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We consider perturbation of spin′s ferromagnetic Heisenberg models in infinite volume ground state representations.
As applications, we consider perturbation of the semigroups of second quantization on an abstract Wiener space, the time evolution of euclidean quantum fields, and stochastic quantization.
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To establish our next result we consider perturbations of (1.1) that satisfy the following boundedness condition.
Finally, we consider perturbations of functions of normal operators and perturbations of functions of m-tuples of commuting self-adjoint operators.
We can also consider perturbations by magnetic fields and cases where Δ is the Laplace-Beltrami operator for asymptotically flat metrics on Rn.
In order to investigate the linear stability of phase-locked solutions of Eq. (13), we consider perturbations of the firing times which we write in the form (T_{j}^{m} = m-phi_{j}) Delta+ delta_{j}^{m}).
Recently, Chow et al. [10] and Sevryuk [11] consider perturbations of moderately degenerate integrable Hamiltonian system and prove that the first frequencies (, denotes the freedom of Hamiltonian system) of unperturbed invariant -tori can persist.
Here we consider perturbations of kni and hb, the best characterized regulators of eve 3+7.
It is a maiden application of ANFIS approach to a three unequal area hydrothermal system with GRC considering perturbation in a single area as well as in all areas.
The parametric perturbations in [4, 9, 10] are the special conditions of the considered perturbations with Ξ i = 0, i ∈ N ̲.
In the section related to dynamic problems, a detailed and effective analytical solution is initially provided for the problem of satellite relative motion considering perturbations.
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