DOI: https://doi.org/10.30970/jps.06.46
THE 1/N-EXPANSION IN QUANTUM MECHANICS. HIGH-ORDER APPROXIMATIONS
I. O. Vakarchuk
Ivan Franko National University of Lviv, Department for Theoretical Physics
12 Drahomanov Str., Lviv, 79005, Ukraine
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Journal of Physical Studies 6(1), 46–54 (2002)
DOI: https://doi.org/10.30970/jps.06.46 THE 1/N-EXPANSION IN QUANTUM MECHANICS. HIGH-ORDER APPROXIMATIONSI. O. Vakarchuk
Ivan Franko National University of Lviv, Department for Theoretical Physics |
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The energy spectrum of a particle moving in a centrosymmetric field in the $N$-dimensional space is calculated by means of the ordinary Rayleigh-Schrödinger perturbation theory up to $(\hbar/N)^3$. The energy levels for power-law potentials are found as an example.
PACS number(s): 03.65.-w, 03.65.Ge, 03.65.Sq