Aspects Of Polaron Theory: Equilibrium And Nonequilibrium Problems

Aspects Of Polaron Theory: Equilibrium And Nonequilibrium Problems
Author: Nickolai N Bogolubov Jr
Publisher: World Scientific
Total Pages: 183
Release: 2008-09-15
Genre: Science
ISBN: 9814470104

The linear polaron model is an excellent example of an exactly soluble, yet nontrivial polaron system. It serves as a trial system or zero-level approximation in many sophisticated methods of polaron investigation. This book analyzes, in particular, the possibility of reduction of the full polaron Hamiltonian to the linear one, and introduces a special method of calculating thermodynamical characteristics based on the calculation of the averages of T-products. This T-product formalism seems to be a more convenient way of doing similar calculations involving Feynman's path integral approach.This book follows a step-by-step approach, from comparatively simple physical ideas to a clear understanding of sophisticated mathematical tools of investigation in modern polaron physics. The reader is able to compare the physical point of view with methods proposed in the book, and at the same time grasp the underlying mathematics.Some familiarity with quantum statistical mechanics is desirable in reading this book.

Aspects of Polaron Theory

Aspects of Polaron Theory
Author: Nickolai N. Bogolubov Jr
Publisher: World Scientific
Total Pages: 183
Release: 2008
Genre: Science
ISBN: 9812833986

The linear polaron model is an excellent example of an exactly soluble, yet nontrivial polaron system. It serves as a trial system or zero-level approximation in many sophisticated methods of polaron investigation. This book analyzes, in particular, the possibility of reduction of the full polaron Hamiltonian to the linear one, and introduces a special method of calculating thermodynamical characteristics based on the calculation of the averages of T-products. This T-product formalism seems to be a more convenient way of doing similar calculations involving Feynman's path integral approach.This book follows a step-by-step approach, from comparatively simple physical ideas to a clear understanding of sophisticated mathematical tools of investigation in modern polaron physics. The reader is able to compare the physical point of view with methods proposed in the book, and at the same time grasp the underlying mathematics.Some familiarity with quantum statistical mechanics is desirable in reading this book.

Polaron Theory

Polaron Theory
Author: N. N. Bogolubov Jr.
Publisher: CRC Press
Total Pages: 268
Release: 2000-05-17
Genre: Science
ISBN: 9789056991623

Beginning with an introduction to the T-product approach in the theory of a particle interacting with bosonic fields as applied, for example, to the linearized polaron model, the book goes on to deal with the equilibrium state objective being to derive Bogolubov's inequality for the reduced free energy of the polaron. The third chapter deals with some problems related to the non-equilibrium polaron theory, including polaron kinetics. Finally, alternative methods used in polaron theory are also presented and compared with Bogolubov's method.

Problems of Linear Electron (Polaron) Transport Theory in Semiconductors

Problems of Linear Electron (Polaron) Transport Theory in Semiconductors
Author: M. I. Klinger
Publisher: Elsevier
Total Pages: 950
Release: 2017-05-04
Genre: Science
ISBN: 1483158195

Problems of Linear Electron (Polaron) Transport Theory in Semiconductors summarizes and discusses the development of areas in electron transport theory in semiconductors, with emphasis on the fundamental aspects of the theory and the essential physical nature of the transport processes. The book is organized into three parts. Part I focuses on some general topics in the theory of transport phenomena: the general dynamical theory of linear transport in dissipative systems (Kubo formulae) and the phenomenological theory. Part II deals with the theory of polaron transport in a crystalline semiconductor. The last part contains a critical account of electron transport in disordered systems, including amorphous substances, with allowance for polaron effects.

Quantum Matter at Ultralow Temperatures

Quantum Matter at Ultralow Temperatures
Author: M. Inguscio
Publisher: IOS Press
Total Pages: 590
Release: 2016-09-27
Genre: Science
ISBN: 1614996946

The Enrico Fermi summer school on Quantum Matter at Ultralow Temperatures held on 7-15 July 2014 at Varenna, Italy, featured important frontiers in the field of ultracold atoms. For the last 25 years, this field has undergone dramatic developments, which were chronicled by several Varenna summer schools, in 1991 on Laser Manipulation of Atoms, in 1998 on Bose-Einstein Condensation in Atomic Gases, and in 2006 on Ultra-cold Fermi Gases. The theme of the 2014 school demonstrates that the field has now branched out into many different directions, where the tools and precision of atomic physics are used to realise new quantum systems, or in other words, to quantum-engineer interesting Hamiltonians. The topics of the school identify major new directions: Quantum gases with long range interactions, either due to strong magnetic dipole forces, due to Rydberg excitations, or, for polar molecules, due to electric dipole interactions; quantum gases in lower dimensions; quantum gases with disorder; atoms in optical lattices, now with single-site optical resolution; systems with non-trivial topological properties, e.g. with spin-orbit coupling or in artificial gauge fields; quantum impurity problems (Bose and Fermi polarons); quantum magnetism. Fermi gases with strong interactions, spinor Bose-Einstein condensates and coupled multi-component Bose gases or Bose-Fermi mixtures continue to be active areas. The current status of several of these areas is systematically summarized in this volume.

Proceedings of 3rd Edition of International conference on Advanced Spectroscopy, Crystallography and Applications in Modern Chemistry 2018

Proceedings of 3rd Edition of International conference on Advanced Spectroscopy, Crystallography and Applications in Modern Chemistry 2018
Author: EuroScicon
Publisher: EuroScicon
Total Pages: 76
Release: 2018-05-29
Genre: Science
ISBN:

June 04-05, 2018 London, UK Key Topics : Chemical Crystallography, Advanced Crystallography, Crystallography Of Novel Materials, Spectroscopy, Spectroscopy Applications, Crystal Growth, Precession Electron Diffraction (PED), Nuclear Magnetic Resonance Crystallography (NMR Crystallography), Electron Crystallography, Recent Development In The X-Ray Studies, Crystallography Applications, Advances In Neutron Diffraction, Biological Structure Determination, Crystallography In Biology, Application Of Modern Chemistry,

Polarons and Excitons in Polar Semiconductors and Ionic Crystals

Polarons and Excitons in Polar Semiconductors and Ionic Crystals
Author: J.T. Devreese
Publisher: Springer Science & Business Media
Total Pages: 483
Release: 2013-06-29
Genre: Science
ISBN: 1461326931

The 1982 Antwerp Advanced Study Institute on "Physics of Polarons and Excitons in Polar Semiconductors and Ionic Crystals" took place from July 26 till August 5 at the Conference Center Priorij Corsen donk, a restored monastery, close to the city of Antwerp. It was the seventh Institute in our series which started in 1971. This Advanced Study Institute, which was held fifty years after Landau introduced the polaron concept, can be considered as the third major international symposium devoted to the physics of pola rons. The first such symposium took place in St. Andrews in 1962 under the title "Polarons and Excitons" [I]. The early theoretical developments related to polarons were reviewed in depth at this meeting; the derivation of the polaron hamiltonian by Frohlich, the Frohlich weak coupling theory (and the equivalent weak coupling canonical transformations), the Landau-Pekar and Bogolubov strong coupling theory and the Feynman polaron model formulated with his path integrals. The main emphasis was on the polaron self-energy, effective mass and mobility. From the experimental side the first evidence for polaron effects was provided by the pioneering cyclotron and mobility measurements o~ the silver halides by F. e. Brown and his group. Also the significance of polaron effects for the under standing of excitons in ionic crystals was a central topic in St. Andrews. The second Advanced Study Institute concerning polaron physics was organized at the University of Antwerp (R. U. C. A.