sigma07-108. 389KB Jun 04 2011 12:10:09 AM
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In the case of isospectral Lax equations, such as the Mumford system, this procedure should lead to a Hamiltonian form of equations of motion for the spectral Darboux
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)
An impressive number of examples have by now established the fact that both partial differential and difference equations integrable through spectral methods possess the
Quantization method for the Friedmann–Lemaˆıtre Universe based on the canonical Hamilton equations of motion is proposed and quantum information theory way to physics of the Universe
In noncommutative geometry [ 12 ] there is one specific application of the heat kernel expansion which is related to the spectral action principle [ 8 ].. The Dirac operator squared
The Feynman diagrams in such a theory become finite under the assumption there should be no scales in internal lines smaller than the minimal of scales of external lines..
There are basically three important families of polynomials associated with the root system of type A, namely, the Jack type polynomials, the Laguerre polynomials, and the MP
The article discusses how the self-adjoint domains can be identified in terms of a boundary condition for the asymptotic behaviour of the wave functions around the singularity, and