sigma09-091. 253KB Jun 04 2011 12:10:32 AM
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Then we relate, the radial part of the d -dimensional conformal mechanics with the Klein model of the Lobachevsky space, which is completely similar to the
The algebraic approach to the solution of the model is presented in Section 3 , in this section the stationary states are expressed through the state vectors of the model and the
In the quantum brachistochrone problem, finding the shortest possible time requires only the solution of the two-dimensional problem, namely, finding the optimal time evolution for
Key words: exterior differential systems; variation of Hodge structure, Noether–Lefschetz locus; period domain; integral manifold; Hodge conjecture; Pfaffian system; Chern
We consider trigonometric solutions of WDVV equations and derive geometric conditions when a collection of vectors with multiplicities determines such a solution.. We incorporate
It is known for some time that the deformations of the standard canonical commutation relations between the position operator P and the momentum operator X will inevitably lead to
Since for a differential equation with an involutive symbol the obstructions to involution va- nish and for an involutive differential equation the integrability conditions vanish,
Namely, symplectic quotients of Donaldson’s symplectic space can be identified with Weinstein’s symplectic spaces in the particular case of leaves consisting of positive
