2016/03/01 by V. N. Rodionov, G. A. Kravtsova
Mathematics · Physics and Astronomy · #Algebraic number #Field (mathematics) #Nonlinear Waves and Solitons #Product (mathematics) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum field theory #Quantum gravity #Quantum probability #Relationship between string theory and quantum field theory #Scalar (mathematics) #Scalar field theory #Spectral Theory in Mathematical Physics #hep-ph #hep-th #quant-ph
paper · pdf · doi:10.1134/s1063779616020052
7 figures in ISSN 1063-7796, Physics of Particles and Nuclei, 2016, Vol. 47, No. 2, p.135, published in Fizika Elementarnykh Chastits i Atomnogo Yadra, 2016, Vol. 47, No. 2
openalex publication_date 2016/03/01 · arxiv created 2016/03/08 · arxiv updated 2016/04/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we draw attention to the fact that the studies by V.G. Kadyshevsky devoted to the creation of the geometric quantum field theory with a fundamental mass have had great development recently, as regards a non-Hermitian algebraic approach to construction of the quantum theory. The central idea of such theories is to construct a new scalar product in which the average values of non-Hermitian Hamiltonians are real. Many studies in this field include both purely mathematical ones and those containing the discussion of experimental results. We consider the development of an algebraic relativistic pseudo-Hermitian quantum theory with a maximal mass and discuss its experimentally important corollaries.