On Tuesday, January 15, 2019 at 12:10:23 AM UTC, Philip Thrift wrote: > > > > 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 >
The inconsistency, if it exists, occurs in Wave Mechanics, not PI formulation. AG > >>> >> -- 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.
