CONVERGENT SEQUENCES OF PERTURBATIVE APPROXIMATIONS FOR THE ANHARMONIC OSCILLATOR I: HARMONIC APPROACH-Reference-Cited by-同舟云学术

CONVERGENT SEQUENCES OF PERTURBATIVE APPROXIMATIONS FOR THE ANHARMONIC OSCILLATOR I: HARMONIC APPROACH

Published:1996-12-20 Issue:31 Volume:11 Page:5587-5606
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

BELLET B.¹,GARCIA P.¹,NEVEU A.²

Affiliation:

1. Laboratoire de Physique Mathématique, Université de Montpellier II-CNRS, 34095 Montpellier cédex 05, France

2. Theoretical Physics Group, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720, USA

Abstract

We present numerical evidence that a simple variational improvement of the ordinary perturbation theory of the quantum anharmonic oscillator can give a convergent sequence of approximations even in the extreme strong coupling limit, the purely anharmonic case. Some of the new techniques of this paper can be extended to renormalizable field theories.

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/S0217751X9600256X

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