Download or read book Schr dinger Theory of Electrons Complementary Perspectives written by Viraht Sahni and published by Springer Nature. This book was released on 2022-07-08 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complementary perspective to Schrödinger theory of electrons in an electromagnetic field, one that does not appear in any text on quantum mechanics. The perspective, derived from Schrödinger 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 Schrödinger theory emerge which show the equation to be intrinsically self-consistent. Another complimentary perspective to Schrödinger 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 Schrödinger 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.
Download or read book Perspectives in Electronic Structure Theory written by Roman F. Nalewajski and published by Springer Science & Business Media. This book was released on 2012-03-23 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Many electron Theory written by Stanley Raimes and published by North-Holland. This book was released on 1972 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Molecules and the Chemical Bond written by Henry A. Bent and published by Trafford Publishing. This book was released on 2013-09-30 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: MOLECULES and the Chemical Bond is about understanding Schrdingers equation, for chemical systems. In his famous Lectures on Physics, Richard Feynman quotes Paul Dirac on what it means to understand an equation. I understand what an equation means, said Dirac, if I have a way of figuring out the characteristics of its solutions without actually solving it. That hits the nail on the head! Its precisely what Conceptual Valence Bond Theory does for Schrdingers equation. A physical understanding of an equation, adds Feynman, is a completely unmathematical, imprecise, and inexact thing, but absolutely necessary for a physicist. It unfolds in MCB in two stages, described by Newton as a stage of Analysis (a union of observations and inductions) and a stage of Synthesis (use of inductions, accepted as first principles, to explain observations). The books chief vehicle for creating an intuitive understanding of solutions of Schrdingers equation is the worlds largest and to the authors knowledge, virtually only library of line drawings of exclusive orbital models of chemical species electron density profiles. By focussing attention on fundamental physical principles and by avoiding use of atomic orbitals and, thereby, mathematical complexities associated with Schrdingers equation (the only source of atomic orbitals), the books essays provide a scientifically sound, student-friendly introduction to modern valence theory. Repetition of fundamental ideas, here and there, is intended to make individual essays understandable and interesting, each by itself, so that readers may examine them in any order, in leisurely walks, so to speak, in the big garden that is valence theory, picking bouquets to their liking.
Download or read book An Introduction to the Electron Theory of Solids written by John Stringer and published by Franklin Book Company. This book was released on 1967 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The breakdown of classical theory -- Atomic spectra and the old quantum theory -- The uncertainty principle of Heisenberg -- The foundations of quantum mechanics -- Some problems in wave mechanics -- A wave-mechanical treatment of the simple harmonic oscillator and the hydrogen atom -- Assemblies of atoms -- Atoms in motion -- Statistical mechanics -- Simple models of metals -- The band theory of solids -- Some results of band theory.
Download or read book Philosophical Perspectives in Quantum Chemistry written by Olimpia Lombardi and published by Springer Nature. This book was released on 2022-05-16 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the philosophy and the foundations of quantum chemistry. It features chapters written by experts in the field. The contributions analyze quantum chemistry as a discipline, in particular, its relation with both chemistry and physics from the viewpoint of realism and reduction. Coverage includes such topics as quantum chemistry as an “in-between” discipline, molecular structure and quantum mechanics, quantum chemical models, and atoms and molecules in quantum chemistry. The interest of this book is twofold. First, the contributions aim to update and refresh the discussions regarding the foundations of quantum chemistry. Second, they seek to develop new philosophical perspectives that this discipline can suggest to philosophers of science. From its origins, quantum chemistry filled a problematic position in the disciplinary space. On the one hand, it is a branch of theoretical chemistry. On the other hand, it appeals essentially to theoretical tools coming from physics. This peculiar position triggered conceptual questions about its own identity. Inside this book, readers will find updated discussions on the foundations and the philosophy of this complex discipline.
Download or read book Complementary Bonding Analysis written by Simon Grabowsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-04-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: As chemical bonds are not observable, there are various theories and models for their description. This book presents a selection of conceptually very different and historically competing views on chemical bonding analysis from quantum chemistry and quantum crystallography. It not only explains the principles and theories behind the methods, but also provides practical examples of how to derive bonding descriptors with modern software and of how to interpret them.
Download or read book Principles of Inorganic Chemistry written by Brian W. Pfennig and published by John Wiley & Sons. This book was released on 2022-02-02 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: PRINCIPLES OF INORGANIC CHEMISTRY Discover the foundational principles of inorganic chemistry with this intuitively organized new edition of a celebrated textbook In the newly revised Second Edition of Principles of Inorganic Chemistry, experienced researcher and chemist Dr. Brian W. Pfennig delivers an accessible and engaging exploration of inorganic chemistry perfect for sophomore-level students. This redesigned book retains all of the rigor of the first edition but reorganizes it to assist readers with learning and retention. In-depth boxed sections include original mathematical derivations for more advanced students, while topics like atomic and molecular term symbols, symmetry coordinates in vibrational spectroscopy, polyatomic MO theory, band theory, and Tanabe-Sugano diagrams are all covered. Readers will find many worked examples throughout the text, as well as numerous unanswered problems at varying levels of difficulty. Informative, colorful illustrations also help to highlight and explain the concepts discussed within. The new edition includes an increased emphasis on the comparison of the strengths and weaknesses of different chemical models, the interconnectedness of valence bond theory and molecular orbital theory, as well as a more thorough discussion of the atoms in molecules topological model. Readers will also find: A thorough introduction to and treatment of group theory, with an emphasis on its applications to chemical bonding and spectroscopy A comprehensive exploration of chemical bonding that compares and contrasts the traditional classification of ionic, covalent, and metallic bonding In-depth examinations of atomic and molecular orbitals and a nuanced discussion of the interrelationship between VBT, MOT, and band theory A section on the relationship between a molecule’s structure and bonding and its chemical reactivity With its in-depth boxed discussions, this textbook is also ideal for senior undergraduate and first-year graduate students in inorganic chemistry, Principles of Inorganic Chemistry is a must-have resource for anyone seeking a principles-based approach with theoretical depth. Furthermore, it will be useful for students of physical chemistry, materials science, and chemical physics.
