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Discrete quantum mechanics / H. Thomas Williams (Professor Emeritus, Washington and Lee University)

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: IOP concise physicsPublisher: San Rafael, CA : Morgan & Claypool Publishers, [2015]Publisher: [Bristol] : [IOP Publishing], [2015]Edition: Version: 20151201Description: 1 Online-Ressource (138 Seiten in getrennter Zählung) : DiagrammeISBN:
  • 9781681741253
  • 9781681742533
Subject(s): Additional physical formats: 9781681740614. | Erscheint auch als: 9781681740614 Druck-AusgabeMSC: MSC: *81-01 | 81P05 | 81P40 | 81R05 | 81V70 | 00A79DOI: DOI: 10.1088/978-1-6817-4125-3Online resources: Summary: 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.PPN: PPN: 845352628Package identifier: Produktsigel: ZDB-135-ICP | ZDB-135-IAL
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