The algebraic and geometric approaches to PJ-symmetric non-Hermitian relativistic quantum mechanics with maximal mass View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2014-05

AUTHORS

V. N. Rodionov, G. A. Kravtsova

ABSTRACT

A non-Hermitian fermion model containing a γ5-matrix in the mass term m→m1 + γ5m2 is considered. A new refined condition of the unbroken PJ-symmetry of the theory is proposed that comprises an indication that the initial domain of unbroken PJ-symmetry is divided into subdomains corresponding to the description of ordinary and exotic particles. A relationship is established between the theory under study and the quantum field theory with maximal mass M developed on the basis of the geometric approach. The operator {ie223-1} is calculated explicitly, which is required for the construction of a new scalar product in the theory with a non-Hermitian Hamiltonian. More... »

PAGES

223-229

Identifiers

URI

http://scigraph.springernature.com/pub.10.3103/s002713491403014x

DOI

http://dx.doi.org/10.3103/s002713491403014x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048748383


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137 schema:name Department of Mathematical Economics and Informatics, Plekhanov Russian University of Economics, 117997, Moscow, Russia
138 rdf:type schema:Organization
 




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