Abstract
The algebra of relativistic quantum mechanics is unstable. Its stabilization requires the non-commutativity of the space-time coordinates and a fundamental length. The Heisenberg algebra is replaced by the algebras of ISO(2) and ISO(1,1). A quantum stochastic calculus is developed for these algebras. Also discussed is the construction of stochastic processes when time is an operator not commuting with the coordinates.
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Mendes, R.V. (2002). Stochastic Calculus and Processes in Non-Commutative Space-Time. In: Dalang, R.C., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications III. Progress in Probability, vol 52. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8209-5_14
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DOI: https://doi.org/10.1007/978-3-0348-8209-5_14
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