Symmetry and Supersymmetry in Quantal ManyBody Systems
 A. Frank,
 P. Van Isacker,
 J. Jolie
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Symmetry, together with its mathematical formulation in terms of group theory, has played an increasingly pivotal role in quantum mechanics. Although symmetry ideas can be applied to classical physics, they have become of central importance in quantum mechanics. To illustrate the generic nature of the idea of symmetry, suppose one has an isolated physical system which does not interact with the outside world. It is then natural to assume that the physical laws governing the system are independent of the choice of the origin, the orientation of the coordinate system and the origin of the time coordinate. The laws of (quantum) physics should thus be invariant with respect to certain transformations of our reference frame. This simple statement leads to three fundamental conservation laws which greatly simplify our description of nature: conservation of energy, linear momentum and angular momentum. On these three conservation laws much of classical mechanics is built. These quantities are
Inside
Within this Chapter
 Symmetry in Quantum Mechanics
 Dynamical Symmetries in Quantal ManyBody Systems
 The Algebraic Approach
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 Title
 Symmetry and Supersymmetry in Quantal ManyBody Systems
 Book Title
 Symmetries in Atomic Nuclei
 Book Subtitle
 From Isospin to Supersymmetry
 Pages
 pp 127
 Copyright
 2009
 DOI
 10.1007/9780387874951_1
 Print ISBN
 9780387874944
 Online ISBN
 9780387874951
 Series Title
 Springer Tracts in Modern Physics
 Series Volume
 230
 Series ISSN
 00813869
 Publisher
 Springer New York
 Copyright Holder
 SpringerVerlag New York
 Additional Links
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 Authors

 A. Frank ^{(4)}
 P. Van Isacker ^{(5)}
 J. Jolie ^{(6)}
 Author Affiliations

 4. University of Mexico, Mexico
 5. GANIL, Caen, France
 6. University zu Köln, Köln, Germany
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