Scattering length and perturbations of \(-\Delta\) by positive potentials
From MaRDI portal
Publication:1230137
DOI10.1016/0022-247X(76)90112-8zbMath0336.31005OpenAlexW2070561321MaRDI QIDQ1230137
Publication date: 1976
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(76)90112-8
Perturbations in context of PDEs (35B20) Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Higher-dimensional potential theory (31B99)
Related Items
Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice, A remark on Kac's scattering length formula, An optimal lower bound in fractional spectral geometry for planar sets with topological constraints, Semi-classical asymptotics for scattering length of symmetric stable processes, Domain perturbations, shift of eigenvalues and capacity, A formula on scattering length of positive smooth measures, A formula on scattering length of dual Markov processes, On Pólya's inequality for torsional rigidity and first Dirichlet eigenvalue, Potential and scattering theory on wildly perturbed domains, Scattering length for stable processes, Brownian survival and Lifshitz tail in perturbed lattice disorder, ASYMPTOTIC BEHAVIOR OF THE INTEGRATED DENSITY OF STATES FOR RANDOM POINT FIELDS ASSOCIATED WITH CERTAIN FREDHOLM DETERMINANTS, Scattering lengths for additive functionals and their semi-classical asymptotics, Capacitary asymptotic expansion of the groundstate to second order, Capacity in abstract hilbert spaces and applications to higher order. differential operators
Cites Work
- Potential and scattering theory on wildly perturbed domains
- Scattering length and capacity
- Electrostatic capacity, heat flow, and brownian motion
- On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
- Approximation of obstacles by high potentials; convergence of scattering waves
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item