Schrödinger Theory of Electrons

Schrödinger Theory of Electrons PDF

Author: Viraht Sahni

Publisher:

Published: 2022

Total Pages: 0

ISBN-13: 9788303097408

DOWNLOAD EBOOK →

This book presents a complementary perspective to Schrodinger theory of electrons in an electromagnetic field, one that does not appear in any text on quantum mechanics. The perspective, derived from Schrodinger theory, is that of the individual electron in the sea of electrons via its temporal and stationary-state equations of motion the Quantal Newtonian Second and First Laws. The Laws are in terms of classical fields experienced by each electron, the sources of the fields being quantum-mechanical expectation values of Hermitian operators taken with respect to the wave function. Each electron experiences the external field, and internal fields representative of properties of the system, and a field descriptive of its response. The energies are obtained in terms of the fields. The Quantal Newtonian Laws lead to physical insights, and new properties of the electronic system are revealed. New mathematical understandings of Schrodinger theory emerge which show the equation to be intrinsically self-consistent. Another complimentary perspective to Schrodinger theory is its manifestation as a local effective potential theory described via Quantal Density Functional theory. This description too is in terms of classical fields and quantal sources. The theory provides a rigorous physical explanation of the mapping from the interacting system to the local potential theory equivalent. The complementary perspective to stationary ground state Schrodinger theory founded in the theorems of Hohenberg and Kohn, their extension to the presence of a magnetic field and to the temporal domain Modern Density Functional Theory -- is also described. The new perspectives are elucidated by application to analytically solvable interacting systems. These solutions and other relevant wave function properties are derived.

Perspectives in Electronic Structure Theory

Perspectives in Electronic Structure Theory PDF

Author: Roman F. Nalewajski

Publisher: Springer Science & Business Media

Published: 2012-03-26

Total Pages: 727

ISBN-13: 3642201792

DOWNLOAD EBOOK →

The understanding in science implies insights from several different points of view. Alternative modern outlooks on electronic structure of atoms and molecules, all rooted in quantum mechanics, are presented in a single text. Together these complementary perspectives provide a deeper understanding of the localization of electrons and bonds, the origins of chemical interaction and reactivity behavior, the interaction between the geometric and electronic structure of molecules, etc. In the opening two parts the basic principles and techniques of the contemporary computational and conceptual quantum chemistry are presented, within both the wave-function and electron-density theories. This background material is followed by a discussion of chemical concepts, including stages of the bond-formation processes, chemical valence and bond-multiplicity indices, the hardness/softness descriptors of molecules and reactants, and general chemical reactivity/stability principles. The insights from Information Theory, the basic elements of which are briefly introduced, including the entropic origins and Orbital Communication Theory of the chemical bond, are the subject of Part IV. The importance of the non-additive (interference) information tools in exploring patterns of chemical bonds and their covalent and ionic components will be emphasized.

'Nature and the Greeks' and 'Science and Humanism'

'Nature and the Greeks' and 'Science and Humanism' PDF

Author: Erwin Schrödinger

Publisher: Cambridge University Press

Published: 2014-11-06

Total Pages: 185

ISBN-13: 1316124118

DOWNLOAD EBOOK →

Nobel laureate Erwin Schrödinger was one of the most distinguished scientists of the twentieth century; his lectures on the history and philosophy of science are legendary. 'Nature and the Greeks' and 'Science and Humanism' makes available for the first time in many years the texts of two of Schrödinger's most famous lecture series. 'Nature and the Greeks' offers a comprehensive historical account of the twentieth-century scientific world picture, tracing modern science back to the earliest stages of Western philosophic thought. 'Science and Humanism' addresses some of the most fundamental questions of the century: what is the value of scientific research? And how do the achievements of modern science affect the relationship between material and spiritual matters? A foreword by Roger Penrose sets the lectures in a contemporary context, and affirms they are as relevant today as when they were first published.

The Meaning of the Wave Function

The Meaning of the Wave Function PDF

Author: Shan Gao

Publisher: Cambridge University Press

Published: 2017-03-16

Total Pages: 201

ISBN-13: 1108155936

DOWNLOAD EBOOK →

At the heart of quantum mechanics lies the wave function, a powerful but mysterious mathematical object which has been a hot topic of debate from its earliest stages. Covering much of the recent debate and providing a comprehensive and critical review of competing approaches, this ambitious text provides new, decisive proof of the reality of the wave function. Aiming to make sense of the wave function in quantum mechanics and to find the ontological content of the theory, this book explores new ontological interpretations of the wave function in terms of random discontinuous motion of particles. Finally, the book investigates whether the suggested quantum ontology is complete in solving the measurement problem and if it should be revised in the relativistic domain. A timely addition to the literature on the foundations of quantum mechanics, this book is of value to students and researchers with an interest in the philosophy of physics.

Consciousness in the Physical World

Consciousness in the Physical World PDF

Author: Torin Andrew Alter

Publisher: Philosophy of Mind

Published: 2015

Total Pages: 473

ISBN-13: 0199927359

DOWNLOAD EBOOK →

According to Russellian monism, an alternative to the familiar theories in the philosophy of mind that combines attractive components of physicalism and dualism, matter has intrinsic properties that both constitute consciousness and serve as categorical bases for the dispositional properties described in physics. Consciousness in the Physical World collects various works on Russellian monism, including historical selections, recent classics, and new pieces. Most chapters are sympathetic with the view, but some are skeptical. Together, they constitute the first book-length treatment of the view itself, its relationship to other theories, its motivations, and its problems.

