Forster, Malcolm R. and Krioukov, Alexei
(2002)
How to See Through the Ideal Gas Law in Terms of the Concepts of Quantum Mechanics.
[Preprint]
Abstract
Textbooks in quantum mechanics frequently claim that quantum mechanics explains the success of classical mechanics because the mean values [of quantum mechanical observables] follow the classical equations of motion to a good approximation, while the dimensions of the wave packet be small with respect to the characteristic dimensions of the problem. The equations in question are Ehrenfest's famous equations. We examine this case for the onedimensional motion of a particle in a box, and extend the idea deriving a special case of the ideal gas law in terms of the mean value of a generalized force, which has been used in statistical mechanics to define pressure. The example may be an important test case for recent philosophical theories about the relationship between microtheories and macrotheories in science.
Item Type: 
Preprint

Creators: 
Creators  Email  ORCID 

Forster, Malcolm R.    Krioukov, Alexei   

Keywords: 
Quantum Mechanics, Thermodynamics, Reductionism/Holism, Physics, Macroscopic limit 
Depositing User: 
Program Committee

Date Deposited: 
23 Mar 2003 
Last Modified: 
13 Sep 2015 15:44 
Item ID: 
1066 
URI: 
http://philsciarchive.pitt.edu/id/eprint/1066 
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