Re: 10 questions on QM postulates
- From: Arnold Neumaier <Arnold.Neumaier@xxxxxxxxxxxx>
- Date: Thu, 2 Jun 2005 05:27:21 +0000 (UTC)
Eugene Stefanovich wrote:
>
> Arnold Neumaier wrote:
>> Most physicists take it lightly since the times of Dirac.
>> They don't bother about self-adjointness or any other functional
>> analytic concept, unless ignoring it brings them into trouble.
>>
>> Almost everything they do in the nonrelativistic regime
>> can be made rigorous in the rigged Hilbert space, so they fare right
>> even when they imagine wrongly that they work in a Hilbert
>> space. Thus they get away with their bad practices.
>> What they call 'Hilbert space' _is_ in fact always a
>> rigged Hilbert space; they just don't know and don't care.
>
>
> Why should they care?
They don't care because usually they don't need to.
Occasionally, however, replacing logical demands
by formal, unjustified reasoning gives wrong results.
Physicists usually cope by just noticing that things go wrong
if done a particular way, and looking for another way,
without resolving the logical issues.
This makes for speedy progress but poor foundations.
Arnold Neumaier
.
- Prev by Date: Re: upper/lower *theoretical* limits for photon wavelength
- Next by Date: Re: Why physicists should pay attention to the mind
- Previous by thread: Re: upper/lower *theoretical* limits for photon wavelength
- Next by thread: Hilbert spaces and quantum mechanics
- Index(es):
Relevant Pages
|
