On quantum stochastic dynamics and noncommutativemathbb{L}_p spaces |
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| Authors: | Adam W. Majewski Boguslaw Zegarlinski |
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| Affiliation: | (1) Institute of Theoretical Physics and Astrophysics, Gdansk University, Gdansk, Poland;(2) Mathematics Department, Imperial College, London, U.K. |
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| Abstract: | We show that using the thermodynamic limit, one can give a simple and natural construction of noncommutative spaces for quantum systems on a lattice. Within this framework, we discuss the construction and ergodicity properties of stochastic dynamics of spin flip and diffusion type. |
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| Keywords: | Primary: 46L57 46L50 82C10 Secondary: 82C22 47N55 |
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