Download or read book The Historical and Physical Foundations of Quantum Mechanics written by Robert Golub and published by Oxford University Press. This book was released on 2023-02-28 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the path by which humanity learned quantum mechanics can lead to an improved teaching and understanding of the fundamental theory and the origins of its perceived limitations. The purpose of this textbook is to retrace the development of quantum mechanics by investigating primary sources (including original published papers and letters) with attention to their timing and influence. Placing the development of quantum mechanics in its historical context, from the nascent philosophical notions of matter, atoms, and void in Ancient Greece, to their scientific realization in the 19th and 20th centuries, the book culminates with an examination of the current state of the field and an introduction to quantum information and computing.
Download or read book Metachemistry written by Klaus Ruthenberg and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-08-19 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ruthenberg highlights the unique aspects of chemistry, specifically its metachemical fundamentals, which have been largely overlooked in current philosophies of science. Conventional metaphysics, derived from or focused on theoretical physics, is inadequate when applied to chemistry. The author examines and integrates historical and philosophical perspectives on important aspects of chemistry, including affinity, compositionism, emergence, synthesis/analysis, atomism/non-atomism, chemical species, chemical bond, chemical concepts, plurality, temporality/potentiality, reactivity, and underdetermination. To accomplish this, he draws on the works of notable chemists such as František Wald, Wilhelm Ostwald, Friedrich Paneth, and Hans Primas, who have contributed to the philosophical understanding of chemistry. The central conclusion of this study aligns with Immanuel Kant's viewpoint: Chemistry is a systematic art.
Download or read book Science in the 20th Century and Beyond written by Jon Agar and published by John Wiley & Sons. This book was released on 2013-05-20 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compelling history of science from 1900 to the present day, this is the first book to survey modern developments in science during a century of unprecedented change, conflict and uncertainty. The scope is global. Science's claim to access universal truths about the natural world made it an irresistible resource for industrial empires, ideological programs, and environmental campaigners during this period. Science has been at the heart of twentieth century history - from Einstein's new physics to the Manhattan Project, from eugenics to the Human Genome Project, or from the wonders of penicillin to the promises of biotechnology. For some science would only thrive if autonomous and kept separate from the political world, while for others science was the best guide to a planned and better future. Science was both a routine, if essential, part of an orderly society, and the disruptive source of bewildering transformation. Jon Agar draws on a wave of recent scholarship that explores science from interdisciplinary perspectives to offer a readable synthesis that will be ideal for anyone curious about the profound place of science in the modern world.
Download or read book Foundations of Quantum Mechanics written by Travis Norsen and published by Springer. This book was released on 2017-08-17 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nature and the Greeks and Science and Humanism written by Erwin Schrödinger and published by Cambridge University Press. This book was released on 2014-11-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text of two series of lectures given by one of the great philosopher-scientists of the twentieth century.
Download or read book Interacting Electrons written by Richard M. Martin and published by Cambridge University Press. This book was released on 2016-06-30 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent progress in the theory and computation of electronic structure is bringing an unprecedented level of capability for research. Many-body methods are becoming essential tools vital for quantitative calculations and understanding materials phenomena in physics, chemistry, materials science and other fields. This book provides a unified exposition of the most-used tools: many-body perturbation theory, dynamical mean field theory and quantum Monte Carlo simulations. Each topic is introduced with a less technical overview for a broad readership, followed by in-depth descriptions and mathematical formulation. Practical guidelines, illustrations and exercises are chosen to enable readers to appreciate the complementary approaches, their relationships, and the advantages and disadvantages of each method. This book is designed for graduate students and researchers who want to use and understand these advanced computational tools, get a broad overview, and acquire a basis for participating in new developments.
Download or read book Perspectives in Quantum Field Theory Statistical Mechanics and Stochastics written by and published by . This book was released on 2004 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Information Theory of Molecular Systems written by Roman F Nalewajski and published by Elsevier. This book was released on 2006-03-31 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: As well as providing a unified outlook on physics, Information Theory (IT) has numerous applications in chemistry and biology owing to its ability to provide a measure of the entropy/information contained within probability distributions and criteria of their information "distance" (similarity) and independence. Information Theory of Molecular Systems applies standard IT to classical problems in the theory of electronic structure and chemical reactivity. The book starts by introducing the basic concepts of modern electronic structure/reactivity theory based upon the Density Functional Theory (DFT), followed by an outline of the main ideas and techniques of IT, including several illustrative applications to molecular systems. Coverage includes information origins of the chemical bond, unbiased definition of molecular fragments, adequate entropic measures of their internal (intra-fragment) and external (inter-fragment) bond-orders and valence-numbers, descriptors of their chemical reactivity, and information criteria of their similarity and independence. Information Theory of Molecular Systems is recommended to graduate students and researchers interested in fresh ideas in the theory of electronic structure and chemical reactivity. ·Provides powerful tools for tackling both classical and new problems in the theory of the molecular electronic structure and chemical reactivity·Introduces basic concepts of the modern electronic structure/reactivity theory based upon the Density Functional Theory (DFT)·Outlines main ideas and techniques of Information Theory
Download or read book The Meaning of the Wave Function written by Shan Gao and published by Cambridge University Press. This book was released on 2017-03-16 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
