An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances

DOI10.1088/1751-8113/43/47/474025zbMath1204.81071arXiv1006.0606OpenAlexW3104341354MaRDI QIDQ3065987

Ali Faraj, Francis Nier, Andrea Mantile

Publication date: 7 January 2011

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

Full work available at URL: https://arxiv.org/abs/1006.0606

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Transport processes in time-dependent statistical mechanics (82C70) Dilations, extensions, compressions of linear operators (47A20) Resonance in context of PDEs (35B34) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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Quantum evolution in the regime of quantum wells in a semiclassical island with artificial interface conditions ⋮ Wave operators, similarity and dynamics for a class of Schrödinger operators with generic non-mixed interface conditions in 1D ⋮ A Double Scale Fast Algorithm for the Transient Evolution of a Resonant Tunneling Diode

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