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arXiv · hep-th/0304235

Quantum Mechanics in Infinite Symplectic Volume

J. M. Isidro
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Abstract

We quantise complex, infinite-dimensional projective space CP(H). We apply the result to quantise a complex, finite-dimensional, classical phase space C whose symplectic volume is infinite, by holomorphically embedding it into CP(H). The embedding is univocally determined by requiring it to be an isometry between the Bergman metric on C and the Fubini-Study metric on CP(H). Then the Hilbert-space bundle over C is the pullback, by the embedding, of the Hilbert-space bundle over CP(H).

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J. M. Isidro. 2003-09-15. Quantum Mechanics in Infinite Symplectic Volume. https://doi.org/10.1142/s0217732304013118

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