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.
Quantization on abelian varieties
SPERA, Mauro
1986-01-01
Abstract
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.
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