Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Letters A

On resolvent operators in scattering theory

Sadhan K. Adhikari

Published Apr 1, 1983• 8 citations
Publisher
DOI
10.1016/0375-9601(83)90770-3

Related papers

Time-delay operators in scattering theory

X.P. Wang

•Jan 1, 1985•0 citations

Generalization of the Form of the T Matrix Operator of Non-Relativistic Scattering Theory

Francis Leone

•Jan 1, 1978•0 citations

Integral representations of the wave and transition operators in nonrelativistic scattering theory

Eduard Prugovečki

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Jul 1, 1971•10 citations

Radiation conditions and scattering theory for N-particle Schrödinger operators

Dimitri R. Yafaev

Springer eBooks•Apr 7, 2008•0 citations

Propagator and Resolvent

Marcos Mariño

It presents the unitary time evolution operator and its integral kernel in the space representation, also known as the quantum-mechanical propagator. It introduces the resolvent operator and its analytical properties, and it discusses in some detail scattering theory in one dimension.

Cambridge University Press eBooks•Dec 2, 2021•0 citations

N-body quantum scattering theory in two Hilbert spaces. I. The basic equations

Colston Chandler, Archie G. Gibson

Derivations are given for some transition and resolvent operator equations for multichannel quantum scattering with short-range potentials. The basic difference between these and previous equations is that the unknown operators act only on the channel subspaces. This is made possible by utilizing, and extending, the two-Hilbert-space formulation previously given by the authors [in J. Math. Phys. 14, 1328 (1973)]. The equations in abstract form are of the Lippmann–Schwinger type, differing only in the appearance of certain injection operators from one Hilbert space to the other. When applied to multichannel quantum scattering, the abstract theory yields a new system of equations for the transition and resolvent operators. Uniqueness of the solution to the equations is proved.

Journal of Mathematical Physics•Dec 1, 1977•42 citations
Derivations are given for some transition and resolvent operator equations for multichannel quantum scattering with short-range potentials. The basic difference between these and previous equations is that the unknown operators act only on the channel subspaces. This is made possible by utilizing, and extending, the two-Hilbert-space formulation previously given by the authors [in J. Math. Phys. 14, 1328 (1973)]. The equations in abstract form are of the Lippmann–Schwinger type, differing only in the appearance of certain injection operators from one Hilbert space to the other. When applied to multichannel quantum scattering, the abstract theory yields a new system of equations for the transition and resolvent operators. Uniqueness of the solution to the equations is proved.