Schr Dinger Theory Of Electrons Complementary Perspectives
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Schr Dinger Theory Of Electrons Complementary Perspectives
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Author : Viraht Sahni
language : en
Publisher: Springer Nature
Release Date : 2022-07-08
Schr Dinger Theory Of Electrons Complementary Perspectives written by Viraht Sahni and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-08 with Science categories.
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.
Schr Dinger Theory Of Electrons Complementary Perspectives
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Author : Viraht Sahni
language : en
Publisher:
Release Date : 2022
Schr Dinger Theory Of Electrons Complementary Perspectives written by Viraht Sahni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
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.
A Tutorial On The Wkb Approximation For Innovative Dirac Materials
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Author : Andrii Iurov
language : en
Publisher: Springer Nature
Release Date : 2024-08-30
A Tutorial On The Wkb Approximation For Innovative Dirac Materials written by Andrii Iurov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-30 with Science categories.
This textbook serves to supplement existing quantum mechanics courses with the WKB (Wentzel–Kramers–Brillouin) theory for recently discovered Dirac materials, such as graphene, a dice lattice, and alpha-T3 materials. This includes finding the semiclassical wave function, coordinate-dependent momentum, semiclassical action, the complete set of transport equations, and applicability conditions for the approximation. The discovery of graphene and its unique electronic behavior has transformed research in condensed matter physics over the last 10-15 years, but core curriculum in standard graduate-level physics courses still does not reflect these new developments and this book intends to close this gap. With a clear focus on various types of Dirac Hamiltonians, the multidimensional theory is only a small part of the book. The derivation of the WKB equations for novel Dirac materials and their applications to electron tunneling, turning points and classically forbidden regions, resonances and localized states, and many other crucial physical problems are methodically presented. This textbook aims to expand the existing approach to presenting the WKB approximation and covers recent developments in its applications. This book also includes many informative graphics, as well as problems and exercises with hints at the end of each chapter. Additional detailed mathematical derivations, as well as code in Mathematica, are added throughout the whole book. Ideal for graduate students and researchers in condensed matter physics, this textbook serves as a modern guide for learning the WKB theory.
Molecules And The Chemical Bond
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Author : Henry A. Bent
language : en
Publisher: Trafford Publishing
Release Date : 2013-09-30
Molecules And The Chemical Bond written by Henry A. Bent and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-30 with Juvenile Nonfiction categories.
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.
The Quest For Reality Bohr And Wittgenstein Two Complementary Views
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Author : Stig Stenholm
language : en
Publisher: Oxford University Press
Release Date : 2011-06-30
The Quest For Reality Bohr And Wittgenstein Two Complementary Views written by Stig Stenholm 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 2011-06-30 with Biography & Autobiography categories.
In both science and philosophy, the twentieth century saw a radical breakdown of certainty in the human worldview. Quantum theorist Stig Stenholm presents Bohr and Wittgenstein as central figures undertaking the necessary replacement of apparent order and certainty with an understanding based on limited concepts in constant flux.
Perspectives In Electronic Structure Theory
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Author : Roman F. Nalewajski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-26
Perspectives In Electronic Structure Theory written by Roman F. Nalewajski 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 2012-03-26 with Science categories.
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.
Complementary Bonding Analysis
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Author : Simon Grabowsky
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-04-06
Complementary Bonding Analysis written by Simon Grabowsky and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-06 with Science categories.
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.
Quantum Mechanics A Philosophical Perspective
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Author : Don Hainesworth
language : en
Publisher: AuthorHouse
Release Date : 2019-09-17
Quantum Mechanics A Philosophical Perspective written by Don Hainesworth and has been published by AuthorHouse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-17 with Science categories.
