sigma11-021. 410KB Jun 04 2011 12:10:49 AM
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We solve completely these cyclic singular cosmologies at the level of their zero modes showing that an acceptable shift parameter should be purely imaginary, which in turn introduces
We showed that the symmetrizability property of the Dunkl operator L with a positive weight function w ( x ) on a symmetric interval (or a union of symmetric intervals) leads to
Considering one-dimensional (1D) quantum [1] and classical [2] Hamiltonians with polynomial ladder operators (i.e. polynomial in the momenta) satisfying a polynomial Heisenberg
In this article, we show that the second nearest neighbor correlation function can be simplified with some combinatorial formulae, and give an explicit formula for the third
In Section 6 we examine the quantum version of the hidden symmetries and analyze the gravitational and axial anomalies connected with quantum symme- try operators for Klein–Gordon
For cases where numerical analysis is required, it is also relatively straightforward to construct graphs of the phase-space curves using the series solutions, augmented by
For complex nilpotent Lie algebras with a small second derived quotient, it was found that U is the direct sum of a generalized Heisenberg algebra and an abelian Lie algebra, and that
as a maximal hypo-nilpotent ideal and prove that N can’t be a nilradical of solvable non-nilpotent 3-Lie algebras.. The organization for the rest of this paper is
