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Qualitative behavior of the ground state wave function of H/sub 2//sup +/

Thomas Hoffmann-Ostenhof, J. D. Morgan

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Abstract

We use differential inequality techniques to study the qualitative behavior of the ground state wave function of H/sub 2//sup +/. Our results include proofs that the ground state eigenfuction is cylindrically decreasing and that it has exactly two maxima at the nuclear positions and no local minimum.

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What this paper is about

We use differential inequality techniques to study the qualitative behavior of the ground state wave function of H/sub 2//sup +/. Our results include proofs that the ground state eigenfuction is cylindrically decreasing and that it has exactly two maxima at the nuclear positions and no local minimum.

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Available abstract

We use differential inequality techniques to study the qualitative behavior of the ground state wave function of H/sub 2//sup +/. Our results include proofs that the ground state eigenfuction is cylindrically decreasing and that it has exactly two maxima at the nuclear positions and no local minimum.

Key concepts: Ground state, Function (biology), State (computer science), Maxima, Qualitative analysis, Differential (mechanical device), Physics, Maxima and minima

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