Local Quantum Physics: Fields, Particles, AlgebrasSpringer Science & Business Media, 2012/12/06 - 390 ページ The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature. |
目次
1 | |
2 | |
Faradays vision Fields 2 1 Special relativity Poincaré group Lorentz group | 25 |
Action Principle | 39 |
General Quantum Field Theory 53 | 52 |
full name of the author written out references to journal articles are indicated | 61 |
OsterwalderSchrader theorem | 73 |
asymptotic particle states 4 3 Coincidence arrangements of detectors | 95 |
Low Dimensional SpaceTime and Braid Group Statistics | 192 |
Modular Automorphisms and Modular Conjugation | 216 |
Modular Automorphisms of Local Algebras | 245 |
Phase Space Nuclearity Split Property Local Equilibrium | 254 |
The Universal Type of Local Algebras | 267 |
The Particle Content | 279 |
3 Remarks on the particle picture and its completeness | 289 |
Niels Bohrs epistemological considerations Realism Physical systems and | 304 |
Von Neumann Algebras CAlgebras WAlgebras | 112 |
few remarks on notation and specific symbols Vectors and matrix elements | 127 |
The Net of Algebras of Local Observables | 128 |
The Vacuum Sector | 143 |
and Exchange Symmetry | 149 |
The BuchholzFredenhagenAnalysis | 174 |
Retrospective and Outlook | 323 |
Supersymmetry | 329 |
The Challenge from General Relativity | 332 |
349 | |
387 | |
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adjoint arbitrary argument assumption asymptotic automorphism axiom C*-algebra called canonical canonical commutation relations causal Chapter charge classical commutation relations complex components cone configuration consider convergence coordinate corresponding covariant defined denote density described Dirac discussion energy equation equivalent factor finite Fock space free fields gauge H₁ Haag hand side Hermitean Hilbert space infinite integral interaction invariant irreducible representations Lagrangean lemma localized Lorentz group Lorentz transformations mass Math mathematical measurement metric Minkowski space Neumann algebra norm normal observables P₁ permutation Phys physical Poincaré group positive principle quantum field theory quantum mechanics quantum theory R₁ region satisfies scalar product single particle space-like space-time Spect spectral spectrum spin spinor statistics structure subspace symmetry tensor theorem tion topology translations unitary vacuum vanish vector von Neumann algebra wave function Wightman Wightman functions x-space zero