Density Matrix Theories In Quantum Physics

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Density Matrix Theories In Quantum Physics

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Author : Boris V. Bondarev
language : en
Publisher: Bentham Science Publishers
Release Date : 2020-11-03

Density Matrix Theories In Quantum Physics written by Boris V. Bondarev and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-03 with Science categories.

In Density Matrix Theories in Quantum Physics, the author explores new possibilities for the main quantities in quantum physics – the statistical operator and the density matrix. The starting point in this exploration is the Lindblad equation for the statistical operator, where the main element of influence on a system by its environment is the dissipative operator. Bondarev has developed the theory of the harmonic oscillator, in which he finds the density matrix and proves the Heisenberg relation. Bondarev has written the dissipative diffusion and attenuation operators and proven the equivalence of the Wigner and Fokker–Planck equations using them. He further develops theories of the light-emitting diode and ball lightning. Bondarev also derives equations for the density matrix of a single particle and a system of identical particles. These equations have a remarkable property: when the density matrix has a diagonal shape they turn into a quantum kinetic equation for probability. Additional chapters in the book present new theories of experimentally discovered phenomena, such as the step kinetics of bimolecular reactions in solids, superconductivity, superfluidity, the energy spectrum of an arbitrary atom, lasers, spasers, and graphene. Density Matrix Theories in Quantum Physics is an informative reference for theoretical physicists interested in new theories on the subject of complex physical phenomena, quantum theory and density matrices.

Density Matrix Theory And Applications

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Author : Karl Blum
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Density Matrix Theory And Applications written by Karl Blum and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.

Quantum mechanics has been mostly concerned with those states of systems that are represented by state vectors. In many cases, however, the system of interest is incompletely determined; for example, it may have no more than a certain probability of being in the precisely defined dynamical state characterized by a state vector. Because of this incomplete knowledge, a need for statistical averaging arises in the same sense as in classical physics. The density matrix was introduced by J. von Neumann in 1927 to describe statistical concepts in quantum mechanics. The main virtue of the density matrix is its analytical power in the construction of general formulas and in the proof of general theorems. The evaluation of averages and probabilities of the physical quantities characterizing a given system is extremely cumbersome without the use of density matrix techniques. The representation of quantum mechanical states by density matrices enables the maximum information available on the system to be expressed in a compact manner and hence avoids the introduction of unnecessary variables. The use of density matrix methods also has the advan tage of providing a uniform treatment of all quantum mechanical states, whether they are completely or incompletely known. Until recently the use of the density matrix method has been mainly restricted to statistical physics. In recent years, however, the application of the density matrix has been gaining more and more importance in many other fields of physics.

John S Bell On The Foundations Of Quantum Mechanics

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Author : J. S. Bell
language : en
Publisher: World Scientific
Release Date : 2001

John S Bell On The Foundations Of Quantum Mechanics written by J. S. Bell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.

This book is the most complete collection of John S Bell's research papers, review articles and lecture notes on the foundations of quantum mechanics. Some of this material has hitherto been difficult to access. The book also appears in a paperback edition, aimed at students and young researchers.This volume will be very useful to researchers in the foundations and applications of quantum mechanics.

Many Body Quantum Theory In Condensed Matter Physics

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Author : Henrik Bruus
language : en
Publisher: Oxford University Press
Release Date : 2004-09-02

Many Body Quantum Theory In Condensed Matter Physics written by Henrik Bruus and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-02 with Science categories.

The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Electromagnetic Response Of Material Media

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Author : Yu.A. Il'inskii
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-08-31

Electromagnetic Response Of Material Media written by Yu.A. Il'inskii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-31 with Science categories.

