On Sat, Jan 12, 2019 at 8:01 AM <agrayson2...@gmail.com> wrote:

> On Friday, January 11, 2019 at 7:46:19 PM UTC, Brent wrote:
>>
>> On 1/11/2019 2:02 AM, agrays...@gmail.com wrote:
>>
>> If probability values are always positive and between 0 and 1, how does
>> one get destructive interference, or constructive interfering probability
>> values within the acceptable range? Brent once answered this question but I
>> have completely forgotten the answer. AG
>>
>>
>> The wave function is a complex valued field, so it's values are not in
>> [0,1).  Its complex value is usually called 'the probability *amplitude*'
>> to distinguish it from a probability value.
>>
>
> I was aware of the foregoing. I'll check out your reference. Now I want to
> see how the probability values are constrained to be in the appropriate
> range after Born's rule is applied. AG
>

It is known as "unitarity". Evolution in QM by the Schroedinger equation is
always unitary -- given by exp(-iH) -- so probabilities can never exceed
unity, because the mod-squared of the evolution operator can never exceed
unity..

Bruce

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