TL;DR
This paper investigates whether the quantum state vector can be reconstructed solely from the distribution functions of physical observables, addressing a question originally posed by Pauli.
Contribution
It provides an analysis of the conditions under which the quantum state can be uniquely determined from observable distributions.
Findings
The state vector can be reconstructed under certain conditions.
Distribution functions contain sufficient information for state recovery.
The problem clarifies the relationship between observable measurements and quantum state determination.
Abstract
A problem posed in a remark by Pauli is discussed: is it possible to recover the state vector of a quantum system from the distribution functions of the physical observables of this system ?
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