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Results tagged with non-commutative-geometry
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Non-commutative geometry deals with spaces where the uncertainty principle of quantum mechanics thwarts even one's ability to simultaneously measure two position co-ordinates. It finds applications in models where geometry is emergent including the matrix model approach to string theory.
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Effects of non-locality in the star-product of two fields
This is a basic feature of the star product, easiest to see in bland QM in phase space. (Just take D=2 dimensions x and p, and $\theta_{ij} =\hbar \epsilon_{ij}$; beyond the stringer tart-up, the math …
- 66.4k
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Relationship between $\star$-products in phase-space QM and NC geometry
I cannot pretend to understand the question (I would answer what I understand as a clumsier version of @Qmechanic 's answer), but, as a courtesy of the casual reader, I'd rewrite the first equation in …
- 66.4k