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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

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

Eduard Prugovečki

Published Jul 1, 1971• 10 citations
Publisher
DOI
10.1007/bf02737570

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A time-dependent multichannel nonrelativistic quantum scattering theory is established for systems which contain identical particles. The symmetry properties of the theory are rooted in the abstract algebraic relationships between permutations. The formalism of second quantization is thus avoided. Appropriate wave and scattering operators are defined, including those for systems with long range (e.g., Coulomb) interactions. A correctly symmetrized dynamical equation for the symmetric form of the transition operator is derived and used to develop an optical potential formalism.NUCLEAR REACTIONS Nonrelativistic multichannel scattering theory for identical particles, wave and scattering operators, dynamical equations, optical potentials.