Non-Hermitian \(\mathcal{PT}\)-symmetric Dirac-Pauli Hamiltonians with real energy eigenvalues in the magnetic field

DOI10.1007/S10773-014-2410-4zbMath1329.81186arXiv1409.5412OpenAlexW3122075074WikidataQ114226220 ScholiaQ114226220MaRDI QIDQ905175

V. N. Rodionov

Publication date: 14 January 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5412

zbMATH Keywords

(g-2) gyromagnetic factor of particles with spin 1/2intensive homogenous magnetic fieldmodified Dirac-Pauli equations

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (4)

Non-Hermitian $$\mathcal{PT}$$ PT -Symmetric Relativistic Quantum Theory in an Intensive Magnetic Field ⋮ Understanding partial \(\mathcal{PT}\) symmetry as weighted composition conjugation in reproducing kernel Hilbert space: an application to non-Hermitian Bose-Hubbard type Hamiltonian in Fock space ⋮ 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
• CONDITIONS FOR COMPLEX SPECTRA IN A CLASS OF ${\mathcal P}{\mathcal T}$ SYMMETRIC POTENTIALS
• 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
• Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
• Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
• Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• Motion in a Constant Magnetic Field
• Relativistic Motion in a Magnetic Field

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