David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 154 (3):349-370 (2007)
In this paper we study in details a system of two weakly coupled harmonic oscillators from the point of view of Bohm’s interpretation of quantum mechanics. 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 where one oscillator is initially in its first excited state (a single photon) reaching the other oscillator in its ground state (the photodetector). The approximate solutions represent the state of both oscillators after the interaction, which is not an eigenstate of the individual hamiltonians for each oscillator, and therefore the energies for each oscillator 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 oscillators. We conclude that, even using the Bohmian view, the energy of each individual oscillator is not well defined, as the nonlocal quantum potential is not negligible even after the coupling is turned off.
|Keywords||Causal interpretation of quantum mechanics Bohm’s theory Realism|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
David Bohm (1952). A Suggested Interpretation of the Quantum Theory in Terms of ‘Hidden’ Variables, I and II. Physical Review (85):166-193.
Citations of this work BETA
No citations found.
Similar books and articles
Valia Allori, Detlef Duerr, Nino Zanghi & Sheldon Goldstein (2002). Seven Steps Toward the Classical World. Journal of Optics B 4:482–488.
Sheldon Goldstein, Bohmian Mechanics. Stanford Encyclopedia of Philosophy.
Martin Daumer, Detlef Dürr, Sheldon Goldstein & Nino Zanghì (1996). Naive Realism About Operators. Erkenntnis 45 (2-3):379 - 397.
Valia Allori & Nino Zanghi (2004). What is Bohmian Mechanics. International Journal of Theoretical Physics 43:1743-1755.
Roderich Tumulka, Detlef Durr, Sheldon Goldstein & Nino Zanghi, Bohmian Mechanics. Compendium of Quantum Physics.
Added to index2009-01-28
Total downloads6 ( #203,365 of 1,100,819 )
Recent downloads (6 months)3 ( #115,533 of 1,100,819 )
How can I increase my downloads?