Quantum Field Theoretic Techniques and the Electromagnetic Properties of a Uniformly Magnetized Electron Gas

Quantum Field Theoretic Techniques and the Electromagnetic Properties of a Uniformly Magnetized Electron Gas

Author: Leon A. Steinert

Publisher:

Published: 1964

Total Pages: 240

ISBN-13:

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Field theoretic operators for the charge, rho, and current J, densities of the electron gas were obtained using the Darwin Hamiltonian in 'second quantized' form.Temperature dependent Green's functions were formed from certain averaged combinations of the field creation and annihilation operators.Equations of motion were obtained for these Green's functions, and rho and j were written in terms of the Green's functions. In order that rho and j might be expressed explicitly in terms of the perturbing field, formal functional series expansions were obtained for rho and j in terms of the potentials.Connecting relations obtained from the requirements of gauge invariance and charge conservation were used to show the general result that rho and j reduce to functionals of the electric field alone.(Author Modified Abstract).


Quantum Field Theoretic Techniques and the Electromagnetic Properties of an Uniformly Magnetized Electron Gas

Quantum Field Theoretic Techniques and the Electromagnetic Properties of an Uniformly Magnetized Electron Gas

Author: Leon A. Steinert

Publisher: Forgotten Books

Published: 2017-10-28

Total Pages: 242

ISBN-13: 9780266858393

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Excerpt from Quantum Field Theoretic Techniques and the Electromagnetic Properties of an Uniformly Magnetized Electron Gas: Submitted as a Thesis to the University of Colorado in Partial Fulfillment of the Requirements for the Ph. D. Degree Formal functional relations are derived for the charge and current densities of macroscopic systems acted upon by electromag netic fields. Quantum field theoretical techniques are combined with the results of equilibrium statistical mechanics for a many-body theory of the electromagnetic properties of a uniformly magnetized electron gas in the non-relativistic limit. The functional relations for charge and current density are utilized for the case of an additional electromagnetic disturbance acting upon the electron gas. The results comprise a theory of charge transport and electromagnetic fluctuations for the electron gas. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Ultracold Quantum Fields

Ultracold Quantum Fields

Author: Henk T. C. Stoof

Publisher: Springer Science & Business Media

Published: 2008-11-30

Total Pages: 485

ISBN-13: 1402087632

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On June 19th 1999, the European Ministers of Education signed the Bologna Dec laration, with which they agreed that the European university education should be uniformized throughout Europe and based on the two cycle bachelor master’s sys tem. The Institute for Theoretical Physics at Utrecht University quickly responded to this new challenge and created an international master’s programme in Theoret ical Physics which started running in the summer of 2000. At present, the master’s programme is a so called prestige master at Utrecht University, and it aims at train ing motivated students to become sophisticated researchers in theoretical physics. The programme is built on the philosophy that modern theoretical physics is guided by universal principles that can be applied to any sub?eld of physics. As a result, the basis of the master’s programme consists of the obligatory courses Statistical Field Theory and Quantum Field Theory. These focus in particular on the general concepts of quantum ?eld theory, rather than on the wide variety of possible applica tions. These applications are left to optional courses that build upon the ?rm concep tual basis given in the obligatory courses. The subjects of these optional courses in clude, for instance, Strongly Correlated Electrons, Spintronics, Bose Einstein Con densation, The Standard Model, Cosmology, and String Theory.


Quantum Theory of Near-Field Electrodynamics

Quantum Theory of Near-Field Electrodynamics

Author: Ole Keller

Publisher: Springer Science & Business Media

Published: 2012-02-02

Total Pages: 672

ISBN-13: 3642174108

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"Quantum Theory of Near-field Electrodynamics" gives a self-contained account of the fundamental theory of field-matter interaction on a subwavelength scale. The quantum physical behavior of matter (atoms and mesoscopic media) in both classical and quantum fields is treated. The role of local-field effects and nonlocal electrodynamics, and the tight links to the theory of spatial photon localization are emphasized. The book may serve as a reference work in the field, and is of general interest for physicists working in quantum optics, mesoscopic electrodynamics and physical optics. The macroscopic and microscopic classical theories form a good starting point for the quantum approach, and these theories are presented in a manner appropriate for graduate students entering near-field optics.