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Existence of invariant states with singular momentum spectrum

โœ Scribed by S. Doplicher


Book ID
110655560
Publisher
Springer-Verlag,Italian Physical Society
Year
1966
Weight
174 KB
Volume
45
Category
Article
ISSN
0369-3554

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Extremal invariant states with a spectru
โœ Akitaka Kishimoto ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer ๐ŸŒ English โš– 191 KB

If the energy spectrum of an extremal invariant state w is not the whole real line, it is shown that co is either pure or uniquely decomposed into nmtually disjoint pure states in the way that co = X-~fXo~oatdt where 4~ is a pure state satisfying q~oax = 4~ with X > 0. Next we give a slightly genera