The textbook we offer to the reader is based on a two-term course of lec tures, "Electromagnetic Response of Material Media," that the authors gave for a number of years to the final-year students of the Physics Depart ment of Moscow University. This course built on courses in quantum electronics, nonlinear optics and theoretical fundamentals of quantum radiophysics; students are as sumed to have mastered the fundamentals of quantum mechanics, laser physics and nonlinear optics. The essential core of the course, and hence of the book, is the current general theory of electromagnetic response of a nonrelativistic medium. The main aspects are presented in Chapters 1 and 2. The second part is devoted to more traditional topics which students learn in this course of lectures and also in the course "Condensed Matter Physics" for students who choose to major in radiophysics and laser physics; this course is also taught by the authors at the Physics Department. This volume was intended as a text for students and, as such, does not cite original publications. We decided to provide a list of additional recommended literature, mostly of well known, easily accessible textbooks.

Density Functional Theory

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Author : Reiner M. Dreizler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Density Functional Theory written by Reiner M. Dreizler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Density Functional Theory is a rapidly developing branch of many-particle physics that has found applications in atomic, molecular, solid-state and nuclear physics. This book describes the conceptual framework of density functional theory and discusses in detail the derivation of explicit functionals from first principles as well as their application to Coulomb systems. Both non-relativistic and relativistic systems are treated. The connection of density functional theory with other many-body methods is highlighted. The presentation is self-contained; the book is, thus, well suited for a graduate course on density functional theory.

The Physics Of Quantum Mechanics

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Author : James Binney
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-12

The Physics Of Quantum Mechanics written by James Binney and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12 with Science categories.

This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.

Reduced Density Matrix Mechanics

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Author : David A. Mazziotti
language : en
Publisher: John Wiley & Sons
Release Date : 2007-04-06

Reduced Density Matrix Mechanics written by David A. Mazziotti and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-06 with Science categories.

An up-to-date account of this cutting-edge research in a consistent and understandable framework, of special interest to experts in other areas of electronic structure and/or quantum many-body theory. It will serve equally well as a self-contained guide to learning about reduced density matrices either through self-study or in a classroom as well as an invaluable resource for understanding the critical advancements in the field.

Nonequilibrium Quantum Transport Physics In Nanosystems Foundation Of Computational Nonequilibrium Physics In Nanoscience And Nanotechnology

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Author : Felix A Buot
language : en
Publisher: World Scientific
Release Date : 2009-08-05

Nonequilibrium Quantum Transport Physics In Nanosystems Foundation Of Computational Nonequilibrium Physics In Nanoscience And Nanotechnology written by Felix A Buot and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-05 with Technology & Engineering categories.

This book presents the first comprehensive treatment of discrete phase-space quantum mechanics and the lattice Weyl-Wigner formulation of energy band dynamics, by the originator of these theoretical techniques. The author's quantum superfield theoretical formulation of nonequilibrium quantum physics is given in real time, without the awkward use of artificial time contour employed in previous formulations. These two main quantum theoretical techniques combine to yield general (including quasiparticle-pairing dynamics) and exact quantum transport equations in phase-space, appropriate for nanodevices. The derivation of transport formulas in mesoscopic physics from the general quantum transport equations is also treated. Pioneering nanodevices are discussed in the light of the quantum-transport physics equations, and an in-depth treatment of the physics of resonant tunneling devices is given. Operator Hilbert-space methods and quantum tomography are discussed. Discrete phase-space quantum mechanics on finite fields is treated for completeness and by virtue of its relevance to quantum computing. The phenomenological treatment of evolution superoperator and measurements is given to help clarify the general quantum transport theory. Quantum computing and information theory is covered to demonstrate the foundational aspects of discrete quantum dynamics, particularly in deriving a complete set of multiparticle entangled basis states.

A Mathematical Introduction To Electronic Structure Theory

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Author : Lin Lin
language : en
Publisher: SIAM
Release Date : 2019-06-05

A Mathematical Introduction To Electronic Structure Theory written by Lin Lin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-05 with Mathematics categories.

Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. The book begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree?Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn?Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy. The book is written for advanced undergraduate and beginning graduate students, specifically those with mathematical backgrounds but without a priori knowledge of quantum mechanics, and can be used for self-study by researchers, instructors, and other scientists. The book can also serve as a starting point to learn about many-body perturbation theory, a topic at the frontier of the study of interacting electrons.