SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD-Reference-Cited by-同舟云学术

SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD

Published:2009-10-20 Issue:25n26 Volume:24 Page:4695-4726
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

SILVESTRE-BRAC BERNARD¹,SEMAY CLAUDE²,BUISSERET FABIEN²

Affiliation:

1. LPSC Université Joseph Fourier, Grenoble 1, CNRS/IN2P3, Institut Polytechnique de Grenoble, Avenue des Martyrs 53, F-38026 Grenoble-Cedex, France

2. Groupe de Physique Nucléaire Théorique, Université de Mons, Académie Universitaire Wallonie-Bruxelles, Place du Parc 20, B-7000 Mons, Belgium

Abstract

Approximate analytical closed energy formulas for semirelativistic Hamiltonians of the form [Formula: see text] 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X09045960

Reference53 articles.

1. Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation

2. Extensions of the auxiliary field method to solve Schrödinger equations

3. A Lagrangian formulation of the classical and quantum dynamics of spinning particles

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Accuracy tests of the envelope theory;Results in Physics;2024-03

2. Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis;Results in Physics;2020-06

3. An upper bound for asymmetrical spinless Salpeter equations;Physics Letters A;2012-07

4. Bounds for Hamiltonians with arbitrary kinetic parts;Results in Physics;2012

5. The Quantum N-Body Problem and the Auxiliary Field Method: New Developments;Few-Body Systems;2011-11-23