sigma09-005. 2416KB Jun 04 2011 12:10:22 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
A linear operator acting in a Hilbert space and defined on the whole space is called completely continuous if it maps bounded sets into relatively compact sets (a set is
Thus, an integrable hydrodynamic chain possesses the properties that are well-known in the theory of finite-component systems (dispersive or dispersionless), such as infinite series
The aim of this paper is to show that it is possible to tackle the problem of quantizing an extension of the PU oscillator within a Lagrangian and a canonical ormulation, using
In the case of complex periodic potential the spectrum of the matrix S of e can contain values located inside of the continuous spectrum of the corresponding Hamiltonian h and
In this paper will be presented some results about the optimal quadrature’s formulas of Sard type and there, starting from considerations, a generalization for the cubature’s
In Section 3 we give two examples, showing that this result allows to obtain computationally feasible formulas for the price bounds of contingent claims in general discrete-time
This is in contrast with the Yang–Mills theory, where one can formulate the gauge principle, to derive transformation properties of the vector gauge field and to find out
