Time-dependent metric for the two-dimensional, non-Hermitian coupled oscillator
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Publication:5110424
DOI10.1142/S0217732320500418zbMath1434.81029arXiv1812.02862MaRDI QIDQ5110424
Publication date: 19 May 2020
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.02862
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Symmetry breaking in quantum theory (81R40) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Related Items (3)
Generalized Gauge Transformation with PT$PT$‐Symmetric Non‐Unitary Operator and Classical Correspondence of Non‐Hermitian Hamiltonian for a Periodically Driven System ⋮ Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators ⋮ Exotic entanglement for non-Hermitian Jaynes–Cummings Hamiltonians
Cites Work
- Time-dependent pseudo-Hermitian Hamiltonians defining a unitary quantum system and uniqueness of the metric operator
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- Mending the broken PT-regime via an explicit time-dependent Dyson map
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- Non-Hermitian Quantum Mechanics
- COMPLETE EXACT QUANTUM STATES OF THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR
- 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
- Solvable two-dimensional time-dependent non-Hermitian quantum systems with infinite dimensional Hilbert space in the broken PT-regime
- Transition elements for a non-Hermitian quadratic Hamiltonian
- Time evolution of non-Hermitian Hamiltonian systems
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