Foundations of Quantum Mechanics

Foundations of Quantum Mechanics PDF

Author: Travis Norsen

Publisher: Springer

Published: 2017-08-17

Total Pages: 310

ISBN-13: 3319658670

DOWNLOAD EBOOK →

Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is accessible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.

Many-Body Quantum Theory in Condensed Matter Physics

Many-Body Quantum Theory in Condensed Matter Physics PDF

Author: Henrik Bruus

Publisher: Oxford University Press

Published: 2004-09-02

Total Pages: 458

ISBN-13: 0198566336

DOWNLOAD EBOOK →

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.

The Physics of Quantum Mechanics

The Physics of Quantum Mechanics PDF

Author: James Binney

Publisher: Oxford University Press, USA

Published: 2013-12

Total Pages: 408

ISBN-13: 0199688575

DOWNLOAD EBOOK →

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.

Reviews of Modern Quantum Chemistry

Reviews of Modern Quantum Chemistry PDF

Author: Kali Das Sen

Publisher: World Scientific

Published: 2002

Total Pages: 1882

ISBN-13: 9812775706

DOWNLOAD EBOOK →

This important book collects together stateOCoofOCotheOCoart reviews of diverse topics covering almost all the major areas of modern quantum chemistry. The current focus in the discipline of chemistry OCo synthesis, structure, reactivity and dynamics OCo is mainly on control . A variety of essential computational tools at the disposal of chemists have emerged from recent studies in quantum chemistry. The acceptance and application of these tools in the interfacial disciplines of the life and physical sciences continue to grow. The new era of modern quantum chemistry throws up promising potentialities for further research. Reviews of Modern Quantum Chemistry is a joint endeavor, in which renowned scientists from leading universities and research laboratories spanning 22 countries present 59 inOCodepth reviews. Along with a personal introduction written by Professor Walter Kohn, Nobel laureate (Chemistry, 1998), the articles celebrate the scientific contributions of Professor Robert G Parr on the occasion of his 80th birthday. List of Contributors: W Kohn, M Levy, R Pariser, B R Judd, E Lo, B N Plakhutin, A Savin, P Politzer, P Lane, J S Murray, A J Thakkar, S R Gadre, R F Nalewajski, K Jug, M Randic, G Del Re, U Kaldor, E Eliav, A Landau, M Ehara, M Ishida, K Toyota, H Nakatsuji, G Maroulis, A M Mebel, S Mahapatra, R CarbOCoDorca, u Nagy, I A Howard, N H March, SOCoB Liu, R G Pearson, N Watanabe, S TenOCono, S Iwata, Y Udagawa, E Valderrama, X Fradera, I Silanes, J M Ugalde, R J Boyd, E V Ludea, V V Karasiev, L Massa, T Tsuneda, K Hirao, J-M Tao, J P Perdew, O V Gritsenko, M Grning, E J Baerends, F Aparicio, J Garza, A Cedillo, M Galvin, R Vargas, E Engel, A HAck, R N Schmid, R M Dreizler, J Poater, M Sola, M Duran, J Robles, X Fradera, P K Chattaraj, A Poddar, B Maiti, A Cedillo, S Guti(r)rrezOCoOliva, P Jaque, A ToroOCoLabb(r), H Chermette, P Boulet, S Portmann, P Fuentealba, R Contreras, P Geerlings, F De Proft, R Balawender, D P Chong, A Vela, G Merino, F Kootstra, P L de Boeij, R van Leeuwen, J G Snijders, N T Maitra, K Burke, H Appel, E K U Gross, M K Harbola, H F Hameka, C A Daul, I Ciofini, A Bencini, S K Ghosh, A Tachibana, J M CabreraOCoTrujillo, F Tenorio, O Mayorga, M Cases, V Kumar, Y Kawazoe, A M KAster, P Calaminici, Z Gmez, U Reveles, J A Alonso, L M Molina, M J Lpez, F Dugue, A Maanes, C A Fahlstrom, J A Nichols, D A Dixon, P A Derosa, A G Zacarias, J M Seminario, D G Kanhere, A Vichare, S A Blundell, ZOCoY Lu, HOCoY Liu, M Elstner, WOCoT Yang, J Muoz, X Fradera, M Orozco, F J Luque, P Tarakeshwar, H M Lee, K S Kim, M Valiev, E J Bylaska, A Gramada, J H Weare, J Brickmann, M Keil, T E Exner, M Hoffmann & J Rychlewski. Contents: Volume I: Applications of the Automorphisms of SO(8) to the Atomic f Shell (B R Judd & E Lo); Probability Distributions and Valence Shells in Atoms (A Savin); Information Theoretical Approaches to Quantum Chemistry (S R Gadre); Quantum Chemical Justification for Clar''s Valence Structures (M Randic); Functional Expansion Approach in Density Functional Theory (S-B Liu); Normconserving Pseudopotentials for the Exact Exchange Functional (E Engel et al.); Volume II: Chemical Reactivity and Dynamics within a Density-based Quantum Mechanical Framework (P K Chattaraj et al.); Fukui Functions and Local Softness (H Chermette et al.); The Nuclear Fukui Function (P Geerlings et al.); Causality in Time-Dependent Density-Functional Theory (M K Harbola); Theoretical Studies of Molecular Magnetism (H F Hameka); Melting in Finite-Sized Systems (D G Kanhere et al.); Density Functional Theory (DFT) and Drug Design (M Hoffmann & J Rychlewski); and other papers. Readership: Researchers and academics in computational, physical, fullerene, industrial, polymer, solid state and theoretical/quantum chemistry; nanoscience, superconductivity & magnetic materials, surface science; atomic, computational and condensed matter physics; and thermodynamics."