Three solvable matrix models of a quantum catastrophe

DOI10.1007/s10773-014-2085-xzbMath1297.81071arXiv1403.0723OpenAlexW3104625768MaRDI QIDQ458508

Miloslav Znojil, Géza Lévai, František Ružička

Publication date: 8 October 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0723

zbMATH Keywords

quantum theory\(\mathcal{PT}\) symmetryexceptional-point localizationfinite-dimensional non-Hermitian Hamiltoniansmethods of computer algebraquantum theory of catastrophes

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (8)

Coalescence of resonances in dissipationless resonant tunneling structures and \(\mathcal{PT}\)-symmetry breaking ⋮ Quasi-Hermitian Lattices with Imaginary Zero-Range Interactions ⋮ Multiply degenerate exceptional points and quantum phase transitions ⋮ Exceptional points of infinite order giving a continuous spectrum ⋮ Green's functions at exceptional points ⋮ Hilbert space inner products for \(\mathcal{PT}\)-symmetric Su-Schrieffer-Heeger models ⋮ Passage through exceptional point: case study ⋮ On Some Aspects of Unitary Evolution Generated by Non-Hermitian Hamiltonians

Uses Software

• Maple

Cites Work

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