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Upper and lower bounds to the Schrödinger equation eigenvalues

✍ Scribed by Francisco M. Fernández

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
230 KB
Volume
37
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A method is presented for obtaining rapidly convergent upper and lower bounds to the eigenvalues of the Schrödinger equation for one‐dimensional and central‐field models. The logarithmic derivative of the wave function is written as a Padé approximant and the bounds are obtained by simply counting the real zeroes of the denominator.

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