Third quantization
Journal Article
·
· AIP Conference Proceedings
- Instituto de Ciencias Fisicas Universidad Nacional Autonoma de Mexico, Cuernavaca (Mexico)
- Department of physics, FMF, University of Ljubljana, Ljubljana (Slovenia)
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.
- OSTI ID:
- 21511344
- Journal Information:
- AIP Conference Proceedings, Vol. 1323, Issue 1; Conference: Symposium on symmetries in nature in memoriam Marcos Moshinsky, Cuernavaca (Mexico), 7-14 Aug 2010; Other Information: DOI: 10.1063/1.3537859; (c) 2010 American Institute of Physics; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Problems in the quantization of quadratic Hamiltonians
Adjoint QCD{sub 1+1} in light-cone gauge, quantized at equal time
Quantum groups as generalized gauge symmetries in WZNW models. Part II. The quantized model
Conference
·
Wed Apr 01 00:00:00 EST 1981
· Hadronic J.; (United States)
·
OSTI ID:21511344
Adjoint QCD{sub 1+1} in light-cone gauge, quantized at equal time
Journal Article
·
Fri Apr 01 00:00:00 EST 2005
· Annals of Physics (New York)
·
OSTI ID:21511344
Quantum groups as generalized gauge symmetries in WZNW models. Part II. The quantized model
Journal Article
·
Sat Jul 15 00:00:00 EDT 2017
· Physics of Particles and Nuclei
·
OSTI ID:21511344
Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BOSONS
DENSITY
EQUILIBRIUM
FERMIONS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
OPEN CONFIGURATIONS
SECOND QUANTIZATION
MAGNETIC FIELD CONFIGURATIONS
MATHEMATICS
PHYSICAL PROPERTIES
QUANTIZATION
SPACE
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BOSONS
DENSITY
EQUILIBRIUM
FERMIONS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
OPEN CONFIGURATIONS
SECOND QUANTIZATION
MAGNETIC FIELD CONFIGURATIONS
MATHEMATICS
PHYSICAL PROPERTIES
QUANTIZATION
SPACE