A mathematical model for measurements in Quantum Mechanics

Tuyen Trung Truong

A mathematical model for measurements in Quantum Mechanics

Mathematical Physics 2014-10-16 v3 math.MP Quantum Physics

Authors: Tuyen Trung Truong

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.

Keywords

quantum measurement theory quantum measurement quantum state space

Cite

@article{arxiv.1407.5519,
  title  = {A mathematical model for measurements in Quantum Mechanics},
  author = {Tuyen Trung Truong},
  journal= {arXiv preprint arXiv:1407.5519},
  year   = {2014}
}

Comments

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

A mathematical model for measurements in Quantum Mechanics

Abstract

Keywords

Cite

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