Algebraic quantum theory with maximal frequency

DOI10.1134/S0040577921080055zbMath1471.81031OpenAlexW3195165853MaRDI QIDQ2047695

G. A. Kravzova

Publication date: 23 August 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921080055

zbMATH Keywords

Dirac equationnon-Hermitian Hamiltonianmaximal mass

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Anomalies in quantum field theory (81T50) Electromagnetic interaction; quantum electrodynamics (81V10) Axiomatic quantum field theory; operator algebras (81T05) Spinor and twistor methods applied to problems in quantum theory (81R25) (S)-matrix theory, etc. in quantum theory (81U20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

• Dual \(\mathcal P\mathcal T\)-symmetric quantum field theories
• Non-Hermitian \(\mathcal{PT}\)-symmetric Dirac-Pauli Hamiltonians with real energy eigenvalues in the magnetic field
• Restriction of the fermion mass spectrum in \(PT\)-symmetric systems and its implications for studying dark matter
• Developing a non-Hermitian algebraic theory with the \(\gamma_5\)-extension of mass
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

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