Isochronous oscillatory motions and the quantum spectrum

Abd Raouf Chouikha (1)

1 Université Sorbonne Paris Nord

We had proposed necessary and sucient conditions for isochrony of oscillatory motions. Thanks to the WKB perturbation method we derived expressions for the corrections to the equally spaced valid for analytic isochronous potentials [1]. In this paper, we bring some improvements of these results and we suggest another quantization of the quantum spectrum.

Mots clés: and phrases: oscillatory motions; isochronicity; WKB method; quantum spectrum 1 Isochronous oscillatory motions PACS numbers: 4505; 0230Hq

Domaines: Mathématiques [math]; Physique mathématique [math-ph]

Abd Raouf Chouikha. Isochronous oscillatory motions and the quantum spectrum. International Journal on Applied Physics and Engineering, 2022, 1, pp.95-101. ⟨10.37394/232030.2022.1.10⟩. ⟨hal-02532457⟩