Published August 13, 2004 | Version v1
Journal article

Complex variable HVPT

  • 1. Mathematics Department, University of Hull, Hull HU6 7RX (United Kingdom)
  • 2. Laboratoire d'Astrophysique de l'Observatoire de Besancon (CNRS, UPRES-A 6091), 41 bis Avenue de l'Observatoire, BP 1615, 25010 Besancon Cedex (France)

Description

Complex variable hypervirial perturbation theory is applied to the case of oscillator and Coulomb potentials perturbed by a single term potential of the form Vxn or Vrn, respectively. The trial calculations reported show that this approach can produce accurate complex energies for resonant states via a simple and speedy calculation and can also be useful in studies of PT symmetry and tunnelling resonance effects. (addendum)

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/37/7971/a4_32_010.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
37
Journal Issue
32
Journal Page Range
p. 7971-7976
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36029689
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S74: ATOMIC AND MOLECULAR PHYSICS;
Descriptors DEI
COULOMB FIELD; OSCILLATORS; P INVARIANCE; PERTURBATION THEORY; POTENTIALS; RESONANCE; SYMMETRY; T INVARIANCE; TUNNEL EFFECT
Descriptors DEC
ELECTRIC FIELDS; ELECTRONIC EQUIPMENT; EQUIPMENT; INVARIANCE PRINCIPLES