Manifestation of superposition and coherence in ${\mathcal P} {\mathcal T}$ -symmetry through the η-inner product

DOI10.1088/1751-8121/aaca46zbMath1407.81023arXiv1802.00480OpenAlexW3123967994MaRDI QIDQ3119992

M. Y. Huang, Junde Wu, Ray-Kuang Lee

Publication date: 28 February 2019

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

Full work available at URL: https://arxiv.org/abs/1802.00480

zbMATH Keywords

coherencesuperposition\({\mathcal PT}\)-symmetric\(\eta\)-inner product

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum coherence, entanglement, quantum correlations (81P40)

Cites Work

• Matrices and indefinite scalar products
• 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
• 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
• A quantitative theory of coherent delocalization

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