Ebook: Quantum Physics: A Functional Integral Point of View

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Content:
Front Matter....Pages i-xx
Front Matter....Pages 1-1
Quantum Theory....Pages 3-27
Classical Statistical Mechanics....Pages 28-41
The Feynman—Kac Formula....Pages 42-54
Correlation Inequalities and the Lee—Yang Theorem....Pages 55-71
Phase Transitions and Critical Points....Pages 72-87
Field Theory....Pages 88-119
Front Matter....Pages 121-121
Covariance Operator = Green’s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution....Pages 123-143
Quantization = Integration over Function Space....Pages 144-165
Calculus and Renormalization on Function Space....Pages 166-192
Estimates Independent of Dimension....Pages 193-212
Fields Without Cutoffs....Pages 213-218
Regularity and Axioms....Pages 219-233
Front Matter....Pages 235-235
Scattering Theory: Time-Dependent Methods....Pages 237-255
Scattering Theory: Time-Independent Methods....Pages 256-269
The Magnetic Moment of the Electron....Pages 270-279
Phase Transitions....Pages 280-302
The ? 4 Critical Point....Pages 304-320
The Cluster Expansion....Pages 321-343
From Path Integrals to Quantum Mechanics....Pages 344-362
Further Directions....Pages 363-376
Back Matter....Pages 377-417

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Content:
Front Matter....Pages i-xx
Front Matter....Pages 1-1
Quantum Theory....Pages 3-27
Classical Statistical Mechanics....Pages 28-41
The Feynman—Kac Formula....Pages 42-54
Correlation Inequalities and the Lee—Yang Theorem....Pages 55-71
Phase Transitions and Critical Points....Pages 72-87
Field Theory....Pages 88-119
Front Matter....Pages 121-121
Covariance Operator = Green’s Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution....Pages 123-143
Quantization = Integration over Function Space....Pages 144-165
Calculus and Renormalization on Function Space....Pages 166-192
Estimates Independent of Dimension....Pages 193-212
Fields Without Cutoffs....Pages 213-218
Regularity and Axioms....Pages 219-233
Front Matter....Pages 235-235
Scattering Theory: Time-Dependent Methods....Pages 237-255
Scattering Theory: Time-Independent Methods....Pages 256-269
The Magnetic Moment of the Electron....Pages 270-279
Phase Transitions....Pages 280-302
The ? 4 Critical Point....Pages 304-320
The Cluster Expansion....Pages 321-343
From Path Integrals to Quantum Mechanics....Pages 344-362
Further Directions....Pages 363-376
Back Matter....Pages 377-417
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