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arXiv · 1110.0592

Noncommutative geometry of phase space

Maja Buric·John Madore
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Abstract

A version of noncommutative geometry is proposed which is based on phase-space rather than position space. The momenta encode the information contained in the algebra of forms by a map which is the noncommutative extension of the duality between the tangent bundle and the cotangent bundle.

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Maja Buric, John Madore. 2011-10-05. Noncommutative geometry of phase space. https://doi.org/10.1007/s10714-011-1231-5

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