Analytical solutions of the Schrodinger equation for the one-dimensional hydrogen molecular ion
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2021
- DOI:
- 10.48550/arXiv.2112.13135
- arXiv:
- arXiv:2112.13135
- Bibcode:
- 2021arXiv211213135T
- Keywords:
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- Quantum Physics;
- Physics - Atomic Physics;
- Physics - Chemical Physics
- E-Print:
- 8 pages, 9 figures