\(N\)-site-lattice analogues of \(V(x) = \text ix^3\)
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Publication:412152
DOI10.1016/j.aop.2011.12.009zbMath1243.81076arXiv1111.0484OpenAlexW4297041946MaRDI QIDQ412152
Publication date: 4 May 2012
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.0484
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Discrete version of topics in analysis (39A12) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Related Items (5)
Quasi-Hermitian Lattices with Imaginary Zero-Range Interactions ⋮ Solvable model of quantum phase transitions and the symbolic-manipulation-based study of its multiply degenerate exceptional points and of their unfolding ⋮ Three solvable matrix models of a quantum catastrophe ⋮ The Coulomb potential and the paradoxes of PT symmetrization ⋮ On Some Aspects of Unitary Evolution Generated by Non-Hermitian Hamiltonians
Cites Work
- Constructing exactly solvable pseudo-Hermitian many-particle quantum systems by isospectral deformation
- Planarizable supersymmetric quantum toboggans
- Decays of degeneracies in \(\mathcal PT\)-symmetric ring-shaped lattices
- Cryptohermitian picture of scattering using quasilocal metric operators
- Perturbation theory of odd anharmonic oscillators
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- On the role of the normalization factors \(\kappa_n\) and of the pseudo-metric \({\mathcal P}\neq{\mathcal P}^\dag\) in crypto-Hermitian quantum models
- Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
- Complex Extension of Quantum Mechanics
- Imaginary cubic perturbation: numerical and analytic study
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- Calculation of the hidden symmetry operator in -symmetric quantum mechanics
- An exactly solvable symmetric potential from the Natanzon class
- 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
- Metric operator in pseudo-Hermitian quantum mechanics and the imaginary cubic potential
- Matching method and exact solvability of discrete -symmetric square wells
- Non-Hermitian Hamiltonians of Lie algebraic type
- Operators Similar to Their Adjoints
- Anomalous real spectra of non-Hermitian quantum graphs in a strong-coupling regime
- The ODE/IM correspondence
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