# Re: Coherent states of a superposition

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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, agrays...@gmail.com
> 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, agrays...@gmail.com
>>> wrote:
>>>>
>>>>
>>>>
>>>> On Monday, January 14, 2019 at 6:12:43 AM UTC, Brent wrote:
>>>>>
>>>>>
>>>>>
>>>>> On 1/13/2019 9:51 PM, agrays...@gmail.com 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

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