Third quantization
Por:
Seligman T.H., Prosen T.
Publicada:
1 ene 2010
Categoría:
Physics and Astronomy (miscellaneous)
Resumen:
The basic ideas of second quantization and Fock space are extended to density operator states, used in treatments of open many-body systems. This can be done for fermions and bosons. While the former only requires the use of a non-orthogonal basis, the latter requires the introduction of a dual set of spaces. In both cases an operator algebra closely resembling the canonical one is developed and used to define the dual sets of bases. We here concentrated on the bosonic case where the unboundedness of the operators requires the definitions of dual spaces to support the pair of bases. Some applications, mainly to non-equilibrium steady states, will be mentioned. © 2010 American Institute of Physics.
Filiaciones:
Seligman T.H.:
Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Cuernavaca, Mexico
Centro Internacional de Ciencias, Cuernavaca, Morelos, Mexico
Prosen T.:
Department of Physics, FMF, University of Ljubljana, Ljubljana, Slovenia
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