A concise introduction to quantum mechanics /

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"Version: 20231001"--Title page verso.Includes bibliographical references.1. Classical mechanics and electromagnetism -- 1.1. Newtonian mechanics -- 1.2. Light and electromagnetism -- 1.3. Newtonian point particle solutions2. The origins of quantum mechanics -- 2.1. Blackbody radiation and Planck's constant -- 2.2. Light and photons -- 2.3. Electron diffraction and the de Broglie wavelength -- 2.4. Bohr and the atom -- 2.5. The need for further development3. The wave function and observable quantities -- 3.1. Basic properties of the wave function -- 3.2. A review of complex variables -- 3.3. Fourier analysis and function spaces -- 3.4. The complex valued wave function -- 3.5. Observables in wave mechanics -- 3.6. Superposition and mixed states4. Formal wave mechanics -- 4.1. The Schr?odinger equation -- 4.2. General properties of the Schr?odinger equation solutions -- 4.3. Stationary solutions to the Schr?odinger equation -- 4.4. A simple example : the one-dimensional well -- 4.5. The Heisenberg uncertainty principle -- 4.6. Minimum uncertainty wave functions5. Applications of wave mechanics -- 5.1. Barrier reflection and tunneling -- 5.2. The one-dimensional harmonic oscillator -- 5.3. The hydrogen atom -- 5.4. A charged particle in a uniform and constant magnetic field6. Dirac notation and the matrix formulation -- 6.1. Hilbert space -- 6.2. Dirac notation -- 6.3. Matrices and basic linear algebra -- 6.4. Matrix representations of quantum mechanics -- 6.5. Operator methods in quantum mechanics -- 6.6. Matrix analysis of the Hamiltonian -- 6.7. Electron diffraction revisited7. Symmetry, angular momentum, and multiparticle states -- 7.1. Quantum mechanical observables as symmetry generators -- 7.2. Rotation group theory -- 7.3. Rotations and quantum mechanics -- 7.4. General angular momentum -- 7.5. The Stern-Gerlach experiment and electron spin -- 7.6. Multiparticle states and statistics -- 7.7. Angular momentum addition -- 7.8. Multiparticle states, entanglement, and decoherence8. Approximation techniques -- 8.1. Stationary perturbation theory -- 8.2. Atomic fine structure -- 8.3. Time-dependent perturbation theory -- 8.4. The sudden approximation -- 8.5. The interaction picture and the evolution operator -- 8.6. The path integral transition amplitude9. Scattering -- 9.1. Basic concepts of scattering -- 9.2. Basic aspects of quantum mechanical scattering -- 9.3. Partial wave analysis -- 9.4. Green's function techniques -- 9.5. Formal scattering theory.This extended and updated second edition course text presents a logical and concise introduction to the basic concepts, applications, and physical meaning of quantum mechanics. An initial review of classical mechanics and electromagnetism provides the reader with the context for quantum mechanics. Starting with atomic level experimental results, the probabilistic nature of quantum mechanics is derived, with the wave function related to the statistical theory of random variables. Applying the requirement of Galilean invariance yields the Schr?odinger equation, and the Copenhagen interpretation of the wave function is discussed. After numerous basic applications of wave mechanics, including the hydrogen atom and the harmonic oscillator, the text then presents Dirac notation and Hilbert space theory. New chapters discuss perturbation theory, path integrals, scattering theory, and quantum entanglement.General/trade and professional and scholarly.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Mark Swanson, PhD, is Emeritus Professor of Physics at the University of Connecticut and lives in Monroe, Connecticut. He received his PhD in physics from the University of Missouri at Columbia. He held postdoctoral appointments at the University of Alberta and the University of Connecticut, as well as a faculty appointment at the University of Connecticut at Stamford. He is the author of 25 research articles and two monographs, with an emphasis on field theory and path integral techniques.Title from PDF title page (viewed on November 1, 2023).

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750356633

Classification

530.12

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-

Edition

Second edition.

Subject(s)

Quantum theory.
SCIENCE / Physics / Quantum Theory.

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Statement of Responsibility

Mark S. Swanson.

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