منابع مشابه
Duality in Perturbation Theory
Duality is applied to perturbation theory by deriving, given a series solution in a small parameter, the dual one expressed as a series having as a development parameter the inverse of the same parameter considered as large. Clues for a dual simmetry in perturbation theory are given. The method is applied in quantum mechanics to the Rayleigh-Schrödinger perturbation theory and to time-dependent...
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We expand a partial difference equation (P∆E) on multiple lattices and obtain the P∆E which governs its far field behaviour. The perturbative–reductive approach is here performed on well known nonlinear P∆Es, both integrable and non integrable. We study the cases of the lattice modified Korteweg–de Vries (mKdV) equation, the Hietarinta equation, the lattice Volterra–Kac–Van Moerbeke (VKVM) equa...
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1 Definition of the subject and its importance Perturbation Theory: Computation of a quantity depending on a parameter ε starting from the knowledge of is value for ε = 0 by deriving a power series expansion in ε, under the assumption of its existence, and if possible discussing the interpretation of the series. Perturbation theory is very often the only way to get a glimpse of the properties o...
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متن کاملA Review of Perturbation Theory
may be solved exactly, giving an energy eigenvalue spectrum E0 j with corresponding eigenstates |ψ0 j 〉. Remember, because H0 is a Hermitian operator, its eigenvalues are real, and its eigenvectors |ψ0 j 〉 form a complete set. The strategy we’re going to take is straightforward. We’re going to assume that our perturbative corrections to the Hamiltonian, λH1 +λ2H2 + ..., lead to corresponding pe...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1976
ISSN: 0035-7596
DOI: 10.1216/rmj-1976-6-1-133