tag:blogger.com,1999:blog-8883034.post538872048408317058..comments2024-03-23T23:26:40.813+01:00Comments on atdotde: Coherent statesRoberthttp://www.blogger.com/profile/06634377111195468947noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-8883034.post-86079624074856066532012-11-06T19:49:34.690+01:002012-11-06T19:49:34.690+01:00Actually i found a chinesse paper...that says &quo...Actually i found a chinesse paper...that says "does the creation operator possess eigenvenctors?...i've read it...and...the a^+ have non zero eigenvectors...i followed the calculations...and...i think they are well done... days ago i found a paper about BEC and the eigenvectors of creation operator were included in the discussion...the idea was..if you have a limit (upper) in your system...you cant creat more states...so (a^+)|z >=0...the same idea to consider the coherent states for the "destruction" operator...Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8883034.post-35782629083718948292007-03-27T23:24:00.000+02:002007-03-27T23:24:00.000+02:00Basically |R> = exp(R a+)|0>, so a+|R> = exp(R a+)...Basically |R> = exp(R a+)|0>, so a+|R> = exp(R a+)|1>=d/dR |R>.<BR/><BR/>However, I don't know what that would be good for.Roberthttps://www.blogger.com/profile/06634377111195468947noreply@blogger.comtag:blogger.com,1999:blog-8883034.post-83061250198555856672007-03-27T20:20:00.000+02:002007-03-27T20:20:00.000+02:00quick question though. in a coherent state what is...quick question though. <BR/>in a coherent state what is the the creation and the annihilation operator acting on a ket (|R>) <BR/>I know a |R> = R |r><BR/>but what about a dagger. if you know of course....thanksinfinit realityhttps://www.blogger.com/profile/05486114745259417659noreply@blogger.comtag:blogger.com,1999:blog-8883034.post-4600018464579264862007-02-22T21:52:00.000+01:002007-02-22T21:52:00.000+01:00I had never cared about this as the argument to de...I had never cared about this as the argument to derive the condition of minimal uncertainty should not change if p is replaced by -p and thus creation and annihilation operators are swapped. The Fock vacuum however breaks this symmetry and of course, Peter is right: The creation operator cannot have eigenstates: If n is the lowest |n> with non-zero coefficient of a hypothetical eigenstate this is mapped to n+1 by the creation operator.Roberthttps://www.blogger.com/profile/06634377111195468947noreply@blogger.comtag:blogger.com,1999:blog-8883034.post-90403543214618184262007-02-22T21:40:00.000+01:002007-02-22T21:40:00.000+01:00Hey Robert, so I am googling for "peron frobenius"...Hey Robert, <BR/>so I am googling for "peron frobenius" and "tensors" and I end up here... <BR/>By the way... the creation operator has no eigenstates. I think you meant destruction operator.<BR/>Greetings<BR/>PeterAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-8883034.post-30707166256922342372006-12-06T10:12:00.000+01:002006-12-06T10:12:00.000+01:00Strange. It looks the same as yours when I open th...Strange. It looks the same as yours when I open the post itself, but on the main page it's all garbled...Dimitri Terrynhttps://www.blogger.com/profile/17281732947067773324noreply@blogger.comtag:blogger.com,1999:blog-8883034.post-15075412807275540222006-12-04T14:08:00.000+01:002006-12-04T14:08:00.000+01:00This is what it lokks like on my screen. Not idea...<a href=http://mathphys.iu-bremen.de/~robert/atdotdedump.png>This </a> is what it lokks like on my screen. Not ideal but readable I would say.Roberthttps://www.blogger.com/profile/06634377111195468947noreply@blogger.comtag:blogger.com,1999:blog-8883034.post-66162919369151294632006-12-04T06:49:00.000+01:002006-12-04T06:49:00.000+01:00Nice post, but I have trouble making out the equat...Nice post, but I have trouble making out the equations. They're all over the text! Is it just me or is it a blogger problem? I'm using safari on a mac, so that migth be the problem.Dimitri Terrynhttps://www.blogger.com/profile/17281732947067773324noreply@blogger.com