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As a first step towards a geometric construction of asymptotic expansions for the Moyal type restriction, we obtain an integral representation for the Moyal restriction
For example the Deligne conjecture: the Hochschild cochain complex CH ∗ ( A ) of an associative algebra A is a homotopy Gerstenhaber algebra (or more precisely, an algebra over
mass (PDM) in the Schr¨odinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has recently been devised for genera-
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on
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
This definition must generalize the definition of transitive Lie algebra, and incorpo- rate the fact that we can reconstruct an intransitive linear Lie equation from its restriction
The invertible transformations allow us to obtain objects associated with integrability of equations ( 1.13 ), ( 1.17 ) (such as conservation laws and higher symmetries) from
We apply the Painlev´e test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by
