Collisions for the quantum Coulomb Hamiltonian

Gérard C, Knauf A (1991)


Publication Type: Journal article, Original article

Publication year: 1991

Journal

Publisher: Springer Verlag (Germany)

Book Volume: 143

Pages Range: 17-26

Journal Issue: 1

DOI: 10.1007/BF02100283

Abstract

We study the propagation of phase space singularities for the time dependent Schrödinger equation with potential having Coulomb-type singularities in space dimension equal tothree. We prove that the singularities (frequency set) of the solution are reflected by a Coulomb center exactly as in the classical problem, i.e. the frequency set follows theregularized trajectories of Classical Mechanics after a collision.

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APA:

Gérard, C., & Knauf, A. (1991). Collisions for the quantum Coulomb Hamiltonian. Communications in Mathematical Physics, 143(1), 17-26. https://dx.doi.org/10.1007/BF02100283

MLA:

Gérard, Claude, and Andreas Knauf. "Collisions for the quantum Coulomb Hamiltonian." Communications in Mathematical Physics 143.1 (1991): 17-26.

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