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Zaitsev R.O.

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    Diagrammatic method in the theory superconductivity and ferromagnetism

    S/130.00

    168 páginas

    Diagrammatic methods are applied to strongly interacting electron systems. Several problems are studied in the atomic representation. It is assumed that electron-electron interaction in an atom is stronger that the interaction between electrons belonging to different atoms. The theory of high-temperature superconductivity is considered in the Hubbard model. Then the theory of ferromagnetism in transition metals is also presented.

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    Introduction to Modern Kinetic Theory: A Set of Lectures

    S/200.00

    520 páginas

    The proposed Lectures supplement the course by Landau and Lifshitz with some new sections, without which it is impossible to solve the problems in modern theoretical physics.

    This book consists of Lectures which the author has been reading in Moscow Institute of Physical Technology since 2003. The first six Lectures present the traditional university course of physical kinetics. The transport equations for ideal Fermi and Bose gases are considered. In other Lectures non-ideal systems are considered on the basis of two-component Green’s functions. Non-equilibrium properties of metals, dielectrics, and superconductors are studied in the framework of this method. The non-stationary Ginzburg—Landau equation is derived. The theory of stationary tunneling phenomena and the non-stationary Josephson effect are considered.

    The linear and non-linear theories of noise in electric circuits are studied. The equations which allow to determine low frequency asymptotic of non-linear four-current correlator (the so called $1/f^{\alpha}$ noise) are obtained.

    The book is intended for researches, graduate and undergraduate students studying physical kinetics.

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    Introduction to Modern Statistical Physics: A Set of Lectures

    S/170.00

    416 páginas

    The aim of this book is to add certain new topics to the material of the famous textbook “Statistical physics” by L.D.Landau and E.M.Lifshitz.

    High-temperature corrections to the thermodynamic potential are calculated by employing ring diagrams and also by expanding in powers of the gas parameter.

    The universality hypothesis gives a possibility to calculate critical exponents in the framework of perturbation theory. Summation of the most strongly diverging diagrams yields parquet equations. Solving these equations, the singular specific heat and magnetic susceptibility are determined in the (4–epsilon)-dimensional space.

    The gradient-invariant microscopic equations which describe a superconducting state are derived. Using these equations, the Ginsburg—Landau equations together with the microscopic boundary conditions are obtained. The critical magnetic field of forming superconducting nuclei is calculated.

    The tunneling effects between two superconductors (the Josephson effect) and also between a superconductor and a normal metal are studied. The microscopic description of the Meissner effect, calculation of the spin susceptibility in a superconductor (the Knight shift) are given.

    The book is intended for researchers, graduate and undergraduate students studying the theory of condensed matter.

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