sigma10-097. 215KB Jun 04 2011 12:10:46 AM
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MO would like to thank the organizers of the conference “Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems” held during March 30 – April 3, 2009 at Glasgow for a
In particular, our examples show that, in contrast to point transformations (S. Lie results), for a linearization problem via the generalized Sundman transformation one needs to use
In addition to proofs of classical superintegrability we show that the 2D caged anisotropic oscillator and a St¨ackel transformed version on the 2-sheet hyperboloid are
There is an argument that the action of this twisted diffeomorphism can be regarded as a remnant of the classical diffeomorphism, where the change of the background
An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra U q ( gl b 3 ) is given..
It would be useful to mention that the Hermitian version of the su(2) Hamiltonian ( 2.2 ), has been widely used in the fields of atomic and optical physics, and quantum optics, in
Using the harmonic oscillator Hamil- tonian as the initial one, we obtain the expressions of the potentials of isospectral Hamiltonians and wave functions for the case of exact
(2007) use ingenious arguments based on ideas from differential games to show that a bounded convex planar domain cannot support any shy couplings of reflected Brownian motions if