Marian Apostol's Books

Physical Kinetics

By: Marian Apostol

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This book presents the subject of physical kinetics from an original and unique angle, by deriving the Boltzmann equation from atomic motion, making extensive use of Landau’s concept of elementary excitations. It includes external forces, besides statistical motion, in its treatment of the subject wherever relevant. It also details the kinetic theory of classical gas and its transport, devoting special attention to the classical plasma. In addition, the book emphasises the role played by the anharmonic interactions in the lifetime of phonons, and presents the basic features of superconductivity and superfluidity.

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Page Count

440

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527542319

ISBN 13

9781527542310

Many-body Theory

Normal Fermi Liquid

By: Marian Apostol

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Many-body Theory

Normal Fermi Liquid

By: Marian Apostol

The interaction of bodies blurs the concept of independent particles. This book presents a way of accommodating the interaction in ensembles of many interacting fermions, like electrons in solids, or H e 3 at low temperatures. The theory of interacting fermions at zero temperatures is described, and its application to the quasiparticle picture is thoroughly investigated, with the aim of relating Landau's theory of the normal Fermi liquid to the quantum-mechanical interaction effects. The reader should have a background knowledge of quantum mechanics, statistical physics and quantum-field theory. The book derives the phenomenological interaction function of the normal Fermi liquid from the underlying fermion interaction, and presents specific calculations of the relevant quantities. In particular, the validity of the quasiparticle concept is investigated, and quantitative limits are given. An estimation of the ground-state energy and the chemical potential is presented, which is a long-standing problem in this phenomenological theory.

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Page Count

215

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1036411893

ISBN 13

9781036411893

Statistical Physics

By: Marian Apostol

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Statistical Physics

By: Marian Apostol

This book explores statistical physics, with an emphasis on the distinct character of the statistical motion and difficult subjects, related, mainly, to condensed matter. It discusses the interaction problem in real gases, as well as dimensionality effects and melting. The book shows how to estimate easily the critical temperature of the Ising ferromagnets, the origin of the drag force, how to get an inverse-wind vortex in turbulence, the entropy of the earthquakes, and how the gas-liquid transition occurs. It also describes the hadronization of the quark-gluon plasma, the phase diagram of the quantum chromodynamics, and the thermodynamics of black holes.

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Page Count

330

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

152757492X

ISBN 13

9781527574922

Equations of Mathematical Physics

By: Marian Apostol

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Equations of Mathematical Physics

By: Marian Apostol

The differential equations of mathematical physics have a twofold character: their physical content and their mathematical solutions. This book discusses the basic tools of theoretical physicists, applied mathematicians, and engineers, providing detailed insights into linear algebra, Fourier transforms, special functions, Laplace and Poisson, diffusion and vector equations. These basic tools are a set of methods and techniques, known as the equations of mathematical physics. At first sight, they look like a collection of disparate things. Many students in theoretical physics perceive them as strange, autonomous, inflexible, and ultimately unknown objects, whose sole use resides in their being applied to solving usually standard physical problems. While mathematicians are oriented towards empty generalizations and the so-called mathematical rigour, theoretical physicists often limit themselves to giving a set of recipes and examples. Both succeed in producing large, heavy tomes, which are, to a large extent, useless. The only exception seems to be Sommerfeld’s Partielle Differentialgleichungen der Physik, which, however, is rather limited to a restricted list of subjects. The physical nature and origin of the equations of mathematical physics is emphasized in this book, and their various elements and great flexibility are described. The book reveals the indissoluble connection between physical ideas and mathematical concepts, and how these visions can be transcribed into accurate mathematics.

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Page Count

250

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527520722

ISBN 13

9781527520721

Singular Equations of Waves and Vibrations

By: Marian Apostol

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Singular Equations of Waves and Vibrations

By: Marian Apostol

This book presents an exploration of the wave and vibration equation in one, two and three dimensions, with emphasis on singular solutions. The distinction between the wave treatment and the vibration treatment is particularly discussed with the causality principle being the leading principle for waves in this context. The necessity of regularization of the singular solutions is presented whilst the scattered waves are differentiated from the reflected (and refracted) waves, according to Huygens principle. The physical content of the wave equation is underlined. Relevant applications are included and some more exotic phenomena are discussed, such as pulses, tsunami and storm breakers, the ringing of bells and the collapsing of towers, and classical waves and vibrations in an elastic half-space or a sphere. This book is oriented to students, instructors, teachers, researchers in physics and applied mathematics, as well as engineers and other practitioners of mathematical physics.

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Page Count

199

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527504972

ISBN 13

9781527504974

Magnetic and Electric Resonance

By: Marian Apostol

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Magnetic and Electric Resonance

By: Marian Apostol

This book is devoted to a quasi-classical treatment of quantum transitions, with an emphasis on nuclear magnetic resonance, nuclear quadrupole resonance and electric dipolar resonance. The method described here is based on the quasi-classical description of condensed matter, and makes use of the equation of motion of harmonic oscillators with external forces. In addition to known results in magnetic resonance, the book also presents parametric resonance for electric dipoles and dipolar interaction which may lead to spontaneous electric polarization.

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Page Count

348

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527514943

ISBN 13

9781527514942

Singular Equations of Waves and Vibrations

By: Marian Apostol

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Singular Equations of Waves and Vibrations

By: Marian Apostol

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Page Count

199

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527504972

ISBN 13

9781527504974

Many-body Theory

Normal Fermi Liquid

By: Marian Apostol

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Many-body Theory

Normal Fermi Liquid

By: Marian Apostol

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Page Count

215

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1036411893

ISBN 13

9781036411893

Magnetic and Electric Resonance

By: Marian Apostol

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Magnetic and Electric Resonance

By: Marian Apostol

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Solve jigsaw puzzle

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Page Count

348

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1527514943

ISBN 13

9781527514942

Book's by Marian Apostol

Physical Kinetics

Physical Kinetics

Many-body Theory

Many-body Theory

Statistical Physics

Statistical Physics

Equations of Mathematical Physics

Equations of Mathematical Physics

Singular Equations of Waves and Vibrations

Singular Equations of Waves and Vibrations

Magnetic and Electric Resonance

Magnetic and Electric Resonance

Singular Equations of Waves and Vibrations

Singular Equations of Waves and Vibrations

Many-body Theory

Many-body Theory

Magnetic and Electric Resonance

Magnetic and Electric Resonance

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