Open AccessA new application of the quantum mechanical hypervirial theorems technique
Author(s) -
M. E. Grypeos,
Theodore E. 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.