Abstract
There exists a formulation of a dynamical physical system that is particularly suitable for the handling of systems with infinitely many degrees of freedom, which is the case after having taken the thermodynamic limit. It is particularly handy for the study of the collective phenomena. This formulation is sometimes called the algebraic approach to statistical mechanics and field theory. Extensive mathematical and technical information about this approach can be found in Bratteli, Robinson (1979). For a book with a view focused on the applications in many body systems we refer, as one example, to Sewell (1986).
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References
Bratteli O., Robinson D.W.: Operator algebras and statistical mechanics I, II, (I) 1979, (II, 2nd Edition) 1996, Springer-Verlag, Berlin Heidelberg New York
Sewell G.L.: Quantum theory of collective phenomena, Oxford University Press, 1986; second edition 1989
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Verbeure, A.F. (2011). Appendix. In: Many-Body Boson Systems. Theoretical and Mathematical Physics. Springer, London. https://doi.org/10.1007/978-0-85729-109-7_7
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DOI: https://doi.org/10.1007/978-0-85729-109-7_7
Publisher Name: Springer, London
Print ISBN: 978-0-85729-108-0
Online ISBN: 978-0-85729-109-7
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