Tag: Density

Density Matrix Theory and Applications


Free Download Density Matrix Theory and Applications by Karl Blum
English | PDF | 1981 | 228 Pages | ISBN : 1461568102 | 17 MB
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 vari ables. The use of density matrix methods also has the advantage of providing a uniform treatment of all quantum mechanical states, whether they are completely or incom~’\etely 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.

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Density Matrix Theory and Applications, Second Edition


Free Download Density Matrix Theory and Applications, Second Edition by Karl Blum
English | PDF | 1996 | 337 Pages | ISBN : 1441932577 | 27.5 MB
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.

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Density Functional Theory


Free Download Density Functional Theory By W. Kohn (auth.), Eberhard K. U. Gross, Reiner M. Dreizler (eds.)
1995 | 676 Pages | ISBN: 1475799772 | PDF | 26 MB
The first Nato Advanced Studies Institute entirely devoted to density functional theory was held in Portugal in September 1983. The proceedings of this School, publis hed in early 1985, is still used as a standard reference covering the basic development of the theory and applications in atomic, molecular, solid state and nuclear physics. Ho wever, astonishing progress has been achieved in the intervening years: The foundations of the theory have been extended to cover excited states and time dependent problems more fully, density functional theory of classical liquids and superconducting systems has been addressed and extensions to relativistic, that is, field theoretical systems, as well as a more thorough discussion of magnetic field problems have been presented. In addition, new functionals have been devised, for instance under the heading of ge neralised gradient expansions, and the number of applications in the traditional fields has steadily increased, in particular in chemistry. Applications in new fields, as for instance the structure of atomic clusters and the marriage of density functional theory with molecular dynamics and simulated annealing, have provided additional impetus to the field of density functional theory.

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Density Functional Theory of Molecules, Clusters, and Solids


Free Download Density Functional Theory of Molecules, Clusters, and Solids By M. A. Buijse (auth.), D. E. Ellis (eds.)
1996 | 320 Pages | ISBN: 0792330838 | PDF | 13 MB
Rapid advances are taking place in the application of density functional theory (DFT) to describe complex electronic structures, to accurately treat large systems and to predict physical and chemical properties. Both theoretical content and computational methodology are developing at a pace which offers researchers new opportunities in areas such as quantum chemistry, cluster science, and solid state physics. This volume contains ten contributions by leading scientists in the field and provides an authoritative overview of the most important developments. The book focuses on the following themes: determining adequate approximations for the many-body problem of electronic correlations; how to transform these approximations into computational algorithms; applications to discover and predict properties of electronic systems; and developing the theory. For researchers in surface chemistry, catalysis, ceramics and inorganic chemistry.

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Magnetic Levitation Innovation of Density-Based Applications


Free Download Magnetic Levitation: Innovation of Density-Based Applications by Peng Zhao
English | January 5, 2024 | ISBN: 9819983134 | 217 pages | MOBI | 25 Mb
This book introduces the MagLev testing method for density measurement and density-based applications of diamagnetic and low-magnetic objects using permanent magnets. The book surveys the most relevant papers on the theory and model of various MagLev methods that have become the foundation to elucidate the principles of MagLev and the conditions for stable levitation. A thorough summary of the improvements demonstrates the applications and potential of the MagLev method in many fields. This book is separated into 11 chapters to present MagLev testing method fully, including a review of the background of MagLev, theories and basic principles of the stable levitation of object, different dimensions of applications of MagLev in the fields of mechanical engineering, chemistry, and bioengineering, and sophisticated applications of manipulation and separation.

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Density Functional Theory Advances in Applications


Free Download Ponnadurai Ramasami, "Density Functional Theory: Advances in Applications"
English | ISBN: 3110566753 | 2018 | 247 pages | EPUB | 13 MB
DFT methods are widely used in a broad range of disciplines to investigate many body systems. This book provides an overview on contemporary applications of the Density Functional Theory in various fields as computational chemistry, physics or engineering.

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Quantal Density Functional Theory II Approximation Methods and Applications


Free Download Quantal Density Functional Theory II: Approximation Methods and Applications by Viraht Sahni
English | PDF | 2009 | 432 Pages | ISBN : 3540922288 | 5.8 MB
In my original proposal to Springer for a book on Quantal Density Functional Theory, I had envisaged one that was as complete in its presentation as possible, describing the basic theory as well as the approximation methods and a host of applications. However,after workingon the bookforabout ?ve years, I realizedthat the goal was too ambitious, and that I would be writing for another ?ve years for it to be achieved. Fortunately,there was a natural breakin the material, and I proposed to my editor, Dr. Claus Ascheron, that we split the book into two components: the ?rst on the basic theoretical framework, and the second on approximation methods and applications. Dr. Ascheron consented, and I am thankful to him for agreeing to do so. Hence, we published Quantal Density Functional Theory in 2004, and are now publishing Quantal Density Functional Theory II: Approximation Methods and Applications. One signi?cant advantage of this, as it turns out, is that I have been able to incorporate in each volume the most recent understandings available. This volume, like the earlier one, is aimed at advanced undergraduates in physics and chemistry, graduate students and researchers in the ?eld. It is written in the same pedagogical style with details of all proofs and numerous ?gures provided to explain the physics. The book is independent of the ?rst volume and stands on its own. However, proofs given in the ?rst volume are not repeated here.

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