Discrete quantum mechanics

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Tác giả: H. Thomas Williams

Ngôn ngữ: eng

ISBN-13: 978-1681740614

ISBN-13: 978-1681741253

ISBN-13: 978-1681742533

Ký hiệu phân loại: 530.12 Quantum mechanics (Quantum theory)

Thông tin xuất bản: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, 2015

Mô tả vật lý: 1 online resource (various pagings) : , illustrations (some color).

Bộ sưu tập: Tài liệu truy cập mở

ID: 161207

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 Schr�odinger'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.
- Chapter s 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.
Includes bibliographical references.
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