Parity-time \((\mathcal{PT})\) invariance and pseudo-Hermitian Hamiltonian of a nonlinear oscillator

DOI10.1016/j.physleta.2005.11.031zbMath1187.81097OpenAlexW2056477531MaRDI QIDQ973518

R. Barak, Y. Ben-Aryeh

Publication date: 2 June 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.11.031

zbMATH Keywords

nonlinear oscillatorparity-time (PT) invariancepseudo-Hermitian Hamiltonian

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (3)

Similarity transformations of Hermitian Hamiltonians and pseudo-Hermitian coupling between two electromagnetic modes ⋮ Classification of the conditionally observable spectra exhibiting central symmetry ⋮ Quasi-Hermitian Hamiltonians, minimum-uncertainty (MU) angular momentum states and interferometers

Cites Work

• Complex Extension of Quantum Mechanics
• Must a Hamiltonian be Hermitian?
• Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator
• Calculation of the hidden symmetry operator in   -symmetric quantum mechanics
• Generalized PT symmetry and real spectra
• 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
• Rabi oscillations in a two-level atomic system with a pseudo-Hermitian Hamiltonian
• Physical aspects of pseudo-Hermitian andPT-symmetric quantum mechanics
• Pseudo-Hermitian description ofPT-symmetric systems defined on a complex contour
• 𝓟𝓣-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 III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
• Pseudo-Hermiticity and generalized PT- and CPT-symmetries
• PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES
• -symmetric cubic anharmonic oscillator as a physical model
• Scalar Invariants of a Rotational System in a Lie Algebra
• PT-symmetric square well

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