Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899371 | Reports on Mathematical Physics | 2008 | 15 Pages |
Abstract
We investigate the perturbation series for the spectrum of a class of Schrödinger operators with potential V = ½x2 + gm−1x2m / (1 + αgx2) which generalize particular cases investigated in the literature in connection with models in laser theory and quantum field theory of particles and fields. It is proved that the series obey a modified strong asymptotic condition of order (m − 1) and have an order (m − 1) strong asymptotic series in g which are shown to be summable in the sense of Borel-Leroy method.
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Mathematical Physics