Hydrogen atom as a quantum-classical hybrid system

Zhan F. and Wu B. (2013). Hydrogen atom as a quantum-classical hybrid system. In: 6th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime - Matter - Quantum Mechanics - From the Planck Scale to Emergent Phenomena, DICE 2012, Castiglioncello, Tuscany, (2-9). September 17, 2012-September 21, 2012. doi:10.1088/1742-6596/442/1/012006


Author Zhan F.
Wu B.
Title of paper Hydrogen atom as a quantum-classical hybrid system
Conference name 6th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime - Matter - Quantum Mechanics - From the Planck Scale to Emergent Phenomena, DICE 2012
Conference location Castiglioncello, Tuscany
Conference dates September 17, 2012-September 21, 2012
Journal name Journal of Physics: Conference Series   Check publisher's open access policy
Place of Publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Publication Year 2013
Year available 2013
Sub-type Fully published paper
DOI 10.1088/1742-6596/442/1/012006
Open Access Status DOI
ISSN 1742-6588
1742-6596
Volume 442
Issue 1
Start page 2
End page 9
Total pages 8
Language eng
Abstract/Summary Hydrogen atom is studied as a quantum-classical hybrid system, where the proton is treated as a classical object while the electron is regarded as a quantum object. We use a well known mean-field approach to describe this hybrid hydrogen atom; the resulting dynamics for the electron and the proton is compared to their full quantum dynamics. The electron dynamics in the hybrid description is found to be only marginally different from its full quantum counterpart. The situation is very different for the proton: in the hybrid description, the proton behaves like a free particle; in the fully quantum description, the wave packet center of the proton orbits around the center of mass. Furthermore, we find that the failure to describe the proton dynamics properly can be regarded as a manifestation of the fact that there is no conservation of momentum in the mean-field hybrid approach. We expect that such a failure is a common feature for all existing approaches for quantum-classical hybrid systems of Born-Oppenheimer type.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Conference Paper
Collections: School of Mathematics and Physics
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