- #1
snoopies622
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I think this is right, but could someone confirm (or deny) this for me?
While a particle like an electron - or a finite set of particles for that matter - is represented by a single normed vector in Hilbert space which is acted on by operators such as ones for energy, position and momentum, an electromagnetic field is represented by an uncountably infinite number of such vectors, one at every point in space and time, each of which are acted on by operators such as energy, electric field strength (and direction) and magnetic field strength (and direction).
While a particle like an electron - or a finite set of particles for that matter - is represented by a single normed vector in Hilbert space which is acted on by operators such as ones for energy, position and momentum, an electromagnetic field is represented by an uncountably infinite number of such vectors, one at every point in space and time, each of which are acted on by operators such as energy, electric field strength (and direction) and magnetic field strength (and direction).