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A simple example of a singular perturbation expansion (1970)

Dettmann, K. ; Leibfried, G.

Springer

The European physical journal 234 (1970), S. 181-184

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ISSN: 1434-601X

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract For the Hamiltonianℋ=−∂ x 2 -αδ(x)+λx 2 the bound-(λ〉0) and resonance(λ〈0) states are discussed. The perturbation expansion of the ground-stateɛ 0(λ) in powers ofλ is divergent for allλ. The nature of the singularity atλ=0 is investigated and it turns out, that the perturbation series is asymptotic and therefore useful even forλ〈0.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01396780

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