This book gives a comprehensive treatment on the historical discoveries and scientific developments concerning the Universe at the atomic and subatomic levels. Discussions begin with classical discoveries on the behavior of the atom to Quantum Mechanics and ends with exciting modern discoveries that are leading us to unlocking the hidden mysteries of reality. “Quantum mechanics describes the behavior of very small objects – the size of atoms or smaller – and it provides the only understanding of the world of the very small. In the world of quantum mechanics, the laws of physics that are familiar from the everyday world no longer work. Instead, events are governed by probabilities. During the time of Newton, it was thought that the Universe ran like clockwork, wound up and set in motion by the Creator, down some utterly predictable path. Newton’s classical mechanics provided plenty of support for this deterministic view of the Universe, a picture that left little place for human free will or chance. Could it really be that we are all puppets following our own preset tracks through life, with no real choice at all? Most scientists were content to let the philosophers debate that question. But it returned, with full force, at the heart of the new physics of the twentieth century.” In Search Of Schrodinger’s Cat – John Gribbin In addition, the various interpretations of quantum phenomena has led scientists and philosophers to a real possibility of finding a connection between matter and consciousness. This book contains no advanced scientific concepts, and no complicated formulas are written down for analysis. However, it does present some simple mathematical related examples in the final chapter. This is presented in order to reinforce the important ideas in QM and maintain a clear understanding of its fundamentals. It is not assumed that the reader has an understanding of Quantum Physics. Therefore the text provides the reader with enough historical and scientific information to insure his or her confidence in understanding the properties and behavior of quantum particle/wave elements.
3rd Dimension And Human Volume Ii
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Author : Prof. Dr. Bilal Semih Bozdemir
language : en
Publisher: Prof. Dr. Bilal Semih Bozdemir
Release Date :
3rd Dimension And Human Volume Ii written by Prof. Dr. Bilal Semih Bozdemir and has been published by Prof. Dr. Bilal Semih Bozdemir this book supported file pdf, txt, epub, kindle and other format this book has been release on with Fiction categories.
Humans and the Third Dimension; A Journey of Discovery The Limits of Our Perceptions Our Three-Dimensional World: A Familiar Reality Space and Time: Basic Concepts The Limits of Human Perception: Sight, Hearing, Touch Other Senses: Smell and Taste The Sixth Sense: Intuition and Insight The Subconscious and the Superconscious: Hidden Worlds Dreams and Reality: Is There a Difference? Parallel Universes: Possibilities and Scenarios Quantum Physics: On the Nature of Reality Quantum Entanglement: Separate But Connected Superposition: Being in More Than One State Quantum Examples: Reflections in Daily Life Time Travel: Is It Possible? The Theory of Relativity of Time: Einstein's Legacy Black Holes: The End of Time? Wormholes: Transitioning from One Dimension to Another The Theory of the Multiverse: Infinite Possibilities The Fourth Dimension and Beyond: Challenges of Conceptualization Human Consciousness and Dimensions: Is There a Connection? Aura and Energy Fields: Invisible Worlds Meditation and Consciousness Expansion: New Perspectives Astral Travel: Unconscious Experiences Telepathy and Remote Influence: Mind Power Dream Interpretation: Signs of the Subconscious Kabbalah and Dimensions: The View of the Ancient Sages Buddhism and Dimensions: Spiritual Development Hinduism and Dimensions: Karma and Reincarnation Shamanism and Dimensions: Spiritual Journeys Human Body and Energy Centers: Chakras Chakra Balancing and Healing: Holistic Approach Frequencies and Vibrations: The Language of Energy Crystals and Energy: Healing and Balance Reiki and Energy Healing: Modern Applications Spiritual Applications: Interdimensional Connections Traces of the Unseen World: Historical Examples Mysterious Events: The Unexplained Phenomenon UFOs and Aliens: Fact or Fiction? Exploration of the Unknown: A Continuous Process Man's Place in the Universe: Existential Questions
Chemical Reactivity In Quantum Mechanics And Information Theory
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Author : Roman F Nalewajski
language : en
Publisher: Elsevier
Release Date : 2022-11-17
Chemical Reactivity In Quantum Mechanics And Information Theory written by Roman F Nalewajski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-17 with Medical categories.
Chemical Reactivity in Quantum Mechanics and Information Theory introduces a thermodynamic-like description of molecular systems and provides an objective treatment of their fragments. The book formulates adequate entropic tools for probing in chemical terms and the electronic structure of molecules and rationalizing reactivity principles. It covers the information origins of chemical bonds, covalent/ionic composition, trends in molecular stability and reactivity, equilibrium polarizations and charge-transfer reconstructions of reactive complexes, as well as the phase/current promotions of molecular substrates. In addition, the book introduces a precise descriptor of molecular fragments and clarifies mostly intuitive semantics of several chemical concepts. Readers will find a precise and unbiased description of chemical reactivity phenomena in Donor-Acceptor systems in terms of quantum states and generalized concepts of Information/Communication theories. - Generates a new basis for understanding the rules governing molecular processes, information origins of chemical bonding, and its covalent/ionic composition - Provides an objective approach to classical issues in modern reactivity theory - Offers a unifying information-theoretic perspective on electronic states