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

The energy spectrum of a particle moving in a centrosymmetric field in the $N$-dimensional space is calculated by means of the ordinary Rayleigh-Schr\"odinger 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

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