Bohr Sommerfeld quantisation and molecular potentials

DOI10.1007/s10910-011-9926-0zbMath1251.81101arXiv1112.4247OpenAlexW2052450976MaRDI QIDQ427443

Jayanta K. Bhattacharjee, Shayak Bhattacharjee, Deb Shankar Ray

Publication date: 13 June 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4247

zbMATH Keywords

perturbation theoryaction integralasymptotic analysisMorse potentialinterpolation formulaLennard Jones potential

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Molecular physics (81V55)

Cites Work

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• Semiclassical approach to Landau levels and Landau level degeneracy using canonical transformations in classical mechanics
• Extensions of the Bohr–Sommerfeld formula to double-well potentials