Annemarie Kleinert
Michael 'Ruby' Kästner
Michael 'Ruby' Kästner
Description: This is the homepage of Prof. Dr. Dr. h.c. Hagen Kleinert. Read his famous textbooks on Path Integrals, Multivalued Fields, Critical Phenomena, Defects, and quantum field theory here.
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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 densities. 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 pa
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 w
Annemarie Kleinert
Michael 'Ruby' Kästner
Michael 'Ruby' Kästner