Analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion

• URL: http://arxiv.org/abs/2112.13135v1
• Date: Fri, 24 Dec 2021 20:03:17 GMT
• Title: Analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion
• Authors: Stavros Theodorakis
• Abstract summary: We present analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion. In particular, we present closed form expressions for the electronic energy curves of this system that correspond to the ground state and the first excited state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion. In particular, we present closed form expressions for the electronic energy curves of this system that correspond to the ground state and the first excited state. Our results agree with numerical solutions obtained before.

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