Operator-based approach to \({\mathcal{P}}{\mathcal{T}}\)-symmetric problems on a wedge-shaped contour
DOI10.1007/s40509-019-00197-3zbMath1423.81076arXiv1902.08025OpenAlexW2945487662MaRDI QIDQ2329972
Publication date: 18 October 2019
Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.08025
eigenvaluesspectrumlimit pointnon-Hermitian Hamiltonianlimit circle\({\mathcal{P}}{\mathcal{T}}\) symmetric operatorStokes wedges
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General topics in linear spectral theory for PDEs (35P05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Cites Work
- Spectral projections of the complex cubic oscillator
- \({\mathcal{PT}}\)-symmetric periodic optical potentials
- Krein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-Hermiticity
- \(\mathcal {PT}\)-symmetric waveguides
- Point interactions, metamaterials, and \(\mathcal{PT}\)-symmetry
- On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
- On Weyl function and generalized resolvents of a Hermitian operator in a Krein space
- On generalized resolvents of Hermitian relations in Krein spaces
- Supersymmetry and the spontaneous breakdown of 𝒫𝒯 symmetry
- Complex Extension of Quantum Mechanics
- ${\cal {PT}}$ PT symmetric, Hermitian and $\mathcal P$P-self-adjoint operators related to potentials in ${\cal {PT}}$PT quantum mechanics
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- -symmetric versus Hermitian formulations of quantum mechanics
- Pseudospectra in non-Hermitian quantum mechanics
- Optical lattices with PT symmetry are not transparent
- On domains of {\cal P}{\cal T} symmetric operators related to −y″(x) + (− 1)nx2ny(x)
- On the spectrum of second-order differential operators with complex coefficients
- 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
- Pseudo-Hermitian description ofPT-symmetric systems defined on a complex contour
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Operator-based approach to \({\mathcal{P}}{\mathcal{T}}\)-symmetric problems on a wedge-shaped contour
