On Monday, January 14, 2019 at 5:52:39 PM UTC-6, [email protected] wrote: > > > > On Monday, January 14, 2019 at 11:41:15 PM UTC, Philip Thrift wrote: >> >> >> >> On Monday, January 14, 2019 at 4:58:52 PM UTC-6, [email protected] >> wrote: >>> >>> >>> >>> On Monday, January 14, 2019 at 10:27:19 AM UTC, Philip Thrift wrote: >>>> >>>> >>>> >>>> On Monday, January 14, 2019 at 2:53:53 AM UTC-6, [email protected] >>>> wrote: >>>>> >>>>> >>>>> >>>>> On Monday, January 14, 2019 at 6:12:43 AM UTC, Brent wrote: >>>>>> >>>>>> >>>>>> >>>>>> On 1/13/2019 9:51 PM, [email protected] wrote: >>>>>> >>>>>> This means, to me, that the arbitrary phase angles have absolutely no >>>>>> effect on the resultant interference pattern which is observed. But >>>>>> isn't >>>>>> this what the phase angles are supposed to effect? AG >>>>>> >>>>>> >>>>>> The screen pattern is determined by *relative phase angles for the >>>>>> different paths that reach the same point on the screen*. The >>>>>> relative angles only depend on different path lengths, so the overall >>>>>> phase >>>>>> angle is irrelevant. >>>>>> >>>>>> Brent >>>>>> >>>>> >>>>> The Stackexchange links affirm the existence of interference for >>>>> *relative* phase angles, but say nothing about different path >>>>> lengths, which is the way I've previously thought of interference. So I >>>>> remain confused on the subject of quantum interference and its relation >>>>> to >>>>> relative phase angles. AG >>>>> >>>> >>>> >>>> Each path going to screen has a UCN* (unit complex number). For screen >>>> locations that get their paths with UCNs that are in the same general >>>> direction (as a vector in the complex plane, angle or phase), the sum of >>>> those UCNs will be a complex number with a big length. For other screen >>>> locations, the path UCNs when summed will cancel each other out. Hence the >>>> light and dark lines on the screen. >>>> >>>> * UCN: unit complex numbers [ >>>> https://en.wikipedia.org/wiki/Circle_group ] >>>> >>>> "In mathematics, the circle group, denoted by T, is the multiplicative >>>> group of all complex numbers with absolute value 1, that is, the unit >>>> circle in the complex plane or simply the unit complex numbers." >>>> >>>> - pt >>>> >>> >>> Thanks, but I don't think you understand the issue I raised. I discussed >>> two ways to apply relative phases, which results in different >>> probabilities. AG >>> >> >> I don't how "relative" helps with anything, but a phase is what it is: >> >> A physical basis for the phase in Feynman path integration >> >> https://arxiv.org/abs/quant-ph/0411005 >> >> - pt >> > > The Stackexchange links illustrate global vs relative phases. AG >
I don't have any more to add, but relative phases are covered in an introduction to the PI. Path Integral Methods and Applications https://arxiv.org/abs/quant-ph/0004090 These lectures are intended as an introduction to the technique of path integrals and their applications in physics. - pt > >> > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
