Lecture Notes in Physics

2 primary works

Operational Quantum Physics

by Paul Busch, Marian Grabowski, and Pekka J. Lahti

Published 1 August 1995

This text offers a systematic presentation of quantum mechanics, making use of the full probabilistic structure of this theory. Accordingly, the notion of an observable as a positive operator valued (POV) measure is explained in great detail, and the ensuing quantum measurement theory is developed and applied both to a resolution of long-standing conceptual and interpretational puzzles in the foundations of quantum mechanics, and to an analysis of various recent fundamental experiments.

The Theory of Symmetry Actions in Quantum Mechanics

by Gianni Cassinelli, Ernesto Vito, Alberto Levrero, and Pekka J. Lahti

Published 27 October 2004

This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.