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From a particle with a world-line supersymmetry to the Dirac-like equation

Abstract

It is shown that the classical action for a particle with a local world-line supersymmetry lead after quantization to the Dirac-like equation which is defined by operators {alpha}-vector and {beta}-circumflex fulfilling the same anticommutation relations as the corresponding Dirac matrices, except that these operators are not Hermitian - they even (anti) commute with the Hermitian conjugate operators. It is shown also that the four current is the analogue of the classical relativistic four current. (author). 6 refs.
Publication Date:
Oct 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/370
Reference Number:
SCA: 661100; 662120; PA: AIX-23:028601; SN: 92000699589
Resource Relation:
Other Information: PBD: Oct 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SUPERSYMMETRY; DIRAC EQUATION; ACTION INTEGRAL; QUANTIZATION; QUANTUM OPERATORS; 661100; 662120; CLASSICAL AND QUANTUM MECHANICS; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10132840
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92622376; TRN: XA9230801028601
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
20 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Mankoc Borstnik, N. From a particle with a world-line supersymmetry to the Dirac-like equation. IAEA: N. p., 1991. Web.
Mankoc Borstnik, N. From a particle with a world-line supersymmetry to the Dirac-like equation. IAEA.
Mankoc Borstnik, N. 1991. "From a particle with a world-line supersymmetry to the Dirac-like equation." IAEA.
@misc{etde_10132840,
title = {From a particle with a world-line supersymmetry to the Dirac-like equation}
author = {Mankoc Borstnik, N}
abstractNote = {It is shown that the classical action for a particle with a local world-line supersymmetry lead after quantization to the Dirac-like equation which is defined by operators {alpha}-vector and {beta}-circumflex fulfilling the same anticommutation relations as the corresponding Dirac matrices, except that these operators are not Hermitian - they even (anti) commute with the Hermitian conjugate operators. It is shown also that the four current is the analogue of the classical relativistic four current. (author). 6 refs.}
place = {IAEA}
year = {1991}
month = {Oct}
}