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Discrete quantum mechanics
Údaje o názvu Discrete quantum mechanics / H. Thomas Williams. [elektronický zdroj] Nakladatel San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2015] Distributor Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2015] Fyz.popis 1 online resource (various pagings) : illustrations (some color). ISBN 9781681741253 (online) 9781681742533 mobi Edice [IOP release 2] IOP concise physics, ISSN 2053-2571 Poznámka "Version: 20151201"--Title page verso. "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso. Poznámky o skryté bibliografii a rejstřících Includes bibliographical references. Úplný obsah Preface -- 1. Postulates -- 1.1. State space -- 1.2. Time evolution -- 1.3. Quantum measurement -- 1.4. Composite systems -- 1.5. The genie Poznámka o obsahu 2. Two-state systems -- 2.1. Schrödinger's cat -- 2.2. Expectation value; energy operator -- 2.3. Spin one-half -- 2.4. Ammonia molecule -- 2.5. Photons. 3. Entanglement -- 3.1. Entangled qubit pairs -- 3.2. Quantum gates -- 3.3. Utilizing entanglement -- 3.4. Large-scale quantum algorithms. 4. Quantum angular momentum -- 4.1. Operators for orbital angular momentum -- 4.2. Operators for spin one-half -- 4.3. Generalized angular momentum theory -- 4.4. Angular momentum addition -- 4.5. Interaction operators -- 4.6. Isospin -- 4.7. And .... 5. Quantum many-body problem -- 5.1. The general case : Heisenberg XYZ spin chain -- 5.2. Ising model -- 5.3. Heisenberg XXX spin chain. 6. Infinity, and beyond -- 6.1. Schrödinger equation -- 6.2. Schrödinger equation in one dimension -- 6.3. Schrödinger equation in three dimensions -- 6.4. Defending the delta. Appendix A. Relevant results from linear algebra -- Appendix B. Directory of definitions and notation. Poznámky k dostupnosti Přístup pouze pro oprávněné uživatele Určeno pro Research physicists. Poznámky Způsob přístupu: World Wide Web.. Požadavky na systém: Adobe Acrobat Reader. Dal.odpovědnost Morgan & Claypool Publishers, Institute of Physics (Great Britain), Předmět.hesla Quantum theory. * SCIENCE / Physics / Quantum Theory. * Quantum Physics. Forma, žánr elektronické knihy electronic books Země vyd. Kalifornie Jazyk dok. angličtina Druh dok. Elektronické knihy URL Plný text pro studenty a zaměstnance UPOL kniha
After a quarter century of discoveries that rattled the foundations of classical mechanics and electrodynamics, the year 1926 saw the publication of two works intended to provide a theoretical structure to support new quantum explanations of the subatomic world. Heisenberg's matrix mechanics and Schrödinger's wave mechanics provided compatible but mathematically disparate ways of unifying the discoveries of Planck, Einstein, Bohr and many others. Efforts began immediately to prove the equivalence of these two structures, culminated successfully by John von Neumann's 1932 volume Mathematical Foundations of Quantum Mechanics. This forms the springboard for the current effort. We begin with a presentation of a minimal set of von Neumann postulates while introducing language and notation to facilitate subsequent discussion of quantum calculations based in finite dimensional Hilbert spaces. Chapters that follow address two-state quantum systems (with spin one-half as the primary example), entanglement of multiple two-state systems, quantum angular momentum theory and quantum approaches to statistical mechanics. A concluding chapter gives an overview of issues associated with quantum mechanics in continuous infinite-dimensional Hilbert spaces.
Preface -- 1. Postulates -- 1.1. State space -- 1.2. Time evolution -- 1.3. Quantum measurement -- 1.4. Composite systems -- 1.5. The genie2. Two-state systems -- 2.1. Schrödinger's cat -- 2.2. Expectation value; energy operator -- 2.3. Spin one-half -- 2.4. Ammonia molecule -- 2.5. Photons3. Entanglement -- 3.1. Entangled qubit pairs -- 3.2. Quantum gates -- 3.3. Utilizing entanglement -- 3.4. Large-scale quantum algorithms4. Quantum angular momentum -- 4.1. Operators for orbital angular momentum -- 4.2. Operators for spin one-half -- 4.3. Generalized angular momentum theory -- 4.4. Angular momentum addition -- 4.5. Interaction operators -- 4.6. Isospin -- 4.7. And ...5. Quantum many-body problem -- 5.1. The general case : Heisenberg XYZ spin chain -- 5.2. Ising model -- 5.3. Heisenberg XXX spin chain6. Infinity, and beyond -- 6.1. Schrödinger equation -- 6.2. Schrödinger equation in one dimension -- 6.3. Schrödinger equation in three dimensions -- 6.4. Defending the deltaAppendix A. Relevant results from linear algebra -- Appendix B. Directory of definitions and notation.
Počet záznamů: 1