Winding in non-Hermitian systems

DOI10.1088/1751-8121/aa9fafzbMath1387.81218arXiv1704.02028OpenAlexW2606294180MaRDI QIDQ4606179

Stella T. Schindler, Carl M. Bender

Publication date: 1 March 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02028

zbMATH Keywords

PT symmetryinterlacingwinding

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items

PT-symmetric quantum graphs, Quantum dynamics of a parity-time-symmetric kicked particle in a 1D box

Cites Work

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• Theory of braids
• Conjecture on the interlacing of zeros in complex Sturm–Liouville problems
• 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
• Nonlinear eigenvalue problems