Inclusive scattering matrix and scattering of quasiparticles
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 elem...
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Elsevier
2020-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319303554 |
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doaj-9475af2cfbc445aba400960872418ac92020-11-25T01:16:34ZengElsevierNuclear Physics B0550-32132020-01-01950Inclusive scattering matrix and scattering of quasiparticlesA. Schwarz0Department of Mathematics, University of California, Davis, CA 95616, USAThe 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.http://www.sciencedirect.com/science/article/pii/S0550321319303554 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. Schwarz |
| spellingShingle |
A. Schwarz Inclusive scattering matrix and scattering of quasiparticles Nuclear Physics B |
| author_facet |
A. Schwarz |
| author_sort |
A. Schwarz |
| title |
Inclusive scattering matrix and scattering of quasiparticles |
| title_short |
Inclusive scattering matrix and scattering of quasiparticles |
| title_full |
Inclusive scattering matrix and scattering of quasiparticles |
| title_fullStr |
Inclusive scattering matrix and scattering of quasiparticles |
| title_full_unstemmed |
Inclusive scattering matrix and scattering of quasiparticles |
| title_sort |
inclusive scattering matrix and scattering of quasiparticles |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 |
| publishDate |
2020-01-01 |
| description |
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. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321319303554 |
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AT aschwarz inclusivescatteringmatrixandscatteringofquasiparticles |
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