Share on TelegramA Method For Studying Model Hamiltonians – A Minimax Principle For Problems In Statistical Physics
Author: N. N. Bogolyubov Jr.
Added by: mirtitles
Added Date: 2022-03-02
Language: eng
Subjects: physics, statistical physics, model hamiltonians, fermions, interactions, quantum mechanics, minimax principle
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Pages Count: 300
PPI Count: 300
PDF Count: 1
Total Size: 59.91 MB
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Description
In this book methods are proposed for solving certain problems in statistical physics which contain four-fermion interaction.
It has been possible, by means of “approximating (trial) Hamil tonians”, to distinguish a whole class of exactly soluble model systems. An essential difference between the two types of problem with positive and negative four-fermion interaction is discovered and examined. The determination of exact solutions for the free energies, single-time and many-time correlation functions, T-products and Green’s functions is treated for each type of problem.
The more general problem for which the Hamiltonian contains some terms with positive and others with negative four-fermion interaction is also investigated. On the basis of analysing and general izing the results of Chapters 1 to 3, it becomes possible to formulate and develop a new principle, the minimax principle, for problems in statistical physics (Chapter 4).
