Inclusive scattering matrix and scattering of quasiparticles

Abstract

The quantum theory can be formulated in the language of positive functionals on Weyl or Clifford algebra ($L$-functionals). It is shown that this language gives simple understanding of diagrams of Keldysh formalism (that coincide in our case with the diagrams of thermo-field dynamics). The matrix elements of the scattering matrix in the formalism of $L$-functionals are related to inclusive cross-sections, therefore we suggest the name "inclusive scattering matrix" for this notion. The inclusive scattering matrix can be expressed in terms of on-shell values of generalized Green functions. This notion is necessary if we want to analyze collisions of quasiparticles.

15 pages

References in corpus (1)

• Scattering matrix and inclusive scattering matrix in algebraic quantum field theory

Cited by in corpus (1)

• Geometric and algebraic approaches to quantum theory