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

Atlantis studies in mathematical physics

Lecture 11: Time Independent Formalisms. Flux-Across Surfaces. Enss Method. Inverse Scattering

Gianfausto Dell’Antonio

Published Jan 1, 2016• 0 citations
Publisher

Abstract

At the beginning of Lecture 10 we have remarked that scattering Theory in Quantum as in Classical Mechanics, describes those effects of the interaction of a system of N particles which can be measured when the components of the system have become spatially separated so that the mutual interactions have become negligible. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

DOI
10.2991/978-94-6239-115-4_11

Related papers

Lecture 10: Scattering Theory. Time-Dependent Formalism. Wave Operators

Gianfausto Dell’Antonio

Scattering theory, in Quantum as in Classical Mechanics, describes those effects of the interaction of a system of N particles which can be measured when the components of the system have become spatially separated so that they can be uniquely identified and the mutual interactions have become negligible. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Atlantis studies in mathematical physics•Jan 1, 2016•0 citations

Moving Potentials and the Completeness of Wave Operators. Part II: Propagating Observables on Scattering States

Hagen Neidhardt

The paper is devoted to the time evolution of the position and impulse operators as well as certain functions of them, for example the dilation and classical kinetic energy operator, in quantum mechanical scattering theory with time-dependent and travelling along fixed trajectories long range potentials. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Birkhäuser Basel eBooks•Jan 1, 1990•2 citations

Lecture 2: Elements of the History of Quantum Mechanics II

Gianfausto Dell’Antonio

We mentioned in chapter “ Lecture 1: Elements of the History of Quantum Mechanics I ” that a line of research was centered on finding relations between the structure of the energy levels and the frequency of the emitted radiation and on describing the scattering from a dipole. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Atlantis studies in mathematical physics•Jan 1, 2015•0 citations

Scattering Theory II

Nandita Rudra

In this chapter we deal with formal theory of scattering. We start with the scattering process in a time independent formulation. The Hamiltonian is assumed to be given as usual by

CRC Press eBooks•Aug 19, 2019•0 citations

Lecture 12: The Method of Enss. Propagation Estimates. Mourre Method. Kato Smoothness, Elements of Algebraic Scattering Theory

Gianfausto Dell’Antonio

In this lecture we give more details of an alternative approach to quantum scattering theory, initiated by V. Enss, This approach is based on a geometric analysis of the behavior for \(t \rightarrow \pm \infty \) of the solutions of Schroedinger’s equation for initial data in the subspace of absolute continuity for the hamiltonian H . These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Atlantis studies in mathematical physics•Jan 1, 2016•0 citations

INTRODUCTION TO THE QUANTUM MECHANICAL TIME-INDEPENDENT SCATTERING THEORY I: ONE-DIMENSIONAL SCATTERING

Pier A. Mello, Narendra Kumar

Oxford University Press eBooks•May 20, 2004•0 citations
At the beginning of Lecture 10 we have remarked that scattering Theory in Quantum as in Classical Mechanics, describes those effects of the interaction of a system of N particles which can be measured when the components of the system have become spatially separated so that the mutual interactions have become negligible. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
In this lecture we give more details of an alternative approach to quantum scattering theory, initiated by V. Enss, This approach is based on a geometric analysis of the behavior for t→±∞t \rightarrow \pm \infty t→±∞ of the solutions of Schroedinger’s equation for initial data in the subspace of absolute continuity for the hamiltonian H . These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.