On the quantum foundations of some classical approximations for ion-atom collisions
A connection between quantum mechanics and classical methods used in ion-atom collisions is developed. The connection is based on the fluid dynamical interpretation of the one-electron quantum wavefunction. The classical trajectory Monte Carlo method and the Thomson approximation are obtained as qua...
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| Autores principales: | , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_09534075_v21_n10_p1829_Reinhold |
| Aporte de: |
| Sumario: | A connection between quantum mechanics and classical methods used in ion-atom collisions is developed. The connection is based on the fluid dynamical interpretation of the one-electron quantum wavefunction. The classical trajectory Monte Carlo method and the Thomson approximation are obtained as quantum models and the wavefunctions associated with these approximations are defined. A discussion is given of the procedure to be used to calculate scattering cross sections. Scaling laws derivable from the classical Liouville equation are deduced in the impact parameter formalism. |
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