Quantization on abelian varieties

Mauro Spera

Quantization on abelian varieties

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	383-392
Number of pages	10
Journal	Rendiconti del Seminario Matematico
Volume	44
Publication status	Published - 1986

Keywords

geometric quantizazion, abelian varieties, von Neumann uniqueness theorem, Riemann-Roch theorem

Cite this

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title = "Quantization on abelian varieties",

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.",

keywords = "geometric quantizazion, abelian varieties, von Neumann uniqueness theorem, Riemann-Roch theorem, geometric quantizazion, abelian varieties, von Neumann uniqueness theorem, Riemann-Roch theorem",

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language = "English",

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journal = "Rendiconti del Seminario Matematico",

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T1 - Quantization on abelian varieties

AU - Spera, Mauro

PY - 1986

Y1 - 1986

N2 - 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.

AB - 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.

KW - geometric quantizazion, abelian varieties, von Neumann uniqueness theorem, Riemann-Roch theorem

UR - http://hdl.handle.net/10807/35986

M3 - Article

SN - 0373-1243

VL - 44

SP - 383

EP - 392

JO - Rendiconti del Seminario Matematico

JF - Rendiconti del Seminario Matematico

ER -

Quantization on abelian varieties

Abstract

Keywords

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