Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
The Journal of Chemical Physics
109 (1998), S. 2983-2986
ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
We study smooth transformations V(r)=g(−1/r)+f(1/r2) of Kratzer's potential −a/r+b/r2 in N≥2 spatial dimensions. Eigenvalue approximation formulas are obtained which provide lower or upper energy bounds for all the discrete energy eigenvalues Enl and all N≥2, corresponding, respectively, to the two cases that the transformation functions g and f are either both convex (g″≥0) and f″≥0) or both concave (g″≤0 and f″≤0). Detailed results are presented for V(r)=−a/r+b/rβ and V(r)=−(v/r)[1−ar/(1+r)]+b/r2. © 1998 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.476889
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