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A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach

Sébastien Breteaux (2014)

Annales de l’institut Fourier

In this article the linear Boltzmann equation is derived for a particle interacting with a Gaussian random field, in the weak coupling limit, with renewal in time of the random field. The initial data can be chosen arbitrarily. The proof is geometric and involves coherent states and semi-classical calculus.

A note on coalgebra gauge theory

Tomasz Brzeziński (1997)

Banach Center Publications

A generalisation of quantum principal bundles in which a quantum structure group is replaced by a coalgebra is proposed.

A U q s l 2 -representation with no quantum symmetric algebra

Olivia Rossi-Doria (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We show by explicit calculations in the particular case of the 4-dimensional irreducible representation of U q s l 2 that it is not always possible to generalize to the quantum case the notion of symmetric algebra of a Lie algebra representation.

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