Fragile PT-symmetry in a solvable model
From MaRDI portal
Publication:3024127
DOI10.1063/1.1803928zbMath1064.81033arXivmath-ph/0403033OpenAlexW2053134697MaRDI QIDQ3024127
Publication date: 30 June 2005
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0403033
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)
Related Items
Bound state solutions of the Schrödinger equation for a \(\mathcal{PT}\)-symmetric potential with Dirac delta functions ⋮ The Coulomb potential and the paradoxes of PT symmetrization ⋮ \(\mathcal{CPT}\)-symmetric discrete square well ⋮ ${\mathcal{PT}}$-SYMMETRIC SUPERSYMMETRY IN A SOLVABLE SHORT-RANGE MODEL ⋮ Exceptional points and domains of unitarity for a class of strongly non-Hermitian real-matrix Hamiltonians ⋮ Solvable PT-symmetric model with a tunable interspersion of nonmerging levels ⋮ MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
Cites Work
- Perturbation theory of odd anharmonic oscillators
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics
- On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
- Complex Extension of Quantum Mechanics
- Bender-Wu branch points in the cubic oscillator
- SPONTANEOUS BREAKDOWN OF $\mathcal{PT}$ SYMMETRY IN THE SOLVABLE SQUARE-WELL MODEL
- A family of complex potentials with real spectrum
- Equivalence of unstable anharmonic oscillators and double wells
- Solvable simulation of a double-well problem in -symmetric quantum mechanics
- 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
- 𝓟𝓣-symmetric quantum mechanics
- Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians
- PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES
- Bakerian Lecture - The physical interpretation of quantum mechanics
- PT-symmetric square well
