Developing a non-Hermitian algebraic theory with the γ5-extension of mass View Full Text


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Article Info

DATE

2015-01

AUTHORS

V. N. Rodionov, G. A. Kravtsova

ABSTRACT

We consider a non-Hermitian fermionic model with the γ5-extension of mass: m → m1 + γ5m2. We establish the relation between this theory and a geometric theory with the maximum mass in the quantum mechanical approximation. We propose a more detailed condition of PT-symmetry preservation in the theory. It implies segregating the initial domain of PT-symmetry preservation into subdomains corresponding to descriptions of standard and exotic particles. We calculate the operator C in the new scalar product in such a theory with a non-Hermitian Hamiltonian and describe some consequences of introducing this operator. We find the eigenvalues and eigenvectors of this Hamiltonian. More... »

PAGES

100-113

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11232-015-0249-3

DOI

http://dx.doi.org/10.1007/s11232-015-0249-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1024410323


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