Scattering theory of the linear Boltzmannoperator

DOI10.1007/BF01609153zbMath0309.47009MaRDI QIDQ1219036

Johann Hejtmanek

Publication date: 1975

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Groups and semigroups of linear operators (47D03) Scattering theory of linear operators (47A40)

Related Items (13)

Asymptotic behaviour and wave operators in charge exchange ⋮ Scattering theory with two \(L^1\) spaces: application to transport equations with obstacles ⋮ Relation between scattering and albedo operators in linear transport theory ⋮ The eigenvalue spectrum of the linear Boltzmann operator in \(L^1(R^6)\) and \(L^2(R^6)\) ⋮ A quantum neutron diffusion equation and its classical limit ⋮ Inverse scattering and inverse boundary value problems for the linear boltzmann equation ⋮ Scattering theory for linearized Boltzmann equation. Survey and new results ⋮ Stark stetige Halbgruppen und Gruppen als Lösungen von Cauchy-Problemen in der Mathematischen Physik ⋮ On the existence of the scattering operator for the linear Boltzmann equation ⋮ Quantum dynamical semigroups and the neutron diffusion equation ⋮ The structure of the fundamental solution of the time-independent transport equation ⋮ Dynamics and spectrum of the linear multiple scattering operator in the Banach lattice L¹(R³× R³) ⋮ On the Lax and Phillips scattering theory for transport equation

Cites Work

• Quantum-mechanical scattering theory for short-range and Coulomb interactions
• On the existence and the unitary property of the scattering operator
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