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Complex extension of quantum mechanics - MaRDI portal

Complex extension of quantum mechanics (Q2837679)

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scientific article; zbMATH DE number 6186819

Language	Label	Description	Also known as
English	Complex extension of quantum mechanics	scientific article; zbMATH DE number 6186819

Statements

scholarly article

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Physical Review Letters

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publication date

11 July 2013

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full work available at URL

https://arxiv.org/abs/quant-ph/0208076

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MaRDI profile type

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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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𝓟𝓣-symmetric quantum mechanics

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Supersymmetry and the spontaneous breakdown of \(\mathcal{PT}\) symmetry

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Spectral equivalences, Bethe ansatz equations, and reality properties in \(\mathcal{PT}\)-symmetric quantum mechanics

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Complex periodic potentials with real band spectra.

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Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra

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Quantum complex Hénon-Heiles potentials

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Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

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

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Space of state vectors in 𝒫𝒯-symmetric quantum mechanics

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Conjecture on the interlacing of zeros in complex Sturm-Liouville problems

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Comment on a recent paper by Mezincescu

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Two-point Green's function in PT-symmetric theories

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Bakerian Lecture - The physical interpretation of quantum mechanics

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Generalized PT symmetry and real spectra

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Complex numbers, quantum mechanics and the beginning of time

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Statistical geometry in quantum mechanics

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Complex extension of quantum mechanics (English)

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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quant-ph/0208076

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10.1103/PHYSREVLETT.89.270401

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Sitelinks

Mathematics(1 entry)

mardi Publication:2837679

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