On the connection between perturbation theory and new semiclassical expansion in quantum mechanics

It is shown that for the one-dimensional anharmonic oscillator with potential V(x)=ax2+bgx3+…=1g2Vˆ(gx), as well as for the radial oscillator V(r)=1g2Vˆ(gr) and for the perturbed Coulomb problem V(r)=αr+βgr+…=gV˜(gr), the Perturbation Theory in powers of the coupling constant g (weak coupling regime...

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Bibliographic Details
Main Authors: A.V. Turbiner, E. Shuryak
Format: Article
Language:English
Published: Elsevier 2023-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321323000469