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Автор Michele Battezzati
Автор Valerio Magnasco
Дата выпуска 2002-07-12
dc.description The quantum-mechanical energy splitting for a ground state hydrogen molecular ion has been computed as the complex-valued mean first-passage time across the potential barrier between two wells, by separating the Schrödinger equation using spheroidal coordinates and applying a subsequent transformation so as to obtain three one-dimensional Hermitian operator equations. One of these operators describes a particle oscillating between two wells separated by a potential barrier. The splitting is then calculated as the energy difference between the symmetry-adapted wavefunctions and a reference state whose probability density is concentrated on one side of the barrier. The eigenfunctions are calculated as the solutions of a Volterra integral equation, where the energy difference is the eigenvalue.
Формат application.pdf
Издатель Institute of Physics Publishing
Название Exchange energy splitting for ground state H<sub>2</sub><sup>+</sup> from fluctuation theory
Тип paper
DOI 10.1088/0305-4470/35/27/308
Print ISSN 0305-4470
Журнал Journal of Physics A: Mathematical and General
Том 35
Первая страница 5653
Последняя страница 5671
Выпуск 27

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