Constructing exactly solvable pseudo-Hermitian many-particle quantum systems by isospectral deformation (Q539576)

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English	Constructing exactly solvable pseudo-Hermitian many-particle quantum systems by isospectral deformation	scientific article

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scholarly article

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title

Constructing exactly solvable pseudo-Hermitian many-particle quantum systems by isospectral deformation (English)

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author

Pijush K. Ghosh

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published in

International Journal of Theoretical Physics

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publication date

30 May 2011

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full work available at URL

https://arxiv.org/abs/1012.0907

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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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Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian

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

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Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries

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Quasi-Hermitian operators in quantum mechanics and the variational principle

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On the construction of a pseudo-Hermitian quantum system with a pre-determined metric in the Hilbert space

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Transition elements for a non-Hermitian quadratic Hamiltonian

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The exactly solvable quasi-Hermitian transverse Ising model

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A spin chain model with non-Hermitian interaction: the Ising quantum spin chain in an imaginary field

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Turning the quantum group invariantXXZspin-chain Hermitian: a conjecture on the invariant product

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PT symmetry on the lattice: the quantum group invariantXXZspin chain

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PHASE SHIFT ANALYSIS OF PT-SYMMETRIC NONHERMITIAN EXTENSION OF AN-1 CALOGERO MODEL WITHOUT CONFINING INTERACTION

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On an exactly solvable \(B_N\) type Calogero model with non-Hermitian PT invariant interaction

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On the real spectra of the Calogero model with complex coupling

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Complex Calogero model with real energies

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A NOTE ON THE INTEGRABILITY OF NON-HERMITIAN EXTENSIONS OF CALOGERO–MOSER–SUTHERLAND MODELS

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Reaction-diffusion processes, critical dynamics, and quantum chains

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Exact solution of a 1D asymmetric exclusion model using a matrix formulation

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Inequivalent quantizations of the rational Calogero model

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Novel quantum states of the rational Calogero models without the confining interaction

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Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables

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Inequivalent quantizations of the N=3 Calogero model with scale and mirror-S3 symmetry

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Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation

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Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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Two soluble models of an antiferromagnetic chain

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Statistical Mechanics of the Anisotropic Linear Heisenberg Model

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Integrable XYZ spin chain with boundaries

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Thesl2loop algebra symmetry of the twisted transfer matrix of the six-vertex model at roots of unity

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Identifiers

zbMATH Open document ID

1213.81145

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DOI

10.1007/s10773-010-0618-5

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:539576