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 

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