- #1
LarryS
Gold Member
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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 Ha and system B might be described by Hilbert Space Hb.
Mathematically, Hilbert Spaces are many things, but the first thing they are, at the most fundamental level, is a set (of continuous, complex-valued, square-integrable functions, etc.).
My Question: In QM what defines the scope of the Hilbert Space for a specific system? (What elements are in its Hilbert Space set?).
As always, thanks in advance.
Mathematically, Hilbert Spaces are many things, but the first thing they are, at the most fundamental level, is a set (of continuous, complex-valued, square-integrable functions, etc.).
My Question: In QM what defines the scope of the Hilbert Space for a specific system? (What elements are in its Hilbert Space set?).
As always, thanks in advance.