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140122 ||| eng |
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|a 9783540445098
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| 100 |
1 |
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|a Cassinelli, Gianni
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| 245 |
0 |
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|a The Theory of Symmetry Actions in Quantum Mechanics
|h Elektronische Ressource
|b with an Application to the Galilei Group
|c by Gianni Cassinelli, Ernesto Vito, Alberto Levrero, Pekka J. Lahti
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| 250 |
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|a 1st ed. 2004
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2004, 2004
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| 300 |
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|a XII, 111 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Quantum Physics
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| 653 |
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|a Group Theory and Generalizations
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| 653 |
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|a Group theory
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| 653 |
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|a Topological Groups and Lie Groups
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| 653 |
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|a Lie groups
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| 653 |
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|a Topological groups
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| 653 |
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|a Quantum physics
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Mathematical Methods in Physics
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| 700 |
1 |
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|a Vito, Ernesto
|e [author]
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| 700 |
1 |
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|a Levrero, Alberto
|e [author]
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| 700 |
1 |
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|a Lahti, Pekka J.
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Lecture Notes in Physics
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| 028 |
5 |
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|a 10.1007/b99455
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| 856 |
4 |
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|u https://doi.org/10.1007/b99455?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 530.15
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| 520 |
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|a 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
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