You need JavaScript to view this

Band gaps for the relativistic Mathieu potential

Technical Report:

Abstract

A study of the band structure of a massless particle in a cosine potential is made via the Dirac equation. It is shown that every alternate band gap disappears as a consequence of a periodicity of the potential combined with a peculiar symmetry of the Dirac equation. This basic potential is then used to study a simple one-dimensional model of the nucleus from which it is ascertained that modelling the mean field of the quarks in the nucleus via a pure scalar potential is unsatisfactory. A simple extension involving a combined scalar and vector potential is then proposed as a possible solution to this problem. The effect of the addition of this vector component to the band structure is also investigated. 32 refs.
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
UM-P-92/07; OZ-P-92/04.
Reference Number:
SCA: 663110; PA: AIX-24:003681; SN: 93000913848
Resource Relation:
Other Information: PBD: [1992]
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; MASSLESS PARTICLES; ENERGY GAP; POTENTIALS; MATHIEU EQUATION; BAND THEORY; NUCLEAR MODELS; NUMERICAL SOLUTION; 663110; GENERAL AND AVERAGE PROPERTIES OF NUCLEI AND NUCLEAR ENERGY LEVELS
Sponsoring Organizations:
Australian Research Council, Canberra, ACT (Australia)
OSTI ID:
10109140
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE93609994; TRN: AU9212932003681
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[24] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Clerk, G J, and McKellar, B H.J. Band gaps for the relativistic Mathieu potential. Australia: N. p., 1992. Web.
Clerk, G J, & McKellar, B H.J. Band gaps for the relativistic Mathieu potential. Australia.
Clerk, G J, and McKellar, B H.J. 1992. "Band gaps for the relativistic Mathieu potential." Australia.
@misc{etde_10109140,
title = {Band gaps for the relativistic Mathieu potential}
author = {Clerk, G J, and McKellar, B H.J.}
abstractNote = {A study of the band structure of a massless particle in a cosine potential is made via the Dirac equation. It is shown that every alternate band gap disappears as a consequence of a periodicity of the potential combined with a peculiar symmetry of the Dirac equation. This basic potential is then used to study a simple one-dimensional model of the nucleus from which it is ascertained that modelling the mean field of the quarks in the nucleus via a pure scalar potential is unsatisfactory. A simple extension involving a combined scalar and vector potential is then proposed as a possible solution to this problem. The effect of the addition of this vector component to the band structure is also investigated. 32 refs.}
place = {Australia}
year = {1992}
month = {Dec}
}