Re: Wave Functions again

2018-04-06 Thread agrayson2000


On Friday, April 6, 2018 at 2:39:35 PM UTC, Lawrence Crowell wrote:
>
> On Thursday, April 5, 2018 at 12:25:02 AM UTC-5, agrays...@gmail.com 
> wrote:
>>
>>  Does a macro object, say a billiard ball, have a definite wave function? 
>> That is, does it have one in principle, even if it can't be written down? 
>> If one can speak of the wf of the universe, one would think individual 
>> macro objects would also have wf's. TIA, AG
>>
>
> A large object is made of particles that have quantum wave functions. 
> Largely these cancel each other in a grand interference. This enhances the 
> appearance of classical or macroscopic behavior. If you can prepare the 
> wave functions of all the atoms in a large system so they have the same 
> form this can lead to quantization on the large. This happens with 
> Bose-Einstein condensates and similar quantum phase states --- here phase 
> meaning a thermodynamics type of phase, but one determined by quantum 
> fluctuations.
>
> LC
>

When we have a macro object, say a ball consisting of same element 
throughout, and we want to construct its wf, what type or form of wf we 
must use? For example, for the H atom, we can treat the system quantum 
mechanically and find the energy levels, and/or consider the H atom as a 
free particle and find the wf giving the probability of its position, but 
what form of a wf would we use for a macro object that gets entangled with 
its environment? TIA, AG

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Re: Wave Functions again

2018-04-06 Thread Lawrence Crowell
On Thursday, April 5, 2018 at 12:25:02 AM UTC-5, agrays...@gmail.com wrote:
>
>  Does a macro object, say a billiard ball, have a definite wave function? 
> That is, does it have one in principle, even if it can't be written down? 
> If one can speak of the wf of the universe, one would think individual 
> macro objects would also have wf's. TIA, AG
>

A large object is made of particles that have quantum wave functions. 
Largely these cancel each other in a grand interference. This enhances the 
appearance of classical or macroscopic behavior. If you can prepare the 
wave functions of all the atoms in a large system so they have the same 
form this can lead to quantization on the large. This happens with 
Bose-Einstein condensates and similar quantum phase states --- here phase 
meaning a thermodynamics type of phase, but one determined by quantum 
fluctuations.

LC

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Re: Wave Functions again

2018-04-05 Thread Bruno Marchal

> On 5 Apr 2018, at 07:25, agrayson2...@gmail.com wrote:
> 
>  Does a macro object, say a billiard ball, have a definite wave function? 
> That is, does it have one in principle, even if it can't be written down? If 
> one can speak of the wf of the universe, one would think individual macro 
> objects would also have wf's. TIA, AG

Assuming QM without collapse, a subject of a possible universe has no wave by 
itself, but it can have a relative subwave relatively to the choice of a base 
to describe the universal wave. In our case, evolution has chosen the relative 
base, so that we can approximate isolated object by their position. But it is 
only an inside phenomenological view. Then with Mechanism, the wave itself is 
phenomenological, and there is plausibly no universal wave per se neither.

Bruno 





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