Improvement of the envelope theory with the dominantly orbital state method

[en] The envelope theory, also known as the auxiliary field method, is a simple technique to compute approximate solutions of Hamiltonians for N identical particles in D dimensions. The quality of the approximate eigenvalues can be improved by adding a free parameter in the characteristic global quantum number of the solutions. A method is proposed to determine the value of this parameter by comparing the eigenvalues computed with the envelope theory to the corresponding ones computed with a N-body generalization of the dominantly orbital state method. The accuracy of the procedure is tested with several systems.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Semay, Claude ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire

Language :

English

Title :

Improvement of the envelope theory with the dominantly orbital state method

Publication date :

30 July 2015

Journal title :

European Physical Journal - Plus

ISSN :

2190-5444

Volume :

130

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S824 - Physique nucléaire et subnucléaire

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Available on ORBi UMONS :

since 27 July 2015

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