Quantum evolution in the regime of quantum wells in a semiclassical island with artificial interface conditions
DOI10.1063/1.4894058zbMath1304.81085arXiv1310.7978OpenAlexW3099405725MaRDI QIDQ2924882
Publication date: 20 October 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.7978
quantum evolutionshape resonancesadiabatic theorysemiclassical Laplacianartificial interface conditionsresonant heterostructuressemiclassical island
Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Green's functions for elliptic equations (35J08)
Cites Work
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- Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I
- Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II
- Generalized resolvents and the boundary value problems for Hermitian operators with gaps
- Semi-classical analysis for the Schrödinger operator and applications
- Linear adiabatic theory. Exponential estimates
- On Schrödinger equations with concentrated nonlinearities
- Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- ADIABATIC EVOLUTION OF 1D SHAPE RESONANCES: AN ARTIFICIAL INTERFACE CONDITIONS APPROACH
- An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances
- On the essential spectrum of partial differential boundary problems
- Scattering matrices and Weyl functions
- Résonances en limite semi-classique
- Transport properties in resonant tunneling heterostructures
- Wave operators, similarity and dynamics for a class of Schrödinger operators with generic non-mixed interface conditions in 1D
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