Inverse dimension expansions

Abstract

Two toy Hamiltonians of anharmonic oscillators are considered. Both of them are found exactly solvable not only in the limit of infinite spatial dimension D but also in the next D ≫ 1 approximation. This makes all their bound states tractable via perturbation series in 1/ √ D ≪ 1.

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Cite this paper

@inproceedings{Znojil2001InverseDE, title={Inverse dimension expansions}, author={Miloslav Znojil}, year={2001} }