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Brownian motion on a smash line

Quantum Physics 2015-06-26 v1 Mathematical Physics math.MP

Abstract

Brownian motion on a smash line algebra (a smash or braided version of the algebra resulting by tensoring the real line and the generalized paragrassmann line algebras), is constructed by means of its Hopf algebraic structure. Further, statistical moments, non stationary generalizations and its diffusion limit are also studied. The ensuing diffusion equation posseses triangular matrix realizations.

Keywords

Cite

@article{arxiv.quant-ph/0001048,
  title  = {Brownian motion on a smash line},
  author = {Demosthenes Ellinas and Ioannis Tsohantjis},
  journal= {arXiv preprint arXiv:quant-ph/0001048},
  year   = {2015}
}

Comments

Latex, 6 pages no figures. Submitted to Journal of Nonlinear Mathematical Physics. Special Issue of Proccedings of NEEDS'99