Arthur Jaffe, James Glimm

Quantum Physics

A Functional Integral Point of View

• Broschiertes Buch

Produktbeschreibung

Describes fifteen years' work which has led to the construc- tion of solutions to non-linear relativistic local field e- quations in 2 and 3 space-time dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions.

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Produktdetails

• Verlag: Springer New York / Springer US, New York, N.Y.
• 2nd ed. 1987
• Seitenzahl: 560
• Erscheinungstermin: 4. Mai 1987
• Englisch
• Abmessung: 235mm x 155mm x 30mm
• Gewicht: 838g
• ISBN-13: 9780387964775
• ISBN-10: 0387964770
• Artikelnr.: 26181813

Inhaltsangabe

I An Introduction to Modern Physics.
1 Quantum Theory.
2 Classical Statistical Mechanics.
3 The Feynman
Kac Formula.
4 Correlation Inequalities and the Lee
Yang Theorem.
5 Phase Transitions and Critical Points.
6 Field Theory.
Appendix to Part I. Hilbert Space Operators and Functional Integrals.
II Function Space Integrals.
7 Covariance Operator = Green's Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution.
8 Quantization = Integration over Function Space.
9 Calculus and Renormalization on Function Space.
10 Estimates Independent of Dimension.
11 Fields Without Cutoffs.
12 Regularity and Axioms.
III The Physics of Quantum Fields.
13 Scattering Theory: Time
Dependent Methods.
14 Scattering Theory: Time
Independent Methods.
15 The Magnetic Moment of the Electron.
16 Phase Transitions.
17 The ?4 Critical Point.
18 The Cluster Expansion.
19 From Path Integrals to Quantum Mechanics.
20 The Polymer Expansion.
21 Random Path Representations.
22 Constructive Gauge Theory and Phase Cell Localization.
23 Further Directions.