ADIABATIC EVOLUTION OF 1D SHAPE RESONANCES: AN ARTIFICIAL INTERFACE CONDITIONS APPROACH
From MaRDI portal
Publication:3007783
DOI10.1142/S0218202511005143zbMath1223.35125arXiv1001.3665MaRDI QIDQ3007783
Francis Nier, Andrea Mantile, Ali Faraj
Publication date: 17 June 2011
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.3665
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Schrödinger operator, Schrödinger equation (35J10) Resonance in context of PDEs (35B34)
Related Items
Adiabatic Evolution and Shape Resonances, 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, Non-autonomous quantum systems with scale-dependent interface conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adiabatic theorems and applications to the quantum Hall effect
- Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures
- Adiabatic theorems for quantum resonances
- 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
- Truncated Gamow functions, \(\alpha\)-decay and the exponential law
- Space-time picture of semiclassical resonances
- On the evolution of resonance states
- Time dependent resonance theory
- On a one-dimensional Schrödinger-Poisson scattering model
- Linear adiabatic theory. Exponential estimates
- On Schrödinger equations with concentrated nonlinearities
- General adiabatic evolution with a gap condition
- Transport and dissipation in quantum pumps
- Scattering theory for open quantum systems with finite rank coupling
- Resolvents of self-adjoint extensions with mixed boundary conditions
- Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation
- Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Integration of the equation of evolution in a Banach space
- On a multidimensional Schrödinger–Poisson scattering model for semiconductors
- MATHEMATICAL CONCEPTS OF OPEN QUANTUM BOUNDARY CONDITIONS
- Semiclassical theory of shape resonances in quantum mechanics
- Complex Scaling and the Distribution of Scattering Poles
- The dynamics of some quantum open systems with short-range nonlinearities
- Adiabatic charge pumping in open quantum systems
- A QUANTUM TRANSMITTING SCHRÖDINGER–POISSON SYSTEM
- Dissipative Schrödinger–Poisson systems
- Transport properties in resonant tunneling heterostructures
- A remark on Krein's resolvent formula and boundary conditions
- Current Coupling of Drift-Diffusion Models and Schrödinger--Poisson Systems: Dissipative Hybrid Models
- Adiabatically switched-on electrical bias and the Landauer–Büttiker formula
