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I think there is a "=" sign missing in the second equation in section Ansatz!
This seems written from a Mathematical Physics standpoint, instead of from a Quantum Mechanics angle. Any suggestions for converging this article (for example, application to a sample problem)?
Nimur 19:27, 3 May 2006 (UTC)
There is a very similar article about the theory behind this technique. Either we should merge them or we should integrate them into a more coherent framework. Nimur 10:01, 4 May 2006 (UTC)
I found this article very useful as a sepperate entity. Articles are easy to get lost in when they are this technical and they try and disscuss to much at once. Would be best to just surgest in this article that it may be usefull to refer to the other. 137.222.31.145 13:14, 30 May 2006 (UTC)
It may be that you've mistakenly referred to the wrong article, Nimur, but this doesn't seem to be at all related to 'variational pertubation theory' as described on that page. Stevvers 03:33, 5 November 2006 (UTC)
I agree with Steevers that this article is not very related to the article suggested by Nimur about 'variational perturbation theory. This article should be expanded, but not merged with the suggested article.
Just google searching for the variational method brings up a link (2nd after wikipedia) that is far more useful in application and with respect to quantum mechanics and the application of the variational method. As I am new to this, I will just post the link to the page here
http://vergil.chemistry.gatech.edu/notes/quantrev/node28.html From the knowledge I have gained in my quantum classes, this is a very comprehensive guide and touches upon strengths and weaknesses of actually applying the method to a QM system. Also, the website uses a more physical chemistry approach, which I find more valuable than the one currently posted.
Vints1 (
talk) 22:15, 15 December 2008 (UTC)
The result of the proposal was moved. -- RegentsPark ( sticks and stones) 02:05, 10 October 2009 (UTC)
Variational method (quantum mechanics) → Variational method — The page "Variational method" is just a redirect to here, so, in the spirit of keeping article titles as simple as possible, I propose dropping the "(quantum mechanics)" from the title of this article. Djr32 ( talk) 18:55, 3 October 2009 (UTC)
*'''Support'''
or *'''Oppose'''
, then sign your comment with ~~~~
. Since
polling is not a substitute for discussion, please explain your reasons, taking into account
Wikipedia's naming conventions.The result of the move request was: moved. Clear consensus that this article requires disambiguation, but I can't say there's a consensus on whether the dab page should be moved to Variational method or whether it should be a redirect to Calculus of variations. My original plan was to default to wherever Variational method had originally pointed, but unfortunately there was no original to default to. As such, I'm going to move the dab page to the 'primary' location because it strikes me that when there's no consensus on if there's a primary topic we are better off to disambiguate. There should of course be no prejudice against starting a new RM to debate whether Variational method should redirect to Calculus of variations or be a dab page. Jenks24 ( talk) 11:57, 4 April 2013 (UTC)
Variational method →
Variational method (quantum mechanics) – I think that the move in 2009 was, unfortunately, a clear mistake. The problem is that
Variational methods certainly means the general methods of
Calculus of variations. This article is just one example of these methods (perhaps not even the sole example even within quantum mechanics). So
Variational method should redirect to
Calculus of variations and we need to rename this article.
Variational method (quantum mechanics) might not be the very best name, but for simplicity it is easiest to move it back there.
Dingo1729 (
talk) 16:23, 23 March 2013 (UTC)
It seems the sum over $\lambda_1,\lambda_2$ in the statement of the orthonormality of the set of states $|\phi_{\lambda}\rangle$ is misplaced. Remove? Change to simply $\langle \phi_{\lambda_1}|\phi_{\lambda_2}\rangle = \delta_{\lambda_1,\lambda_2}$. — Preceding unsigned comment added by 176.22.14.195 ( talk) 18:14, 20 May 2015 (UTC)
In the expression for $\langle H \rangle$ there seems to be a sign error (in fact, the expression is maximum at $Z_{eff} = 27/16$ rather than minimum). — Preceding unsigned comment added by 176.22.14.195 ( talk) 18:27, 20 May 2015 (UTC)
This
level-5 vital article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
I think there is a "=" sign missing in the second equation in section Ansatz!
