Autonomous quantum to classical transitions and the generalized imaging theorem
- Univ. of Freiburg (Germany). Inst. of Physics
- California State Univ. (CalState), Fullerton, CA (United States). Dept. of Physics
The mechanism of the transition of a dynamical system from quantum to classical mechanics is of continuing interest. Practically it is of importance for the interpretation of multi-particle coincidence measurements performed at macroscopic distances from a microscopic reaction zone. We prove the generalized imaging theorem which shows that the spatial wave function of any multi-particle quantum system, propagating over distances and times large on an atomic scale but still microscopic, and subject to deterministic external fields and particle interactions, becomes proportional to the initial momentum wave function where the position and momentum coordinates define a classical trajectory. Now, the quantum to classical transition is considered to occur via decoherence caused by stochastic interaction with an environment. The imaging theorem arises from unitary Schrödinger propagation and so is valid without any environmental interaction. It implies that a simultaneous measurement of both position and momentum will define a unique classical trajectory, whereas a less complete measurement of say position alone can lead to quantum interference effects.
- Research Organization:
- Univ. of Freiburg (Germany). Inst. of Physics; California State Univ. (CalState), Fullerton, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI ID:
- 1393919
- Journal Information:
- New Journal of Physics, Vol. 18, Issue 3; ISSN 1367-2630
- Publisher:
- IOP PublishingCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Tunneling exit characteristics from classical backpropagation of an ionized electron wave packet
|
journal | January 2018 |
Similar Records
Probing the Boundary between Classical and Quantum Mechanics by Analyzing the Energy Dependence of Single-Electron Scattering Events at the Nanoscale
Semiclassical wave-packets emerging from interaction with an environment