sigma11-023. 562KB Jun 04 2011 12:10:49 AM
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The dynamics is locally trivial or topological in the pure gravity case, but we can construct a dynamical field theory with a z = 2 dispersion relation by introducing a dilaton
When ∇ i hits the second factor, we get a complete contraction that is equal to a complete contraction of length σ +1 (this is due to the antisymmetry of the indices i, j ).. , ψ s)
Considering one-dimensional (1D) quantum [1] and classical [2] Hamiltonians with polynomial ladder operators (i.e. polynomial in the momenta) satisfying a polynomial Heisenberg
For a weighted arrangement of affine hyperplanes, we will construct (under certain assumptions) a quantum integrable model, that is, a vector space W with a symmetric bilinear form
We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of
For cases where numerical analysis is required, it is also relatively straightforward to construct graphs of the phase-space curves using the series solutions, augmented by
classes of meromorphic functions defined by using the multiplier transformation and hypergeometric function and investigate various inclusion relationships for these subclasses.
On the other hand, the generalized Bessel function was expressed for A and B -types root systems via multivariate hypergeometric series of two arguments and of Jack parameter
