Abstract
The Coulomb potential characterising the interaction between an electron and a proton in a spherical cavity has been optimally decomposed into a sum-of-products form, where the products are functions in one degree of freedom. The problem is a six-dimensional one, formulated in the three spherical polar coordinates describing the proton and the three ones describing the electron. As a result, each term in the potential is a product of six functions, one for each coordinate. This reduction of the potential allows the treatment of the problem in a multi-configuration time-dependent Hartree study of the energy levels of the confined H atom.
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Skouteris, D., Laganà, A. (2011). Potential Decomposition in the Multiconfiguration Time-Dependent Hartree Study of the Confined H Atom. In: Murgante, B., Gervasi, O., Iglesias, A., Taniar, D., Apduhan, B.O. (eds) Computational Science and Its Applications - ICCSA 2011. ICCSA 2011. Lecture Notes in Computer Science, vol 6784. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21931-3_34
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DOI: https://doi.org/10.1007/978-3-642-21931-3_34
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