Developing a non-Hermitian algebraic theory with the \(\gamma_5\)-extension of mass

DOI10.1007/s11232-015-0249-3zbMath1317.81289OpenAlexW2018696888MaRDI QIDQ2515470

G. A. Kravtsova, V. N. Rodionov

Publication date: 5 August 2015

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

Full work available at URL: https://doi.org/10.1007/s11232-015-0249-3

zbMATH Keywords

\(PT\) symmetrymaximum massferminonic sectorpseudo-Hermitian theory

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Related Items (3)

Non-Hermitian $$\mathcal{PT}$$ PT -Symmetric Relativistic Quantum Theory in an Intensive Magnetic Field ⋮ Algebraic quantum theory with maximal frequency ⋮ Restriction of the fermion mass spectrum in \(PT\)-symmetric systems and its implications for studying dark matter

Cites Work

• Dual \(\mathcal P\mathcal T\)-symmetric quantum field theories
• A PT-invariant potential with complex QES eigenvalues
• Quantum mechanics of Klein--Gordon-type fields and quantum cosmology.
• Quantum mechanics of Klein-Gordon fields. I: Hilbert space, localized states, and chiral symmetry
• Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
• Complex Extension of Quantum Mechanics
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• SPONTANEOUS BREAKDOWN OF $\mathcal{PT}$ SYMMETRY IN THE SOLVABLE SQUARE-WELL MODEL
• Quantum mechanics of Proca fields
• Small-ϵ behavior of the non-Hermitian {\mathcal{P}}{\mathcal{T}} -symmetric HamiltonianH=p²+x²(ix)^ϵ
• ExactPT-symmetry is equivalent to Hermiticity
• 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
• The Script C operator in Script PScript T-symmetric quantum theories
• Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
• 𝓟𝓣-symmetric quantum mechanics
• Hilbert space structures on the solution space of Klein Gordon-type evolution equations
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• -symmetric cubic anharmonic oscillator as a physical model
• A PHYSICAL REALIZATION OF THE GENERALIZED PT-, C-, AND CPT-SYMMETRIES AND THE POSITION OPERATOR FOR KLEIN–GORDON FIELDS
• On the geometric approach to the formulation of the standard model

This page was built for publication: Developing a non-Hermitian algebraic theory with the \(\gamma_5\)-extension of mass