Superconvergent Perturbation Method in Quantum Mechanics

Details Superconvergent Perturbation Method in Quantum Mechanics Superconvergent Perturbation Method in Quantum Mechanics

1994-12-30

arxiv.org/abs/quant-ph/9412009v1

Phys.Rev.Lett.74:1495-1499,1995

Physics

Quantum Physics

11 pages, LaTeX

Scientific paper

10.1103/PhysRevLett.74.1495

An analogue of Kolmogorov's superconvergent perturbation theory in classical
mechanics is constructed for self adjoint operators. It is different from the
usual Rayleigh--Schr\"odinger perturbation theory and yields expansions for
eigenvalues and eigenvectors in terms of functions of the perturbation
parameter.

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