sigma10-047. 299KB Jun 04 2011 12:10:40 AM
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Thus, we obtain the explicit description of the Hermitian irreducible representations of the discrete series for the noncompact quantum algebra U q ( u ( n, 1)) by the reduction
The mechanical analogy in the search for solitary waves in (1 + 1)-dimensional relativistic field theories, [ 9 ], is the re- reading of the static field equations as the
After carefully reviewing the commutative results of Ward and Ruback, the noncommutative K¨ ahler potential is expanded in powers of dimensionless moduli.. In two special cases we
Instead, we have to work a bit harder to establish ( 8 ) using uniform estimates on the classical Jacobi polynomials.. We assume here for simplicity that the polynomial F has
In addition, the same set of conditions that are sufficient for one-loop finiteness of the soft breaking terms render the soft sector of the theory two-loop finite [ 65 ].. The one-
In particular, our examples show that, in contrast to point transformations (S. Lie results), for a linearization problem via the generalized Sundman transformation one needs to use
Section 3 contains the construction of the non-commutative punctured disk and the first type of noncommutative analogs of the operator from the previous section.. The operators here
For instance, applying a Berry-phase argument to a Bloch electron in a lattice, the standard semiclassical equations [ 62 ] are modified by new terms [ 22 ], generating purely
