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math.QA2011★ 8 cited
Quantum gauge symmetries in Noncommutative Geometry
Jyotishman Bhowmick, Francesco D'Andrea, Biswarup Das +1
We discuss generalizations of the notion of i) the group of unitary elements of a (real or complex) finite dimensional C*-algebra, ii) gauge transformations and iii) (real) automor…
math.OA2011★ 4 cited
Quantum Brownian Motion on noncommutative manifolds: construction, deformation and exit times
Biswarup Das, Debashish Goswami
We begin with a review and analytical construction of quantum Gaussian process (and quantum Brownian motions) in the sense of [25],[10] and others, and then formulate and study in…