Abstract
In this chapter we show that the Rayleigh-Schrödinger perturbation theory is a special case of a solution of an autonomous system of differential equations. Furthermore, we discuss perturbation theory for an anharmonic oscillator. Let be a Hamilton operator with discrete spectrum for ε ≥ 0. Assume further that the eigenvalues are not degenerate. Eigenfunctions are assumed to be real orthonormal. Furthermore the eigenvalues and eigenfunctions of Ĥ0 are known.
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© 1998 Springer Science+Business Media Dordrecht
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Steeb, WH. (1998). Perturbation Theory. In: Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics. Mathematics and Its Applications, vol 451. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5332-4_18
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DOI: https://doi.org/10.1007/978-94-011-5332-4_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6241-1
Online ISBN: 978-94-011-5332-4
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