To a n-dimensional principally polarized abelian variety (M, [\Omega]) of period matrix (I, il) is naturally associated a family of irreducible representations of the Weyl Communication Relations. The Riemann theta function appears as the ground state space of a quantum harmonic oscillator hamiltonian. A geometric explanation for the zero point energy is provided.
|Number of pages||10|
|Journal||Rendiconti del Seminario Matematico|
|Publication status||Published - 1986|
- geometric quantizazion, abelian varieties, von Neumann uniqueness theorem, Riemann-Roch theorem