Classical-Quantum Limits

Foundations of Physics 46 (12):1551-1572 (2016)

We introduce a new approach to analyzing the interaction between classical and quantum systems that is based on a limiting procedure applied to multi-particle Schrödinger equations. The limit equations obtained by this procedure, which we refer to as the classical-quantum limit, govern the interaction between classical and quantum systems, and they possess many desirable properties that are inherited in the limit from the multi-particle quantum system. As an application, we use the classical-quantum limit equations to identify the source of the non-local signalling that is known to occur in the classical-quantum hybrid scheme of Hall and Reginatto. We also derive the first order correction to the classical-quantum limit equation to obtain a fully consistent first order approximation to the Schrödinger equation that should be accurate for modeling the interaction between particles of disparate mass in the regime where the particles with the larger masses are effectively classical.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/s10701-016-0028-5
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 40,796
External links

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

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Quantum Particles and Classical Particles.Nathan Rosen - 1986 - Foundations of Physics 16 (8):687-700.
Classical and Quantum Theories of Spin.Fabián H. Gaioli & Edgardo T. Garcia Alvarez - 1998 - Foundations of Physics 28 (10):1539-1550.
On the Classical Limit of Quantum Mechanics.Valia Allori & Nino Zanghi - 2008 - Foundations of Physics 10.1007/S10701-008-9259-4 39 (1):20-32.
On Classical and Quantum Relativistic Dynamics.F. Reuse - 1979 - Foundations of Physics 9 (11-12):865-882.
On the Classical Limit in Bohm?S Theory.Gary E. Bowman - 2005 - Foundations of Physics 35 (4):605-625.
Mechanics: Non-Classical, Non-Quantum.Elliott Tammaro - 2012 - Foundations of Physics 42 (2):284-290.


Added to PP index

Total views
12 ( #621,892 of 2,244,030 )

Recent downloads (6 months)
7 ( #252,886 of 2,244,030 )

How can I increase my downloads?


My notes

Sign in to use this feature