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The derivation is not clear, for instance it never explains why there is an h in there, or what the imaginary unit is doing. Someone should put this on a more theoretical basis, I guess I could try. -2/06/09 —Preceding unsigned comment added by 76.174.157.167 ( talk) 09:15, 6 February 2009 (UTC)
I suggest to merge this article with Momentum space. 79.11.106.253 ( talk) 09:13, 19 August 2008 (UTC)
There is a mistake in this article: <-- this is wrong
The definition is actually otherwise this would happen:
<actually it is wrong that i = \sqrt{-1} , I do not know if the proof is wrong or not!
i = \sqrt{-1} is wrong. assuming this is true we have 1=1 => -1=-1 => -1/1=1/-1 => sqrt(-1)/sqrt(1)=sqrt(1)/sqrt(-1) => i/1=1/i => i^2=1 => -1=1 — Preceding unsigned comment added by Tst0 ( talk • contribs) 06:40, 8 December 2010 (UTC)
There needs to be a discussion of the domain of definition of the momentum operator. As it is, the definition of the momentum operator doesn't make sense. Isdatmaths ( talk) 12:48, 10 March 2012 (UTC)
I participated last year in an interesting conversation about some subtleties in how the momentum operator is defined: See Talk:Bra-ket_notation/Archive_1#Abuse_of_Notation.
In particular, the definition is correct in the position basis, although the way it's used involves sort of an abuse of notation. In fact, (with a different definition of (d/dx)) is arguably a more "correct" definition from the perspective of linear algebra. (Obviously no one disagrees about how the momentum operator acts on any particular state, I'm just talking about how best to write it down.)
There might be something here worth putting in the article, although I'm skeptical...it may be a lot of extra complication with little gain in understanding. -- Steve ( talk) 13:10, 16 August 2012 (UTC)
![]() | This ![]() It is of interest to the following WikiProjects: | ||||||||||
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The derivation is not clear, for instance it never explains why there is an h in there, or what the imaginary unit is doing. Someone should put this on a more theoretical basis, I guess I could try. -2/06/09 —Preceding unsigned comment added by 76.174.157.167 ( talk) 09:15, 6 February 2009 (UTC)
I suggest to merge this article with Momentum space. 79.11.106.253 ( talk) 09:13, 19 August 2008 (UTC)
There is a mistake in this article: <-- this is wrong
The definition is actually otherwise this would happen:
<actually it is wrong that i = \sqrt{-1} , I do not know if the proof is wrong or not!
i = \sqrt{-1} is wrong. assuming this is true we have 1=1 => -1=-1 => -1/1=1/-1 => sqrt(-1)/sqrt(1)=sqrt(1)/sqrt(-1) => i/1=1/i => i^2=1 => -1=1 — Preceding unsigned comment added by Tst0 ( talk • contribs) 06:40, 8 December 2010 (UTC)
There needs to be a discussion of the domain of definition of the momentum operator. As it is, the definition of the momentum operator doesn't make sense. Isdatmaths ( talk) 12:48, 10 March 2012 (UTC)
I participated last year in an interesting conversation about some subtleties in how the momentum operator is defined: See Talk:Bra-ket_notation/Archive_1#Abuse_of_Notation.
In particular, the definition is correct in the position basis, although the way it's used involves sort of an abuse of notation. In fact, (with a different definition of (d/dx)) is arguably a more "correct" definition from the perspective of linear algebra. (Obviously no one disagrees about how the momentum operator acts on any particular state, I'm just talking about how best to write it down.)
There might be something here worth putting in the article, although I'm skeptical...it may be a lot of extra complication with little gain in understanding. -- Steve ( talk) 13:10, 16 August 2012 (UTC)