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Digitale Medien

Smooth transformations of Kratzer's potential in N dimensions (1998)

Hall, Richard L. ; Saad, Nasser

College Park, Md. : American Institute of Physics (AIP)

The Journal of Chemical Physics 109 (1998), S. 2983-2986

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ISSN: 1089-7690

Quelle: AIP Digital Archive

Thema: Physik , Chemie und Pharmazie

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.476889

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