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Inversion of reflection for the one-dimensional Dirac equation

Technical Report:

Abstract

It is a general result of one-dimensional non-relativistic quantum mechanics that the coefficient of reflection (reflected flux) is the same irrespective of the direction of traversing a potential barrier, a result that is independent of the barrier shape. In this note, the authors consider the transmission coefficient instead, and derive a strong result, namely that the transmission amplitude is independent of the direction of barrier traversal. That is, the transmission amplitude has the same complex phase as well as being unchanged in magnitude by changing the barrier around. This process was called inversion of reflection. 2 refs.
Publication Date:
Dec 01, 1991
Product Type:
Technical Report
Report Number:
UM-P-91/20; OZ-91/6.
Reference Number:
SCA: 662130; PA: AIX-23:005979; SN: 91000616071
Resource Relation:
Other Information: DN: Submitted to the American Journal of Physics.; PBD: [1991]
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DIRAC EQUATION; AMPLITUDES; TRANSMISSION; SCATTERING; ONE-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS; QUANTUM MECHANICS; 662130; S-MATRIX THEORY, RELATIVISTIC SCATTERING THEORY
OSTI ID:
10102532
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE92612026; TRN: AU9112337005979
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
6 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Clerk, G L, and Davies, A J. Inversion of reflection for the one-dimensional Dirac equation. Australia: N. p., 1991. Web.
Clerk, G L, & Davies, A J. Inversion of reflection for the one-dimensional Dirac equation. Australia.
Clerk, G L, and Davies, A J. 1991. "Inversion of reflection for the one-dimensional Dirac equation." Australia.
@misc{etde_10102532,
title = {Inversion of reflection for the one-dimensional Dirac equation}
author = {Clerk, G L, and Davies, A J}
abstractNote = {It is a general result of one-dimensional non-relativistic quantum mechanics that the coefficient of reflection (reflected flux) is the same irrespective of the direction of traversing a potential barrier, a result that is independent of the barrier shape. In this note, the authors consider the transmission coefficient instead, and derive a strong result, namely that the transmission amplitude is independent of the direction of barrier traversal. That is, the transmission amplitude has the same complex phase as well as being unchanged in magnitude by changing the barrier around. This process was called inversion of reflection. 2 refs.}
place = {Australia}
year = {1991}
month = {Dec}
}