This seems written from a Mathematical Physics standpoint, instead of from a Quantum Mechanics angle. Any suggestions for converging this article (for example, application to a sample problem)?
Nimur 19:27, 3 May 2006 (UTC)
There is a very similar article about the theory behind this technique. Either we should merge them or we should integrate them into a more coherent framework. Nimur 10:01, 4 May 2006 (UTC)
I found this article very useful as a sepperate entity. Articles are easy to get lost in when they are this technical and they try and disscuss to much at once. Would be best to just surgest in this article that it may be usefull to refer to the other. 137.222.31.145 13:14, 30 May 2006 (UTC)
It may be that you've mistakenly referred to the wrong article, Nimur, but this doesn't seem to be at all related to 'variational pertubation theory' as described on that page. Stevvers 03:33, 5 November 2006 (UTC)
I agree with Steevers that this article is not very related to the article suggested by Nimur about 'variational perturbation theory. This article should be expanded, but not merged with the suggested article.
Just google searching for the variational method brings up a link (2nd after wikipedia) that is far more useful in application and with respect to quantum mechanics and the application of the variational method. As I am new to this, I will just post the link to the page here
http://vergil.chemistry.gatech.edu/notes/quantrev/node28.html From the knowledge I have gained in my quantum classes, this is a very comprehensive guide and touches upon strengths and weaknesses of actually applying the method to a QM system. Also, the website uses a more physical chemistry approach, which I find more valuable than the one currently posted.
Vints1 (
talk) 22:15, 15 December 2008 (UTC)
The result of the proposal was moved. -- RegentsPark ( sticks and stones) 02:05, 10 October 2009 (UTC)
Variational method (quantum mechanics) → Variational method — The page "Variational method" is just a redirect to here, so, in the spirit of keeping article titles as simple as possible, I propose dropping the "(quantum mechanics)" from the title of this article. Djr32 ( talk) 18:55, 3 October 2009 (UTC)
*'''Support'''
or *'''Oppose'''
, then sign your comment with ~~~~
. Since
polling is not a substitute for discussion, please explain your reasons, taking into account
Wikipedia's naming conventions.The result of the move request was: moved. Clear consensus that this article requires disambiguation, but I can't say there's a consensus on whether the dab page should be moved to Variational method or whether it should be a redirect to Calculus of variations. My original plan was to default to wherever Variational method had originally pointed, but unfortunately there was no original to default to. As such, I'm going to move the dab page to the 'primary' location because it strikes me that when there's no consensus on if there's a primary topic we are better off to disambiguate. There should of course be no prejudice against starting a new RM to debate whether Variational method should redirect to Calculus of variations or be a dab page. Jenks24 ( talk) 11:57, 4 April 2013 (UTC)
Variational method →
Variational method (quantum mechanics) – I think that the move in 2009 was, unfortunately, a clear mistake. The problem is that
Variational methods certainly means the general methods of
Calculus of variations. This article is just one example of these methods (perhaps not even the sole example even within quantum mechanics). So
Variational method should redirect to
Calculus of variations and we need to rename this article.
Variational method (quantum mechanics) might not be the very best name, but for simplicity it is easiest to move it back there.
Dingo1729 (
talk) 16:23, 23 March 2013 (UTC)
It seems the sum over $\lambda_1,\lambda_2$ in the statement of the orthonormality of the set of states $|\phi_{\lambda}\rangle$ is misplaced. Remove? Change to simply $\langle \phi_{\lambda_1}|\phi_{\lambda_2}\rangle = \delta_{\lambda_1,\lambda_2}$. — Preceding unsigned comment added by 176.22.14.195 ( talk) 18:14, 20 May 2015 (UTC)
In the expression for $\langle H \rangle$ there seems to be a sign error (in fact, the expression is maximum at $Z_{eff} = 27/16$ rather than minimum). — Preceding unsigned comment added by 176.22.14.195 ( talk) 18:27, 20 May 2015 (UTC)