Relativity, symmetry, and the structure of quantum theory. Volume 2, Point form relativistic quantum mechanics / William H. Klink, Wolfgang Schweiger.
Τύπος υλικού: ΚείμενοΣειρά: IOP concise physicsΛεπτομέρειες δημοσίευσης: San Rafael [Καλιφόρνια] : Morgan & Claypool Publishers, c2018.Περιγραφή: 1 ηλεκτρονική πηγή (ποικίλες σελιδαριθμήσεις) : εικ. (μερ. έγχρ.)ISBN:- 9781681748917
- 9781681748894
- 530.12 23
Περιλαμβάνει βιβλιογραφικές παραπομπές.
1. Introduction -- 2. Einstein relativity and one-particle Poincaré quantum theory -- 2.1. The Poincaré group -- 2.2. Irreducible representations of the Poincaré group
3. Relativistic acceleration -- 3.1. Relativistic acceleration transformations -- 3.2. Representations of the Diff group -- 3.3. Unitary operators representing acceleration transformations and fictitious 'forces' -- 3.4. Spin in accelerated systems -- 3.5. The four-momentum operator in curved space-time
4. Interactions in multiparticle systems -- 4.1. Multiparticle variables and velocity states -- 4.2. Interacting mass and four-momentum operators -- 4.3. Cluster separability and the boost as separation operator -- 4.4. Particle production and coupled channel mass operators
5. Applications -- 5.1. The electromagnetic current of a bound system -- 5.2. Mass renormalization and resonances -- 5.3. Electron scattering off a bound system -- 6. Conclusion -- Appendix A. Normalizations, Clebsch-Gordan coefficients, and intertwining operators.
This book covers relativistic quantum theory from the point of view of a particle theory, based on the irreducible representations of the Poincaré group, the group that expresses the symmetry of Einstein relativity. There are several ways of formulating such a theory; this book develops what is called relativistic point form quantum mechanics, which, unlike quantum field theory, deals with a fixed number of particles in a relativistically invariant way. A chapter is devoted to applications of point form quantum mechanics to nuclear physics.