The Method of Second Quantization

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The Method of Second Quantization
F. A. Berezin, Nobumichi Mugibayashi, Alan Jeffrey

Publisher: Aca..de..mic Press 1966 | 228 Pages | ISBN: 0120894505 | DJVU | 2 MB

In problems of quantum mechanics dealing with an indefinite number of particles, mainly in field theory and quantum statistics, the use of the so-called method of second quantization is customary.
This method arose almost at the same time as the definitive mathematical formulation of quantum mechanics in the works of Dirac, Fock, Jordan, and Wigner,1 but only recently has it begun to be developed intensively.
This delay is apparently connected with the fact that the mathematical problems occurring in the method of second quantization are somewhat removed from the traditional problems of mathematical physics which are formulated in terms of partial differential equations. In particular, major roles in the method of second quantization are taken by purely algebraic questions, strange to classical mathematical physics, which are close to the representation theory of Lie groups, and by some questions in measure theory. Most attention in this book is paid to this aspect of the method of second quantization
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