Result: Statistical origin of pseudo-Hermitian supersymmetry and pseudo-Hermitian fermions
Title:
Statistical origin of pseudo-Hermitian supersymmetry and pseudo-Hermitian fermions
Authors:
Source:
International Conference on Progress in Supersymmetric Quantum Mechanics (PSQM'03) (Valladolid, Spain, 15-19 July 2003)Journal of physics. A, mathematical and general. 37(43):10193-10207
Publisher Information:
Bristol: Institute of Physics, 2004.
Publication Year:
2004
Physical Description:
print, 49 ref
Original Material:
INIST-CNRS
Subject Terms:
Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Physiques classique et quantique: mécanique et champs, Classical and quantum physics: mechanics and fields, Mécanique quantique, Quantum mechanics, Méthodes algébriques, Algebraic methods, Physique des particules elementaires et champs, The physics of elementary particles and fields, Théorie générale des champs et particules, General theory of fields and particles, Symétries et lois de conservation, Symmetry and conservation laws, Supersymétrie, Supersymmetry, Algèbre Lie, Lie algebras, Boson, Bosons, Bosonisation, Bosonization, Bosonización, Equivalence, Equivalencia, Fermion, Fermions, Hamiltonien, Hamiltonians, Mécanique quantique supersymétrique, Supersymmetric quantum mechanics, Opérateur, Operator, Operador, Supersymétrie, Supersymmetry, Système particules, Particle system, Sistema partículas, Valeur propre, Eigenvalues
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Koç University, Rumelifeneri Yolu, 34450 Sariyer, Istanbul, Turkey
ISSN:
0305-4470
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics of elementary particles and fields
Theoretical physics
Theoretical physics
Accession Number:
edscal.16222660
Database:
PASCAL Archive
Further Information
We show that the metric operator for a pseudo-supersymmetric Hamiltonian that has at least one negative real eigenvalue is necessarily indefinite. We introduce pseudo-Hermitian fermion (phermion) and abnormal phermion algebras and provide a pair of basic realizations of the algebra of N = 2 pseudo-supersymmetric quantum mechanics in which pseudo-supersymmetry is identified with either a boson-phermion or a boson-abnormal-phermion exchange symmetry. We further establish the physical equivalence (non-equivalence) of phermions (abnormal phermions) with ordinary fermions, describe the underlying Lie algebras and study multi-particle systems of abnormal phermions. The latter provides a certain bosonization of multifermion systems.