Symmetries of the Quantum State Space and Group Representations
1998 ◽
Vol 10
(07)
◽
pp. 893-924
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Keyword(s):
The homomorphisms of a connected Lie group G into the symmetry group of a quantum system are classified in terms of unitary representations of a simply connected Lie group associated with G. Moreover, an explicit description of the T-multipliers of G is obtained in terms of the ℝ-multipliers of the universal covering G* of G and the characters of G*. As an application, the Poincaré group and the Galilei group, both in 3+1 and 2+1 dimensions, are considered.
1985 ◽
Vol 38
(1)
◽
pp. 55-64
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Keyword(s):
2018 ◽
Vol 2018
(742)
◽
pp. 157-186
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Keyword(s):
1992 ◽
Vol 34
(3)
◽
pp. 379-394
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Keyword(s):
2007 ◽
Vol 17
(01)
◽
pp. 115-139
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Keyword(s):
2011 ◽
Vol 148
(3)
◽
pp. 807-834
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Keyword(s):
1986 ◽
Vol 40
(1)
◽
pp. 89-94
2007 ◽
Vol 35
(3)
◽
pp. 875-883
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Keyword(s):
2004 ◽
Vol 16
(05)
◽
pp. 603-628
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Keyword(s):