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Titlebook: Large Order Perturbation Theory and Summation Methods in Quantum Mechanics; G. A. Arteca,F. M. Fernández,E. A. Castro Book 1990 Springer-V

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Application of the VFM to One-Dimensional Systems with Trivial Boundary ConditionsLet us consider a 2K- anharmonic oscillator, defined by the Hamiltonian .which, due to the Symanzik Theorem /1/, satisfies the unitary equivalence relationship (Appendix A) ..
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Multidimensional Systems: The Problem of the Zeeman Effect in HydrogenThe aim of this chapter is to present an up-to-date, general overview of a problem of current interest: the properties of matter placed in strong magnetic fields. Moreover, we shall discuss here different theoretical methods that have been developed and applied to study several phenomena appearing under the effect of external magnetic fields.
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Properties of the FM: Series with Zero Convergence RADIIThis section starts the analysis of models with power series expansions with zero convergence radius. Our first aim is to apply the formalism developed in §.44 to a simple model with the above features and to determine the conditions under which the FM leads to a convergent sequence.
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