Calculating the hydrogen molecule ion using the two particle Schr"odinger equation

2005/03/29 by D. Schmicker, Schmicker, D.
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0503216

4 pages, source code for the calculation available

arxiv created 2005/03/29 · openalex publication_date 2005/03/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the hydrogen molecule ion from the two particle Schr"odinger equation. Therefore a very simple two particle basis set is chosen. We suggest this ansatz to be used to solve the "two electron one phonon" three particle wave-function of a BCS superconductor. Possibly it can give hints for high temperature superconductors.

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