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|a (TOE)ost28358
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|a (TOE)28358
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|a TOE
|c TOE
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|a GDWR
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|a 66
|2 edbsc
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|a E 1.99:DOE/ER/40757--058
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|a E 1.99:DOE/ER/40757--058
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|a DOE/ER/40757--058
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|a DE95007100
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|a CPP-94-35
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|a Coordinates of the quantum plane as q-tensor operators in U{sub q} (su(2) * su(2))
|h [electronic resource]
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260 |
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|a Washington, D.C. :
|b United States. Dept. of Energy ;
|a Oak Ridge, Tenn. :
|b distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy,
|c 1995.
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|a 18 p.
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336 |
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|a text
|b txt
|2 rdacontent.
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|a computer
|b c
|2 rdamedia.
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|a online resource
|b cr
|2 rdacarrier.
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|a Published through the Information Bridge: DOE Scientific and Technical Information.
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|a 01/13/1995.
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|a "DOE/ER/40757--058"
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|a "DE95007100"
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|a "CPP-94-35"
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|a Biedenharn, L.C.; Lohe, M.A.
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|a Texas Univ., Austin, TX (United States)
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|a The relation between the set of transformations M{sub q}(2) of the quantum plane and the quantum universal enveloping algebra U{sub q}(u(2)) is investigated by constructing representations of the factor algebra U{sub q} (u(2) * u(2)). The non-commuting coordinates of M{sub q}(2), on which U{sub q}(2) * U{sub q}(2) acts, are realized as q-spinors with respect to each U{sub q}(u(2)) algebra. The representation matrices of U{sub q}(2) are constructed as polynomials in these spinor components. This construction allows a derivation of the commutation relations of the noncommuting coordinates of M{sub q}(2) directly from properties of U{sub q}(u(2)). The generalization of these results to U{sub q}(u(n)) and M{sub q}(n) is also discussed.
|
536 |
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|b FG03-93ER40757.
|
650 |
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7 |
|a Lie Groups.
|2 local.
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650 |
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|a Quantization.
|2 local.
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650 |
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7 |
|a Geometry.
|2 local.
|
650 |
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7 |
|a Commutation Relations.
|2 local.
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650 |
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7 |
|a Irreducible Representations.
|2 local.
|
650 |
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7 |
|a Group Theory.
|2 local.
|
650 |
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7 |
|a Transformations.
|2 local.
|
650 |
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|a Angular Momentum.
|2 local.
|
650 |
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7 |
|a Quantum Operators.
|2 local.
|
650 |
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7 |
|a Boson Expansion.
|2 local.
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650 |
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7 |
|a Coordinates.
|2 local.
|
650 |
|
7 |
|a Physics.
|2 edbsc.
|
710 |
2 |
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|a United States.
|b Department of Energy.
|4 spn.
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710 |
2 |
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|a United States.
|b Department of Energy.
|b Oakland Operations Office.
|4 res.
|
710 |
2 |
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|a United States.
|b Department of Energy.
|b Office of Scientific and Technical Information.
|4 dst.
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4 |
0 |
|u http://www.osti.gov/servlets/purl/28358-ap7eIC/webviewable/
|z Online Access
|
907 |
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|a .b56577485
|b 03-06-23
|c 12-20-09
|
998 |
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|a web
|b 12-20-09
|c f
|d m
|e p
|f eng
|g dcu
|h 0
|i 1
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956 |
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|a Information bridge
|
999 |
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|i eca7aa0f-eda5-57a2-9f59-4dadb8fd5baa
|s bfe95243-ccc7-5864-898a-e63a9c8f38d9
|
952 |
f |
f |
|p Can circulate
|a University of Colorado Boulder
|b Online
|c Online
|d Online
|e E 1.99:DOE/ER/40757--058
|h Superintendent of Documents classification
|i web
|n 1
|