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 |