Displaying similar documents to “Quantum Bochner theorems and incompatible observables”

Quantum limit theorems

Katarzyna Lubnauer (2004)

Studia Mathematica

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A noncommutative analogue of limit theorems in classical probability theory for distributions of canonical pairs of observables is considered. A complete description of all limit probability operators which are quantum counterparts of the classical infinitely divisible and semistable laws is obtained in the case when scalar norming is generalised to norming by 2 × 2 matrices.

A mathematical introduction to the Wigner formulation of quantum mechanics

Luigi Barletti (2003)

Bollettino dell'Unione Matematica Italiana

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The paper is devoted to review, from a mathematical point of view, some fundamental aspects of the Wigner formulation of quantum mechanics. Starting from the axioms of quantum mechanics and of quantum statistics, we justify the introduction of the Wigner transform and eventually deduce the Wigner equation.