Re: Wanted: Defn of Equal Time Commutaion Relation
- From: DRLunsford <antimatter33@xxxxxxxxx>
- Date: Tue, 26 Feb 2008 02:50:46 +0000 (UTC)
On Feb 25, 2:03 pm, Ilja Schmelzer <ilja.schmel...@xxxxxxxxxxxxxx>
wrote:
On 23 Feb., 14:00, lek...@xxxxxxxxxxxxxx wrote:
Sachs often refers to an "equal time commutation
relation." I remember studying commutation relations in Bransden &
Joachain's textbook when I took quantum mechanics, but I do not recall
any mention of 'equal time' commutation relations.
If any one could give me a quick definition of this form of
commutation relations, I would greatly appreciate it.
You choose some system of coordinates, with a time coordinate t. You
are in the Heisenberg picture, thus, your operators depend on t. Then,
the commutation relations between operators with the same t are the
equal time commutation relations. That's all.
It's a little more involved than that. One cannot maintain causality
unless the commutation relations for fields are imposed on a spacelike
initial hypersurface. The simplest such is t=const. in a given
referent.
-drl
.
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- Wanted: Defn of Equal Time Commutaion Relation
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- From: Ilja Schmelzer
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