Semirelativistic Hamiltonians and the auxiliary field method

[en] Approximate analytical closed energy formulas for semirelativistic Hamiltonians of the form are obtained within the framework of the auxiliary field method. This method, which is equivalent to the envelope theory, has been recently proposed as a powerful tool to get approximate analytical solutions of the Schrödinger equation. Various shapes for the potential V(r) are investigated: power-law, funnel, square root, and Yukawa. A comparison with the exact results is discussed in detail.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Silvestre-Brac, B.

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

Buisseret, Fabien ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire

Language :

English

Title :

Semirelativistic Hamiltonians and the auxiliary field method

Publication date :

20 October 2009

Journal title :

International Journal of Modern Physics A

ISSN :

0217-751X

Publisher :

World Scientific Publishing Co., Singapore

Volume :

Issue :

Issue 25-26

Pages :

4695-4726

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 10 June 2010

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