# Re: Coherent states of a superposition

```
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

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