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Probability and quanta: why back to Nelson?

Piotr Garbaczewski (1998)

Banach Center Publications

We establish circumstances under which the dispersion of passive contaminants in a forced flow can be consistently interpreted as a Markovian diffusion process.

Quantum moment equations for a two-band k p Hamiltonian

Luigi Barletti (2005)

Bollettino dell'Unione Matematica Italiana

The hydrodynamic moment equations for a quantum system described by a two-band k p Hamiltonian are derived. In the case of pure states, it is proved that the order-0 and order-1 moment equations yield a closed system which is the two band analogue of Madelung's fluid equations.

Relative conditional expectations on a logic

Oľga Nánásiová, Sylvia Pulmannová (1985)

Aplikace matematiky

In this paper, the authors introduce the notion of conditional expectation of an observable x on a logic with respect to a sublogic, in a state m , relative to an element a of the logic. This conditional expectation is an analogue of the expectation of an integrable function on a probability space.

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