A mathematical model for measurements in Quantum Mechanics

Abstract

Let $V={\mathbb{C}}^N$, and $H$ (an observable) a Hermitian linear operator on $V$. Let $v_1,...,v_n$ be an orthonormal basis for $V$. Let $\mathcal{M}$ be a measurement apparatus prepared to measure a state of an observed system and collapses the state to one of the $v_j$'s. Here we propose a simple model which explains the Born rule and is compatible with entanglement.

7 pages. Largely revised and extended. Main change: Add that the model can be extended to be compatible with quantum entanglement