SPONTANEOUS BREAKDOWN OF $\mathcal{PT}$ SYMMETRY IN THE SOLVABLE SQUARE-WELL MODEL
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Publication:3508341
DOI10.1142/S0217732301005722zbMath1138.81404arXivhep-th/0111213MaRDI QIDQ3508341
Publication date: 27 June 2008
Published in: Modern Physics Letters A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0111213
Schrödinger equationspontaneously broken symmetry\(PT\) symmetric square wellexplicit wave functionsnumerical construction of critical couplingsstrongly non-Hermitian regime
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Cites Work
- A PT-invariant potential with complex QES eigenvalues
- Perturbation theory of odd anharmonic oscillators
- 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
- Schrödinger operators with complex potential but real spectrum
- \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
- Algebraic and scattering aspects of a 𝒫𝒯-symmetric solvable potential
- Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians
- Complex Calogero model with real energies
- Conjecture on the interlacing of zeros in complex Sturm–Liouville problems
- Supersymmetry and the spontaneous breakdown of 𝒫𝒯 symmetry
- On the eigenproblems of PT-symmetric oscillators
- 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
- Strong-coupling expansions for the -symmetric oscillators
- Equivalence of unstable anharmonic oscillators and double wells
- 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
- 𝒫𝒯-symmetrically regularized Eckart, Pöschl-Teller and Hulthén potentials
- Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
- Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant
- 𝓟𝓣-symmetric quantum mechanics
- SUSY QUANTUM MECHANICS WITH COMPLEX SUPERPOTENTIALS AND REAL ENERGY SPECTRA
- Quantum complex Hénon-Heiles potentials
- Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
- PT-symmetric square well
- On phase-space representations of quantum mechanics
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