Published October 2007
| Version v1
Journal article
Relativistic tunneling through two successive barriers
Creators
- 1. Grupo de Fisica Teorica e Modelagem Matematica, Departamento de Matematica e Estatistica, Universidade Estadual de Ponta Grossa, Avenida General Carlos Cavalcanti, 4748, CEP 84032-900, Ponta Grossa, PR (Brazil)
- 2. Department of Physics and Astronomy, Macalester College, 1600 Grand Avenue, Saint Paul, Minnesota 55105 (United States)
Description
We study the relativistic quantum mechanical problem of a Dirac particle tunneling through two successive electrostatic barriers. Our aim is to study the emergence of the so-called generalized Hartman effect, an effect observed in the context of nonrelativistic tunneling as well as in its counterparts and which is often associated with the possibility of superluminal velocities in the tunneling process. We discuss the behavior of both the phase (or group) tunneling time and the dwell time, and show that in the limit of opaque barriers the relativistic theory also allows the emergence of the generalized Hartman effect. We compare our results with the nonrelativistic ones and discuss their interpretation
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.76.042111;
- arXiv
- arXiv:0708.3507v2;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 76
- Journal Issue
- 4
- Journal Page Range
- p. 042111-042111.6
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39042452
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COMPARATIVE EVALUATIONS; DIRAC OPERATORS; PARTICLES; QUANTUM MECHANICS; RELATIVISTIC RANGE; TUNNEL EFFECT; VELOCITY
- Descriptors DEC
- ENERGY RANGE; EVALUATION; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS
Optional Information
- Notes
- (c) 2007 The American Physical Society