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Path integral quantization /
This book is a self-contained and concise introduction to the techniques and applications of path integral quantization and functional techniques, aimed at students and practitioners. The first half of the text focuses on quantum mechanics, including a review of the action formulation of classical m...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2020]
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| Colección: | IOP ebooks. 2020 collection.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 024 | 7 | |a 10.1088/978-0-7503-3547-8 |2 doi | |
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| 035 | |a (OCoLC)1193061528 | ||
| 040 | |a CaBNVSL |b eng |e rda |c CaBNVSL |d CaBNVSL | ||
| 050 | 4 | |a QC174.17.P27 |b S837 2020eb | |
| 072 | 7 | |a PHQ |2 bicssc | |
| 072 | 7 | |a SCI057000 |2 bisacsh | |
| 082 | 0 | 4 | |a 530.12 |2 23 |
| 100 | 1 | |a Swanson, Mark S., |d 1947- |e author. | |
| 245 | 1 | 0 | |a Path integral quantization / |c Mark S. Swanson. |
| 264 | 1 | |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |b IOP Publishing, |c [2020] | |
| 300 | |a 1 online resource (various pagings) : |b illustrations (some color). | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a electronic |2 isbdmedia | ||
| 338 | |a online resource |2 rdacarrier | ||
| 490 | 1 | |a IOP ebooks. [2020 collection] | |
| 500 | |a "Version: 20200801"--Title page verso. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 1. Preliminaries -- 1.1. Functionals and classical mechanics -- 1.2. The operator formulation of quantum mechanics -- 1.3. Operator identities -- 1.4. Grassmann variables -- 1.5. Gaussian integrals -- 1.6. Poisson resummation | |
| 505 | 8 | |a 2. The quantum mechanical path integral -- 2.1. The infinitesimal transition element -- 2.2. The basic quantum mechanical path integral -- 2.3. The path in path integrals -- 2.4. Discrete systems and path integrals -- 2.5. Path integrals with singular coordinates and potentials -- 2.6. The harmonic oscillator and coherent state path integrals -- 2.7. Grassmann quantum mechanics and path integrals | |
| 505 | 8 | |a 3. Evaluating the path integral -- 3.1. Performing the intermediate integrations -- 3.2. Classical paths and continuum methods -- 3.3. The harmonic oscillator -- 3.4. The semiclassical approximation -- 3.5. Energy eigenfunctions and the path integral -- 3.6. Coherent state path integrals and difference equations -- 3.7. Generating functionals and perturbation theory -- 3.8. The partition function -- 3.9. Symmetry and canonical transformations -- 3.10. Implementing constraints | |
| 505 | 8 | |a 4. Quantum field theory and path integrals -- 4.1. Special relativity and relativistic notation -- 4.2. Action functionals and relativistic fields -- 4.3. Canonical quantization of free fields -- 4.4. Interacting fields and particle processes -- 4.5. The interaction picture in field theory -- 4.6. Coherent states and the scalar field path integral -- 4.7. Coherent states and the Dirac bispinor path integral -- 4.8. Configuration space techniques and quadratic path integrals -- 4.9. The gauge field path integral | |
| 505 | 8 | |a 5. Basic quantum field theory applications -- 5.1. Perturbation theory -- 5.2. Generating functionals -- 5.3. Interaction symmetries and conservation laws -- 5.4. Yang-Mills gauge field theory -- 5.5. Non-perturbative aspects of 1 + 1 Yang-Mills theory -- 5.6. The Dirac quantization condition -- 5.7. The effective potential and spontaneously broken symmetry. | |
| 520 | 3 | |a This book is a self-contained and concise introduction to the techniques and applications of path integral quantization and functional techniques, aimed at students and practitioners. The first half of the text focuses on quantum mechanics, including a review of the action formulation of classical mechanics and quantum mechanics in the Dirac operator and state formalism, and further examination of the path integral. The second part examines relativistic field theories, reviewing special relativity, as well as derivation of the path integral representation of the vacuum transition element for quantized scalar, spinor, and vector fields from the coherent state representation of the respective field theories. | |
| 521 | |a Its intended audience is both the student and practitioner who desires a basic and concise introductory overview of path integral and functional method. | ||
| 530 | |a Also available in print. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 538 | |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. | ||
| 545 | |a Mark Swanson received his PhD in physics from the University of Missouri at Columbia in 1976 under the supervision of Justin Huang. After postdoctoral appointments at the University of Alberta and the University of Connecticut he held a faculty appointment at the University of Connecticut at Stamford from 1983 to 2014, during which time he spent six years in university administrative roles. He is the author of 25 research articles and three other monographs with an emphasis on field theory and path integral techniques. He is currently Emeritus Professor of Physics at the University of Connecticut. | ||
| 588 | 0 | |a Title from PDF title page (viewed on September 3, 2020). | |
| 650 | 0 | |a Path integrals. | |
| 650 | 0 | |a Quantum theory. | |
| 650 | 0 | |a Quantum field theory. | |
| 650 | 7 | |a Quantum physics (quantum mechanics & quantum field theory). |2 bicssc | |
| 650 | 7 | |a SCIENCE / Physics / Quantum Theory. |2 bisacsh | |
| 710 | 2 | |a Institute of Physics (Great Britain), |e publisher. | |
| 776 | 0 | 8 | |i Print version: |z 9780750335454 |z 9780750335485 |
| 830 | 0 | |a IOP ebooks. |p 2020 collection. | |
| 856 | 4 | 0 | |u https://iopscience.uam.elogim.com/book/978-0-7503-3547-8 |z Texto completo |