the textbooks say that a fock space is the multiparticle extension of a hilbert space. OK, i guess that makes sense. but what is the mathematical difference between a fock space and a hilbert space? i mean, a hilbert space, by definition is a set of kets that have an inner product and form a vector space and is closed. so how is a fock space different from that?
H represents the space of states of one particle of mass m and spin s; in short, H is then called the "one-particle Hilbert space". The corresponding *Fock space F(H)* is then the state space of all many identical particle configurations of the one particle described by H. Heres some math: http://www.phys.port.ac.uk/research/quantum/cushing/node6.html
ahh... i think i see. there is a separate hilbert space for all the kets with the same excitation number, and the fock space is the direct product of all those hilbert spaces. huh. that wasn t so hard. thanks by the way, what do you mean, posting a link to a bohmian mechanics page? are you some kind of hippy? (-:
lethe are you some kind of hippy? "Whenever you find yourself on the side of the majority, it's time to pause and reflect." Mark Twain "I took the road less traveled by, and that has made all the difference." Robert Frost
Q, are you really an adherent to bohmian mechanics? i would not classify myself as one, but i find it a very interesting subject. i was just kidding with the hippy remark. an eloquent retort though.