Relativity, Symmetry and the Structure of Quantum Theory I: Galilean quantum theory
- physics
- Categories:Physics
- Language:English(Translation Services Available)
- Publication date:March,2018
- Pages:96
- Retail Price:(Unknown)
- Size:190mm×234mm
- Page Views:128
- Words:(Unknown)
- Star Ratings:
- Text Color:Black and white
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Description
But this is not the only possibility for a relativistic quantum theory. In this book we take the point of view of a particle theory, based on the irreducible representations of the Poincare group, the group that expresses the symmetry of Einstein relativity. There are several ways of formulating such a theory; we develop 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 central issue in any relativistic quantum theory is how to introduce interactions without spoiling relativistic invariance. We show that interactions can be incorporated in a mass operator, in such a way that relativistic invariance is maintained. Surprisingly for a relativistic theory, such a construction allows for instantaneous interactions; in addition, dynamical particle exchange and particle production can be included in a multichannel formulation of the mass operator. For systems of more than two particles, however, straightforward application of such a construction leads to the undesirable property that clusters of widely separated particles continue to interact with one another, even if the interactions between the individual particles are of short range. A significant part of this volume deals with the solution of this problem.
Since relativistic quantum mechanics is not as well-known as relativistic quantum field theory, a chapter is devoted to applications of point form quantum mechanics to nuclear physics; in particular we show how constituent quark models can be used to derive electromagnetic and other properties of hadrons.
Author
Wolfgang Schweiger received his PhD from the University of Graz, Austria. After a few postdoc years in Germany he went back to Graz where he is now associate professor of theoretical physics. The main research activities concentrate on the theoretical treatment of few body problems in low and intermediate energy hadron physics by means of relativistic quantum mechanics and QCD perturbation theory. Further research interests include classically integrable systems like soliton equations.