Swanson Hamiltonian: non-PT-symmetry phase (Q5049479)

scientific article; zbMATH DE number 7615562

Language	Label	Description	Also known as
English	Swanson Hamiltonian: non-PT-symmetry phase	scientific article; zbMATH DE number 7615562

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instance of

scholarly article

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title

Swanson Hamiltonian: non-PT-symmetry phase (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

11 November 2022

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full work available at URL

https://arxiv.org/abs/2108.01004

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zbMATH Keywords

parity time-symmetry Swanson Hamiltonian

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Gel'fand triplet

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exceptional points

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phase transitions

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MaRDI profile type

MaRDI publication profile

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cites work

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

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Generalized PT symmetry and real spectra

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$\boldsymbol{\mathcal{PT}}$-symmetric potentials having continuous spectra

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Interactions of Hermitian and non-Hermitian Hamiltonians

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Perfectly invisible $ \mathcal{P}\mathcal{T} $-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry

0 references

Anomalous mechanisms of the loss of observability in non-Hermitian quantum models

0 references

Exceptional points and domains of unitarity for a class of strongly non-Hermitian real-matrix Hamiltonians

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Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects

0 references

Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics

0 references

Time-reversal symmetric resolution of unity without background integrals in open quantum systems

0 references

The arrow of time in open quantum systems and dynamical breaking of the resonance–anti-resonance symmetry

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Dynamics of finite dimensional non-hermitian systems with indefinite metric

0 references

Transition elements for a non-Hermitian quadratic Hamiltonian

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Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians

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A new solvable complex PT-symmetric potential

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Choice of a metric for the non-Hermitian oscillator

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A non-Hermitian oscillator Hamiltonian and su(1,1): a way towards generalizations

0 references

Isospectral partners of a complex PT-invariant potential

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Generalized Swanson models and their solutions

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Pseudo supersymmetric partners for the generalized Swanson model

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On pseudo-Hermitian Hamiltonians and their Hermitian counterparts

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Quantum isotonic nonlinear oscillator as a Hermitian counterpart of Swanson Hamiltonian and pseudo-supersymmetry

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Metrics and isospectral partners for the most generic cubic {\cal PT} -symmetric non-Hermitian Hamiltonian

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Non-isospectrality of the generalized Swanson Hamiltonian and harmonic oscillator

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Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians

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PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS

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Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian

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Minimal length in quantum mechanics and non-Hermitian Hamiltonian systems

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New 1-step extension of the Swanson oscillator and superintegrability of its two-dimensional generalization

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$\mathcal P\mathcal T$-symmetric harmonic oscillators

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Symmetrized exponential oscillator

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Multi-well log-anharmonic oscillators

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Hermitian versus non-Hermitian representations for minimal length uncertainty relations

0 references

Milne quantization for non-Hermitian systems

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From pseudo-bosons to pseudo-Hermiticity via multiple generalized Bogoliubov transformations

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Squeezed states from a quantum deformed oscillator Hamiltonian

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Continuum states in generalized Swanson models

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Exactly solvable time-dependent non-Hermitian quantum systems from point transformations

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Solving the two-mode squeezed harmonic oscillator and the<i>k</i>th-order harmonic generation in Bargmann–Hilbert spaces

0 references

Comment on ‘Solving the two-mode squeezed harmonic oscillator and the<i>k</i>th-order harmonic generation in Bargmann–Hilbert spaces’

0 references

Quantum mechanics of damped systems

0 references

Quantum mechanics of damped systems. II. Damping and parabolic potential barrier

0 references

Factorization method and new potentials from the inverted oscillator

0 references

Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations

0 references

Q5724171

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Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space formulation of quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin, USA. Ed. by A. Bohm and J. D. Dollard

0 references

Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum

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Non-Selfadjoint Operators in Quantum Physics

0 references

Q4692935

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A rigged Hilbert space of Hardy-class functions: Applications to resonances

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Exceptional points of infinite order giving a continuous spectrum

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New features of scattering from a one-dimensional non-Hermitian (complex) potential

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Integral transforms in science and engineering

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Identifiers

zbMATH Open document ID

1499.81048

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Mathematics Subject Classification ID

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10.1088/1751-8121/AC3A35

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Sitelinks

Mathematics(1 entry)

mardi Publication:5049479