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Path integral quantization /

Swanson, Mark S., (1947-)

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Path integral quantization /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Path integral quantization // Mark S. Swanson.
作者:	Swanson, Mark S.,
出版者:	Bristol [England] :IOP Publishing Ltd, : c2020. ,
面頁冊數:	1 v. (various pagings) :ill. ;26 cm.
附註:	"Version: 20200801"--Title page verso.
內容註:	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
內容註:	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
內容註:	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
內容註:	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
內容註:	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.
標題:	Path integrals. -
ISBN:	9780750335485

Path integral quantization /
Swanson, Mark S.,1947-

Path integral quantization /Mark S. Swanson. - Bristol [England] :IOP Publishing Ltd,c2020. - 1 v. (various pagings) :ill. ;26 cm. - IOP ebooks. - IOP ebooks..

"Version: 20200801"--Title page verso.

Includes bibliographical references.

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

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.

ISBN: 9780750335485GBP25Subjects--Topical Terms:

3756681
Path integrals.

LC Class. No.: QC174.17.P27 / S837 2020

Dewey Class. No.: 530.12

Path integral quantization /
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245 1 0 $a Path integral quantization / $c Mark S. Swanson.
260 # $a Bristol [England] : $b IOP Publishing Ltd, $c c2020.
300 $a 1 v. (various pagings) : $b ill. ; $c 26 cm.
490 1 $a IOP ebooks
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.
650 # 0 $a Path integrals. $3 3756681
650 # 0 $a Quantum theory. $3 2012593
650 # 0 $a Quantum field theory. $3 523766
710 2 # $a Institute of Physics (Great Britain) $3 3756679
830 0 $a IOP ebooks. $3 3756680