (computer science) , basis (linear algebra) , mathematics , energy (signal processing) , statistical physics , quantum mechanics , physics , computer science , algorithm , geometry , eigenvalues and eigenvectors , artificial intelligence

A new approach is proposed on the basis of the quantum mechanical hypervirial theorems technique for the approximate analytic (or semi-analytic) determination of bound state energy eigenfunctions for quite a wide class of central potentials. The accuracy of the method is tested for the Gaussian potential and is best for the ground state.

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