Dzyaloshinskii

A.A.Abrikosov,L.P.Gor kov, and I.E.Dzyaloshinskii Methods of Quantum Field Theory in Statistical Mechanics, (Dover, New York,1975). 

A. A. Abrikosov, L. P. Gor kov, I. Ye. Dzyaloshinskii. Quantum Field Theoretical Methods in Statistical Physics. Pergamon Press, Oxford, 1965. 

Dzyaloshinskii, I.E., Chemical Nature of the Pairing of Holes in High-Temperature Suprconductors. JETP Lett. 49(2) 142 (1989). 

Dzyaloshinskii (1964) belong to this category. The term modulated structures has been used to describe incommensurate perturbation (i.e. one in which the ratio of the imposed periodicity to that of the unit cell is irrational). A broader definition of modulated structure can be used to describe any periodic or partly periodic perturbation of a cystal structure with a repetition distance appreciably greater than the basic unit cell dimensions such a definition would include a variety of superstructures as well (Cowley et al, 1979). 

Keywords Magnetic resonance, symmetry analysis, Dzyaloshinskii-Moriya interaction,... 

Abrikosov A.A., Gorkov L.P., Dzyaloshinskii I.E. (1998) Metody kvantovoi teorii polya v statisticheskoi fizike (Methods of the quantum theory of a field in statistical physics). Moscow Dobrosvet. 514 p. 

I. E. Dzyaloshinskii, E. M. Lifshitz, and L. P. Pitaevskii, "The general theory of van der Waals forces," Adv. Phys., 10, 165 (1961), for the method, though applied only to a vacuum gap see also Chapter VIII, E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, Part 2 in Vol. 9 of Course of Theoretical Physics Series (Pergamon, Oxford, 1991) a systematic derivation of the full DLP result is given also in Chap. 6 of A. A. Abrikosov, L. P. Gorkov, Sc I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics, R. A. Silverman, trans. (Dover, New York, 1963). 

There is also another way the mesoscopic time evolution Equation (55) can be introduced. We collect a list of well-established (i.e., well tested with experimental observations) time evolution equations on many different levels of description and try to identify their common features. This is indeed the way the time evolution Equation (55) has been first introduced. The Hamiltonian structure of the nondissipative part has been discovered first in the context of hydrodynamics by Clebsch (1895). Equations of the type (55) have started to appear in Dzyaloshinskii and Volovick (1980) and later in... 

A.Abrikosov, L.Gor kov, I.Dzyaloshinskii. Methods of Quantum Field Theory in Statistical Physics, Dover, NY, 1963. 

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