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| related topics |
| {cos, sin, state} |
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Realism in Energy Transition Processes: an example from Bohmian Quantum
Mechanics
J. Acacio de Barros, J. P. R. F. de Mendonca, N. Pinto-Neto
abstract: In this paper we study in details a system of two weakly coupled harmonic
oscillators. This system may be viewed as a simple model for the interaction
between a photon and a photodetector. We obtain exact solutions for the general
case. We then compute approximate solutions for the case of a single photon
(where one oscillator is initially in its first excited state) reaching a
photodetector in its ground state (the other oscillator). The approximate
solutions represent the state of both the photon and the photodetector after
the interaction, which is not an eigenstate of the individual hamiltonians for
each particle, and therefore the energies for each particle do not exist in the
Copenhagen interpretation of Quantum Mechanics. We use the approximate
solutions that we obtained to compute bohmian trajectories and to study the
energy transfer between the two particles. We conclude that even using the
bohmian view the energy of each individual particle is not well defined, as the
nonlocal quantum potential is not negligible even after the coupling is turned
off.
- oai_identifier:
- oai:arXiv.org:quant-ph/0307193
- categories:
- quant-ph
- comments:
- 18 pages, 5 figures
- arxiv_id:
- quant-ph/0307193
- journal_ref:
- Synthese, vol. 154, pp. 349--370, 2007
- created:
- 2003-07-27
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