Fixed-point perturbation theory and the potential r2+ λr2/(1+gr2). I. Analysis of convergence
- 21 December 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (18) , 3441-3448
- https://doi.org/10.1088/0305-4470/17/18/014
Abstract
The simplest illustration of the recently suggested asymptotic-perturbative approach to the band-matrix Hamiltonians is found in the harmonic oscillator complemented by the non-polynomial anharmonicity lambda r2/(1+gr2). In the paper, the detailed construction of the effective Hamiltonian is given and the convergence of its fixed-point expansion is shown.Keywords
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