Non-autonomous quantum systems with scale-dependent interface conditions

DOI10.3233/ASY-161359zbMath1408.81011arXiv1508.07737OpenAlexW2964228500MaRDI QIDQ2816231

Andrea Mantile

Publication date: 4 July 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07737

zbMATH Keywords

nonselfadjoint operatorsinterface conditionsnon-autonomous quantum systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Unnamed Item
• Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I
• Linear adiabatic theory. Exponential estimates
• On Schrödinger equations with concentrated nonlinearities
• ADIABATIC EVOLUTION OF 1D SHAPE RESONANCES: AN ARTIFICIAL INTERFACE CONDITIONS APPROACH
• On the essential spectrum of partial differential boundary problems

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