Does the circle group equal the special unitary group of one dimension ?-Craig Pemberton 08 : 44, 26 December 2009 ( UTC)
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In group theoretic language, the Pauli matrices are the generators of the special unitary group in two dimensions, denoted SU ( 2 ).
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The special unitary group is the symmetry group of quantum chromodynamics and the symplectic group finds application in hamiltonian mechanics and quantum mechanical versions of it.
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A Physicist turned Mathematician, Rashid has made numerous contributions in Special unitary group, Applied Mathematics, SO ( 2 ), and dark energy.
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The subgroup of the unitary group consisting of matrices of determinant 1 is called the "'special unitary group "'and denoted or.
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In mathematics, the "'special unitary group "'of degree, denoted, is the Lie group of standard inner product on.
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The dynamical symmetry group of the " n " dimensional quantum harmonic oscillator is the special unitary group SU ( " n " ).
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Examples include the special orthogonal group ( which if " n " is 2 or 3 consists of all rotation matrices ), and the special unitary group.
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The algebra su ( 2 ) of the special unitary group SU ( 2 ) is three-dimensional, with generators given by the Pauli matrices \ sigma _ i.
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If the gauge symmetry is a unitary group or special unitary group then this characteristic class is the second Chern class, which vanishes in the case of the gauge group U ( 1 ).
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