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\({\mathcal {PT}}\) symmetry in Natanzon-class potentials - MaRDI portal

\({\mathcal {PT}}\) symmetry in Natanzon-class potentials (Q2634034)

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Language	Label	Description	Also known as
English	\({\mathcal {PT}}\) symmetry in Natanzon-class potentials	scientific article

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scholarly article

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\({\mathcal {PT}}\) symmetry in Natanzon-class potentials (English)

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International Journal of Theoretical Physics

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publication date

5 February 2016

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zbMATH Keywords

\({\mathcal {PT}}\) symmetry

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solvable potentials

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discrete energy eigenvalues

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10773-014-2507-9

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

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Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra

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CONDITIONS FOR COMPLEX SPECTRA IN A CLASS OF ${\mathcal P}{\mathcal T}$ SYMMETRIC POTENTIALS

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Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential

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On the pseudo-norm and admissible solutions of the -symmetric Scarf I potential

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On the normalization constant of \(PT\)-symmetric and real Rosen-Morse I potentials

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The {\cal PT} -symmetric Rosen–Morse II potential: effects of the asymptotically non-vanishing imaginary potential component

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Construction of the operator for a symmetric model

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Zero width resonance (spectral singularity) in a complex<i>PT</i>-symmetric potential

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COMPLEXIFIED PSUSY AND SSUSY INTERPRETATIONS OF SOME PT-SYMMETRIC HAMILTONIANS POSSESSING TWO SERIES OF REAL ENERGY EIGENVALUES

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The interplay of supersymmetry and PT symmetry in quantum mechanics: a case study for the Scarf II potential

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Solvable -symmetric potentials in higher dimensions

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{\cal P}{\cal T} symmetry and its spontaneous breakdown in three dimensions

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

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Algebraic and scattering aspects of a 𝒫𝒯-symmetric solvable potential

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$\Script P$$\Script T$-symmetric potentials and the so(2, 2) algebra

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General properties of potentials for which the Schrödinger equation can be solved by means of hypergeometric functions

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Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry

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Practical Quantum Mechanics II

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Anomalous doublets of states in a PT symmetric quantum model

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An exactly solvable symmetric potential from the Natanzon class

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Gradual spontaneous breakdown of $\mathcal{PT}$ symmetry in a solvable potential

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Asymptotic properties of solvable \({\mathcal{PT}}\)-symmetric potentials

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A class of solvable potentials

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A class of exactly solvable potentials related to the Jacobi polynomials

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A search for shape-invariant solvable potentials

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A class of exactly solvable potentials. I: One-dimensional Schrödinger equation

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A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation

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New class of conditionally exactly solvable potentials in quantum mechanics

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Comprehensive analysis of conditionally exactly solvable models

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``Implicit'' potentials associated with Jacobi polynomials: Some novel aspects

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The generalized Coulomb problem: an exactly solvable model

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Unified treatment of the Coulomb and harmonic oscillator potentials in <b> <i>D</i> </b> dimensions

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Efficient one-way quantum computations for quantum error correction

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A second class of solvable potentials related to the Jacobi polynomials

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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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10.1007/S10773-014-2507-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:2634034

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