![]() | This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||||||||||||
|
The chapman-kolmogorov equation is important enough to be by itself.
Rewritten a little, to indicate that master equations in physics are only a subset of Chapman-Kolmogorov equations. The focus of interest in the objects is also rather different.
IMO, the two articles should not be merged. -- Jheald 21:34, 10 November 2005 (UTC)
Why is it called "MASTER"-equation? -- Ehsel —Preceding unsigned comment added by Ehsel ( talk • contribs) 15:08, 21 February 2008 (UTC)
The literature often refers to Non Markovian Master Equations (see e.g. arXiv:quant-ph/0312103), while the definition in this article is clearly Markovian. Might there be a more general definition of a Master Equation, or does the descriptor "non Markovian" make it a different term, as in the Quantum Liouville Equation Cederal 13:51, 17 April 2007 (UTC)
Is the FP equation really a generalisation of the Master equation? Obviously it deals with continuous things but there are systems where the FP equation is inaccurate while the ME covers everything, though they are obviously discrete in nature (chemical networks for instance). Perhaps the comment could be clarified so make it clear what the generalisation is in regards to, as someone might think that the FP equation is ALWAYS superior to the ME, which isn't the case. If someone wants examples I can give paper references illustrating this. AlphaNumeric ( talk) 12:07, 5 March 2012 (UTC)
I tried to make the explanation tighter and clearer, while still addressing the "naive" concern about the order of the indices in a user-friendly way. 84.227.227.112 ( talk) 07:52, 14 April 2014 (UTC)
The section titled "Examples of master equations" unfortunately lacks any! It does point us to classical physics, saying it has "many" examples. And it does discuss two generalisations at length, with the first - the Lindblad equation - also discussed more extensively than it is in the (more appropriate) section on "Quantum master equations".
Please consider:
(Should "reduce redundant repetition" be a WP style guideline "RRR"? ;-) ) yoyo ( talk) 04:22, 15 November 2015 (UTC)
I changed it because a system modelled by the master equation is not in exactly one state at a given time, but a probabilistic combination of them. The former is just a special case of the latter when all the probability mass is on one point and the master equation does not preserve that property. -- Ricardohz ( talk) 21:29, 2 November 2016 (UTC)
![]() | This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||||||||||||
|
The chapman-kolmogorov equation is important enough to be by itself.
Rewritten a little, to indicate that master equations in physics are only a subset of Chapman-Kolmogorov equations. The focus of interest in the objects is also rather different.
IMO, the two articles should not be merged. -- Jheald 21:34, 10 November 2005 (UTC)
Why is it called "MASTER"-equation? -- Ehsel —Preceding unsigned comment added by Ehsel ( talk • contribs) 15:08, 21 February 2008 (UTC)
The literature often refers to Non Markovian Master Equations (see e.g. arXiv:quant-ph/0312103), while the definition in this article is clearly Markovian. Might there be a more general definition of a Master Equation, or does the descriptor "non Markovian" make it a different term, as in the Quantum Liouville Equation Cederal 13:51, 17 April 2007 (UTC)
Is the FP equation really a generalisation of the Master equation? Obviously it deals with continuous things but there are systems where the FP equation is inaccurate while the ME covers everything, though they are obviously discrete in nature (chemical networks for instance). Perhaps the comment could be clarified so make it clear what the generalisation is in regards to, as someone might think that the FP equation is ALWAYS superior to the ME, which isn't the case. If someone wants examples I can give paper references illustrating this. AlphaNumeric ( talk) 12:07, 5 March 2012 (UTC)
I tried to make the explanation tighter and clearer, while still addressing the "naive" concern about the order of the indices in a user-friendly way. 84.227.227.112 ( talk) 07:52, 14 April 2014 (UTC)
The section titled "Examples of master equations" unfortunately lacks any! It does point us to classical physics, saying it has "many" examples. And it does discuss two generalisations at length, with the first - the Lindblad equation - also discussed more extensively than it is in the (more appropriate) section on "Quantum master equations".
Please consider:
(Should "reduce redundant repetition" be a WP style guideline "RRR"? ;-) ) yoyo ( talk) 04:22, 15 November 2015 (UTC)
I changed it because a system modelled by the master equation is not in exactly one state at a given time, but a probabilistic combination of them. The former is just a special case of the latter when all the probability mass is on one point and the master equation does not preserve that property. -- Ricardohz ( talk) 21:29, 2 November 2016 (UTC)