Time-independent nonrelativistic collision theory

Reiner M. Dreizler, Tom Kirchner, Cora S. Lüdde

BERTRAND G. GIRAUD

Yasuhisa Abe, BERTRAND G. GIRAUD

V.S. Ol'khovskii

The notion of collision duration and properties of the symmetrical time operator in the nonrelativistic quantum mechanics are investigated. Using the theory of genenalized extensions of symmetrical operators, a conclusion is made: not only self-adjoint but also maximal symmetrical operators can correspond to the observables in the quantum mechanics. (auth)

Fritz Gesztesy

John R. Taylor

It is generally assumed that experiments which are sufficiently separated in space or time should be mutually independent. In scattering theory this independence is expressed by the cluster decomposition of the S matrix. It has been proved by Hunziker that for experiments which are separated in space the cluster property does hold in nonrelativistic scattering. The purpose of this paper is to prove the same result for experiments which are separated in time.