Axiomatic Scattering Theory

V.A. Fateev, A. S. Shvart︠s︡

Storrs McCall

敏夫 加藤, 成俊 黒田

Nikolay Leonidovich Chuprikov

This paper identifies and fixes two gaps in the axiomatics of modern quantum mechanics. The first arises from the unjustified application of the superposition principle in modern quantum scattering theory. The second arises from the incompleteness of the Born interpretation of the wave function.

H. Ekstein

This paper is a contribution to the discussion of the question: to what extent does the scattering matrix determine the Hamiltonian? The Hamiltonians considered are nonrelativistic, but in extension of previous studies, "nonlocal" potentials and many-body potentials are allowed. A large class of unitary transformations is found which produce Hamiltonians leading to the same $S$ matrix. In the last section, it is shown that this equivalence is only a special consequence of the general axiomatic formulation of scattering in field theory.