Re: Quantum states from classical states?
- From: Arnold Neumaier <Arnold.Neumaier@xxxxxxxxxxxx>
- Date: Sat, 15 Oct 2005 12:04:07 +0000 (UTC)
markwh04@xxxxxxxxx wrote:
> himog wrote:
>
>>Is there a legitimate way to define a quantum state as some kind of
>>superposition of classical states?
>
> The quantum equivalent of a classical state is a coherent state; the
> process of arriving at a quantum theory which has the given classical
> state space as its classical limit is known more generally as Berezin
> quantization.
And every quantum state can be written as a superposition of coherent
states, though not in a unique way. Thus the view of quantums states as
superposition of classical (i.e., coherent) states is fully valid.
Of course, under a sufficiemtly nontrivial quantum dynamics,
a coherent state does not remain coherent as time develops;
this explains the departure from classicality in quantum mechanics.
In particular, typical nonlocal entanglement phenomena can be
viewed neatly in terms of superpositions of coherent states
which are spatially well separated.
Arnold Neumaier
.
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