sigma09-072. 440KB Jun 04 2011 12:10:29 AM
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Using the second Drinfeld formulation of the quantized universal enveloping algebra U q ( sl c 2 ) we introduce a family of its Heisenberg-type elements which are endowed with
We are going to apply this definition of quantization to infinite-dimensional classical systems, in which both the phase space and algebra of observables are infinite-dimensional..
We remark that Killing–Yano tensors are also called Yano tensors or Killing forms, and conformal Killing–Yano tensors are sometimes referred as conformal Yano tensors, conformal
In particular we conclude that the Lorentz covariant nonlinear Dirac equations we have explicitly studied in this paper are not gauge equivalent to the linear Dirac equation.
In particu- lar, we see that these two qualitatively different kinds of formulas for basic hypergeometric functions are closely related: indeed, they are different limits of
In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty.. The spectrum in both the cases are
The results demonstrate that the contact geometry of submanifolds can offer an alter- native path to invariant data for curves besides the Fels–Olver equivariant method and
Firstly, we can formulate an auxiliary linear problem as a two-component system like that of the DKP hierarchy [ 1 ], but building blocks therein are difference (rather
