“Striped” rectangular rigid box with Hermitian and non-Hermitian PT symmetric potentials
DOI10.1063/5.0065899zbMath1480.81046arXiv2103.05314OpenAlexW3203079255MaRDI QIDQ5163814
Rajeev K. Pathak, Shailesh Kulkarni
Publication date: 8 November 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05314
Linear symmetric and selfadjoint operators (unbounded) (47B25) Symmetry breaking in quantum theory (81R40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Operators arising in mathematical physics (47B93) Dynamical systems with singularities (billiards, etc.) (37C83)
Related Items (1)
Uses Software
Cites Work
- \(\mathcal{PT}\)-symmetric strings
- Quantum mechanical analysis of the equilateral triangle billiard: Periodic orbit theory and wave packet revivals
- Pseudointegrable systems in classical and quantum mechanics
- Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics
- Necessity of \(\mathcal{PT}\) symmetry for soliton families in one-dimensional complex potentials
- \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
- Stability boundaries of a Mathieu equation having \textit{PT} symmetry
- Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
- Quantum mechanics of the two-dimensional circular billiard plus baffle system and half-integral angular momentum
- Boundary Integral Method for Stationary States of Two-Dimensional Quantum Systems
- 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
- Isolated versus nonisolated periodic orbits in variants of the two-dimensional square and circular billiards
- Parity-time symmetry broken by point-group symmetry
- Quantum dynamics of a parity-time-symmetric kicked particle in a 1D box
- PT-symmetric square well
- Anomalous doublets of states in a PT symmetric quantum model
- PT symmetry and shape invariance for a potential well with a barrier
This page was built for publication: “Striped” rectangular rigid box with Hermitian and non-Hermitian PT symmetric potentials
