Complex Moduli of Physical Quanta
نویسنده
چکیده
Classical mechanics can be formulated using a symplectic structure on classical phase space, while quantum mechanics requires a complex–differentiable structure on that same space. Complex–differentiable structures on a given real manifold are often not unique. This letter is devoted to analysing the dependence of the notion of a quantum on the complex–differentiable structure chosen on classical phase space.
منابع مشابه
Moduli of Quanta
The classical phase of the matrix model of 11–dimensional M–theory is complex, infinite–dimensional Hilbert space. As a complex manifold, the latter admits a continuum of nonequivalent, complex–differentiable structures that can be placed in 1–to–1 correspondence with families of coherent states in the Hilbert space of quantum states. The moduli space of nonbiholomorphic complex structures on c...
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