Titlebook: Symmetries in Science X; Bruno Gruber,Michael Ramek Book 1998 Springer Science+Business Media New York 1998 algebra.deformation.lie group.

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The ,-Fermions as Objects Interpolating Between Fermions and Bosons,erest in statistical physics. More precisely, deformed oscillator algebras have proved to be useful in .(connected to irreducible representations, of dimensions greater than 1, of the symmetric group), in .(connected to the braid group) that concerns only particles in (one or) two dimensions, and in

maverick

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Possible Origins of Quantum Fluctuations,-mechanical one in an additional time other than the ordinary time, within the frameworks of stochastic and microcanonical quantizations. We might expect that such hypothetical processes would give possible origins of quantum fluctuations.

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VEST

From Equations of Motion to Canonical Commutation Relations: Classical and Quantum Systems,, neither at the classical level, nor at the quantum level. By using some of the alternative commutation relations as deformed ones, we consider the description of deformed systems, classical and quantum. In particular, by using deformed oscillators we deal with photon statistics in nonlinear cohere

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Variational Analysis of an Exactly Soluble Relativistic Oscillator,ulomb variational functions, etc. Recently the authors and their collaborators have developed methods for these problems more related to approaches used in non-relativistic nuclear physics. Instead of the 4×4 matrices .and .they replaced them by direct products of 2×2 ones associated with ordinary a