sigma11-054. 286KB Jun 04 2011 12:10:53 AM
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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..
As a consequence we have studied the conjugate Hamiltonian equations for the second type of Li´enard equation which resembles the Gambier equation in certain respects and have
In this paper, we will apply these methods to the study of the representation theory for quadratic algebras generated by second-order superintegrable systems in 2D and their
The parameter differentiation formulae given in [ 5 ] are derivatives for associated Legendre functions of the first and second kind with respect to the degree, evaluated
The types of anisotropic evaporation coefficient are found for which the evaporation-condensation evolution does or does not have solutions that are analogous to the basic solutions
Thus, we extended the Lie derivative approach to the study of Hamiltonian operators com- patible with a given Hamiltonian operator P from finite-dimensional Poisson structures [26,
In particular, it has been shown that their integrals of motion generate a quadratic Poisson algebra (in the classical case) or a quadratic associative algebra (in the quantum one)
When the higher dimensional conformal tensor vanishes because the space is conformallly flat, the lower-dimensional Kaluza–Klein func- tions satisfy equations that coincide with