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Collective Classical And Quantum Fields: In Plasmas, Superconductors, Superfluid 3he, And Liquid Crystals (Hardcover)
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Collective Classical And Quantum Fields: In Plasmas, Superconductors, Superfluid 3he, And Liquid Crystals (Hardcover)
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This is an introductory book dealing with collective phenomena in
many-body systems. A gas of bosons or fermions can show
oscillations of various types of density. These are described by
different combinations of field variables. Especially delicate is
the competition of these variables. In superfluid 3He, for example,
the atoms can be attracted to each other by molecular forces,
whereas they are repelled from each other at short distance due to
a hardcore repulsion. The attraction gives rise to Cooper pairs,
and the repulsion is overcome by paramagnon oscillations. The
combination is what finally led to the discovery of superfluidity
in 3He. In general, the competition between various channels can
most efficiently be studied by means of a classical version of the
Hubbard-Stratonovich transformation.A gas of electrons is
controlled by the interplay of plasma oscillations and pair
formation. In a system of rod- or disc-like molecules, liquid
crystals are observed with directional orientations that behave in
unusual five-fold or seven-fold symmetry patterns. The existence of
such a symmetry was postulated in 1975 by the author and K Maki. An
aluminium material of this type was later manufactured by Dan
Shechtman which won him the 2014 Nobel prize. The last chapter
presents some solvable models, one of which was the first to
illustrate the existence of broken supersymmetry in nuclei.
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