Comparative analysis of real and \(\mathcal{PT}\)-symmetric scarf potentials
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Publication:871893
DOI10.1007/s10582-006-0391-0zbMath1117.81060OpenAlexW1620082128MaRDI QIDQ871893
Publication date: 27 March 2007
Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10582-006-0391-0
singular potentials\(\mathcal{PT}\) symmetrypseudo-normspontaneous breakdown of \(\mathcal{PT}\) symmetry
Related Items
Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials, On the normalization constant of \(PT\)-symmetric and real Rosen-Morse I potentials
Cites Work
- The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics
- Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics
- \(\text{sl}(2, \mathbb C)\) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
- \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
- \(\mathcal{PT}\) symmetry of a conditionally exactly solvable potential
- Algebraic and scattering aspects of a 𝒫𝒯-symmetric solvable potential
- GENERATING COMPLEX POTENTIALS WITH REAL EIGENVALUES IN SUPERSYMMETRIC QUANTUM MECHANICS
- Calculation of the hidden symmetry operator for a -symmetric square well
- CONDITIONS FOR COMPLEX SPECTRA IN A CLASS OF ${\mathcal P}{\mathcal T}$ SYMMETRIC POTENTIALS
- GENERALIZED CONTINUITY EQUATION AND MODIFIED NORMALIZATION IN PT-SYMMETRIC QUANTUM MECHANICS
- A search for shape-invariant solvable potentials
- $\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
- A newPT-symmetric complex Hamiltonian with a real spectrum
- Shape invariant potentials withcalPcalTsymmetry
- 𝒫𝒯-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentials
- Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
- Remarks on the -pseudo-norm in -symmetric quantum mechanics
- The Factorization Method
- Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
