Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
33 (1992), S. 1710-1716
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A global geometrical approximation theory for the spectra of Schrödinger operators H =− D2 + vf(x) is discussed. The potential f(x) is composed either of sums, or of continuous mixtures, of soluble potentials. In both cases it is proved that the kinetic-potential formalism [J. Math. Phys. 24, 324 (1983); 25, 2078 (1984)] automatically yields optimal energy lower bounds. The examples f(x)=||x||+x2 and f(x)=−∫basech2(tx)dt are treated in detail.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.529649
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