New PDF release: The Dielectric Function of Condensed Systems

By L.V. KELDYSH, D.A. KIRZHNITZ and A.A. MARADUDIN (Eds.)

ISBN-10: 044487366X

ISBN-13: 9780444873668

A lot growth has been made within the realizing of the final homes of the dielectric functionality and within the calculation of this volume for lots of periods of media. This quantity gathers jointly the significant details to be had and provides a close evaluate of the current prestige of the idea of electromagnetic reaction services, while concurrently overlaying a variety of difficulties in its software to condensed subject physics. the subsequent topics are lined: - the dielectric functionality of the homogeneous electron gasoline, of crystalline platforms, and of inhomogeneous subject; - electromagnetic fluctuations and molecular forces in condensed subject; - electrodynamics of superlattices

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Download e-book for iPad: The Dielectric Function of Condensed Systems by L.V. KELDYSH, D.A. KIRZHNITZ and A.A. MARADUDIN (Eds.)

A lot growth has been made within the figuring out of the overall houses of the dielectric functionality and within the calculation of this volume for plenty of sessions of media. This quantity gathers jointly the enormous info on hand and provides a close assessment of the current prestige of the idea of electromagnetic reaction capabilities, when at the same time overlaying quite a lot of difficulties in its software to condensed subject physics.

Extra info for The Dielectric Function of Condensed Systems

Example text

Formula (39) is quite general. However, it is based on the assumption that the explicit form of the current density operator does not change when the external field is turned on. But this assumption, which is valid in the relativistic theory of Fermi particles breaks down, as is known, when the nonrelativistic approach is used. V. 28 Keldysh and p(r, t) with the coinciding times, which was also used in the derivation of (38), breaks down simultaneously. Therefore, strictly speaking, formulas (38) and (39) should be taken as the formulas of the relativistic theory with the corresponding form of the operators j and set of states, including the creation of electron-positron pairs.

With account taken of spatial dispersion there is no need to average the electrodynamic quantities over a physically infinitesimal volume and, accordingly, the values of the physical quantities included in the apparatus of macroscopic electrodynamics must be regarded as averages only in the statistical and quantum-mechanical sense (see below). The microstructure of a medium remains rough, and manifests itself in a complicated and irregular dependence of the response functions on fc, and the average values are no longer meaningless at large values of k, as was the case with the averaging over a small volume.

While being correlation functions, though of a very special type, the response functions are intimately connected with the correlation of fluctuations of the corresponding physical quantities in the medium. Under the conditions of thermodynamic equilibrium at a temperature Τ this relation is of a universal nature established by the CullenWelton theorem Kaß(r, Γ'; ω ) - drre itt>T è T r { [ ; e ( r , τ) ]ß{r\ 0) + / ß ( r \ 0 ) y e ( r , t)]ä„(T)} (45) This relation is a direct consequence of the general expression (40) for the response function written in the form (51) below.

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The Dielectric Function of Condensed Systems by L.V. KELDYSH, D.A. KIRZHNITZ and A.A. MARADUDIN (Eds.)


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