Scattering and local absorption for the Schrödinger operator

DOI10.1016/0022-1236(78)90046-0zbMath0382.47004OpenAlexW2076244354MaRDI QIDQ1248103

Jean Ginibre, Monique Combescure

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90046-0

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (12)

Deficiency indices and singular boundary conditions in quantum mechanics ⋮ Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials ⋮ Invariance of the essential spectra for perturbations with unbounded hard cores ⋮ Unnamed Item ⋮ Scattering from a spatially restricted atom. I ⋮ Spectral and scattering theory for a class of strongly oscillating potentials ⋮ Finite total cross-sections in nonrelativistic quantum mechanics ⋮ A generalization of the Birman trace theorem ⋮ Scattering theory for systems with different spatial asymptotics on the left and right ⋮ Scattering theory for high order operators in domains with infinite boundary ⋮ On decoupling of finite singularities in the scattering theory for the Schrödinger operator with a magnetic field ⋮ Transition matrix of point interactions as the scaling limit of integrable potentials on the real line

Cites Work

• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems
• A generalization of the Birman trace theorem
• Scattering theory for elliptic operators of arbitrary order
• Scattering states and wave operators in the abstract theory of scattering
• THE EXISTENCE OF WAVE OPERATORS IN SCATTERING THEORY FOR PAIRS OF SPACES
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