Adrian Ocneanu, Thesis Supervisor Mark Levi, Thesis Honors Advisor
Keywords:
Fock spaces quantum field theory math tensor products Hilbert spaces
Abstract:
Fock spaces were introduced by Vladimir Aleksandrovich Fock in 1932, in order to model the quantum states of a variable number of particles when the energy allows particle creation and annihilation. In this paper we present the particle and wave interpretations of Fock spaces. Fock spaces can be interpreted as spaces of waves, or as spaces of an indeterminate number of particles, which makes them useful in quantum field theory. We prove the equivalence of these two formulations, and furthermore show an equivalence between two formulations of the inner product on Fock spaces.
