|
Wick products of the CAR algebra
Author(s):
E.
R.
Negrin
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3639-3645.
MSC (1991):
Primary 81T08
MathSciNet review:
1623044
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
The purpose of this paper is to put in a precise mathematical (algebraic) form the Wick products of the CAR algebra. We state in detail the reduction of the ordinary product of Fermi fields in terms of a finite sum of monomials in the creation and annihilation operators in which all creation operators occur to the left of all annihilation operators (Wick-ordered) and the Fock (vacuum) state of the former.
References:
- 1.
- J. C. Baez, I. E. Segal and Z. Zhou, ``Introduction to Algebraic and Constructive Quantum Field Theory", Princeton Univ. Press, Princeton, NJ, 1992.
- 2.
- J. D. Bjorken and S. D. Drell, ``Relativistic Quantum Fields", McGraw-Hill, NY, 1965. MR 32:5092
- 3.
- N. N. Bogoliubov and D. V. Shirkov, ``Quantum Fields", Benjamin/Cummings Pub. Co., Reading, MA, 1983. MR 85g:81096
- 4.
- F. J. Dyson, The Radiation Theories of Tomonaga, Schwinger, and Feynman, Phys. Rev. (3) 75 (1949), 486-502. MR 10:418a
- 5.
- C. Itzykson and J.-B. Zuber, ``Quantum Field Theory", McGraw-Hill, NY, 1980. MR 82h:81002
- 6.
- P. E. T. Jorgensen and G. L. Price, Index Theory and Second Quantization of Boundary Value Problems, J. Funct. Anal. 104 (1992), 243-290.
- 7.
- I. E. Segal, Quantized Differential Forms, Topology 7 (1968), 147-172. MR 38:1113
- 8.
- I. E. Segal, Nonlinear Functions of Weak Processes I, J. Funct. Anal. 4 (1969), 404-456. MR 40:2309
- 9.
- G. C. Wick, The evaluation of the collision matrix, Phys. Rev. (2) 80 (1950), 268-272. MR 12:380d
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
81T08
Retrieve articles in all Journals with
MSC (1991):
81T08
Additional Information:
E.
R.
Negrin
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 Canary Islands, Spain
Email:
enegrin@ull.es
DOI:
10.1090/S0002-9939-98-05028-X
PII:
S 0002-9939(98)05028-X
Keywords:
Wick-ordered, vacuum state, Fermi field, CAR algebra
Received by editor(s):
November 19, 1996
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
|
