Asymptotic properties of solvable \({\mathcal{PT}}\)-symmetric potentials
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Publication:539566
DOI10.1007/S10773-010-0595-8zbMath1215.81033OpenAlexW1965510753MaRDI QIDQ539566
Publication date: 30 May 2011
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-010-0595-8
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Special quantum systems, such as solvable systems (81Q80)
Related Items (3)
\({\mathcal {PT}}\) symmetry in Natanzon-class potentials ⋮ Exactly solvable complex PT symmetry potential A[sech(λx) + i tanh(λx)] ⋮ The finite ${\mathcal{PT}}$ -symmetric square well potential
Cites Work
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- Asymptotically vanishing -symmetric potentials and negative-mass Schrödinger equations
- The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics
- \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
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- Algebraic and scattering aspects of a 𝒫𝒯-symmetric solvable potential
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- CONDITIONS FOR COMPLEX SPECTRA IN A CLASS OF ${\mathcal P}{\mathcal T}$ SYMMETRIC POTENTIALS
- SPONTANEOUS BREAKDOWN OF $\mathcal{PT}$ SYMMETRY IN THE SOLVABLE SQUARE-WELL MODEL
- Construction of the operator for a symmetric model
- COMPLEXIFIED PSUSY AND SSUSY INTERPRETATIONS OF SOME PT-SYMMETRIC HAMILTONIANS POSSESSING TWO SERIES OF REAL ENERGY EIGENVALUES
- $\Script P$$\Script T$-symmetric potentials and the so(2, 2) algebra
- An exactly solvable symmetric potential from the Natanzon class
- The interplay of supersymmetry and PT symmetry in quantum mechanics: a case study for the Scarf II potential
- 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
- Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
- Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
- On the pseudo-norm and admissible solutions of the -symmetric Scarf I potential
- Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
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