|WikiProject Physics||(Rated Start-class, High-importance)|
I think that this should also include something about the classical limit in statistical mechanics e.g. regaining the classical distribution function of the ideal gas from the Fermi-Dirac distribution function in the dilute limit (i.e. classical limit). Hence, I don't think this should be merged with correspondence principle; or at least, should have a disambiguation page that distinguishes between classical limit (quantum mechanics) and classical limit (statistical mechanics).
This Wiki entry suggests that the limit hbar goes to zero recovers classical mechanics.
This is not actually true.
The Planck constant is a dimensional parameter. For any rescaling of the units the entire quantum mechanical theory is still present. To say that one theory goes over into the other theory is mathematically false. This fact was demonstrated by K.R.W. Jones in 1991 and was the subject of the Wiki post The Classical Schroedinger Equation which was subsequently deleted.
- You may well be misreading the clear statements provided. Deformation parameters are in dimensionless ratios, and that includes ħ/S, so the classical limit is approached in a quantifiable sense for large action systems. Please read up on introductory QM articles (e.g. Correspondence_principle#The_quantum_harmonic_oscillator ), and the phase space formulation which might exemplify the systematics of the process more explicitly. You cannot make mathematical statements on something as poorly defined as misconstrued straw-man "suggestions". This talk page, however, is not a newsgroup discussion forum. Please seek an appropriate venue. Cuzkatzimhut (talk) 11:19, 9 October 2013 (UTC)