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Publication:3712681
zbMath0586.35030MaRDI QIDQ3712681
Giovanni Jona-Lasinio, Elisabetta Scoppola, Fabio Martinelli
Publication date: 1985
Full work available at URL: http://www.numdam.org/item?id=AIHPA_1985__42_1_73_0
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Schrödinger equationtunnelingrandom perturbationquantum evolutionspectral properties of the Hamiltonian
Applications of operator algebras to the sciences (47L90) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations in context of PDEs (35B20)
Related Items (10)
Unnamed Item ⋮ Comportement semi-classique pour l'opérateur de Schrödinger à potentiel périodique. (Semi-classical behaviour of the Schrödinger operator with periodic potential) ⋮ The perturbatively stable spectrum of a periodic Schrödinger operator ⋮ Spectral stability under tunneling ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Spectral properties of one dimensional quasi-crystals ⋮ Finite Trotter approximation to the averaged mean square distance in the Anderson model ⋮ Constructive proof of localization in the Anderson tight binding model ⋮ Stochastic processes of a quantum state
Cites Work
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- On absence of diffusion near the bottom of the spectrum for a random Schrödinger operator on \(L^ 2({\mathbb{R}}^ v)^+\)
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Sur le spectre des opérateurs aux différences finies aléatoires
- Singular continuous measures in scattering theory
- New approach to the semiclassical limit of quantum mechanics. I: Multiple tunnelings in one dimension
- Schrödinger semigroups
- Quantum particle in a hierarchical potential with tunnelling over arbitrarily large scales
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