Note on an upper bound property of second derivatives of the energy

Deb, B. M. (1972) Note on an upper bound property of second derivatives of the energy Chemical Physics Letters, 17 (1). pp. 78-79. ISSN 0009-2614

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/000926...

Related URL: http://dx.doi.org/10.1016/0009-2614(72)80329-4

Abstract

An easy alternative proof is provided for the upper bound relation (∂ 2E/∂ λ 2)åΨ|Ψ« ≤ åΨ |∂ 2H/∂ λ 2|Ψ«. Like an earlier proof by Silverman and van Leuen the present approach presupposes the validity of the Hellmann-Feynman (H---F) theorem.

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