The Theory of Symmetry Actions in Quantum Mechanics
Cassinelli, Gianni.
The Theory of Symmetry Actions in Quantum Mechanics with an Application to the Galilei Group / [electronic resource] : by Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero. - XII, 111 p. online resource. - Lecture Notes in Physics, 654 0075-8450 ; . - Lecture Notes in Physics, 654 .
A Synopsis of Quantum Mechanics -- The Automorphism Group of Quantum Mechanics -- The Symmetry Actions and Their Representations -- The Galilei Groups -- Galilei Invariant Elementary Particles -- Galilei Invariant Wave Equations.
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.
9783540445098
10.1007/b99455 doi
Mathematical physics.
Quantum theory.
Topological Groups.
Group theory.
Mathematical Methods in Physics.
Quantum Physics.
Topological Groups, Lie Groups.
Group Theory and Generalizations.
QC5.53
530.15
The Theory of Symmetry Actions in Quantum Mechanics with an Application to the Galilei Group / [electronic resource] : by Gianni Cassinelli, Ernesto De Vito, Pekka J. Lahti, Alberto Levrero. - XII, 111 p. online resource. - Lecture Notes in Physics, 654 0075-8450 ; . - Lecture Notes in Physics, 654 .
A Synopsis of Quantum Mechanics -- The Automorphism Group of Quantum Mechanics -- The Symmetry Actions and Their Representations -- The Galilei Groups -- Galilei Invariant Elementary Particles -- Galilei Invariant Wave Equations.
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.
9783540445098
10.1007/b99455 doi
Mathematical physics.
Quantum theory.
Topological Groups.
Group theory.
Mathematical Methods in Physics.
Quantum Physics.
Topological Groups, Lie Groups.
Group Theory and Generalizations.
QC5.53
530.15