Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon

DOI10.1088/1751-8113/44/43/435303zbMath1270.81092OpenAlexW2028946585MaRDI QIDQ3098126

Raam Uzdin, M. V. Berry

Publication date: 17 November 2011

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

Full work available at URL: https://semanticscholar.org/paper/8313001fe8d1a425795c7feb973ced860cf4baf5

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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