In QM a system is represented by a Hilbert Space rather than a classical Phase Space. So, system A might be described by Hilbert Space H(adsbygoogle = window.adsbygoogle || []).push({}); _{a}and system B might be described by Hilbert Space H_{b}.

Mathematically, Hilbert Spaces are many things, but the first thing they are, at the most fundamental level, is a(of continuous, complex-valued, square-integrable functions, etc.).set

My Question: In QM what defines theof the Hilbert Space for a specific system? (Whatscopeare in its Hilbert Spaceelements?).set

As always, thanks in advance.

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# Scope of Hilbert Space of a System?

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