• DOI:10.1103/PhysRevA.73.052109
• Corpus ID: 43054665

Born rule in quantum and classical mechanics

@article{Brumer2006BornRI,
  title={Born rule in quantum and classical mechanics},
  author={Paul Brumer and Jiangbin Gong},
  journal={Physical Review A},
  year={2006},
  volume={73},
  pages={052109}
}

• P. Brumer, J. Gong
• Published 24 April 2006
• Physics
• Physical Review A

Considerable effort has been devoted to deriving the Born rule [i.e., that {psi}(x){sup 2}dx is the probability of finding a system, described by {psi}, between x and x+dx] in quantum mechanics. Here we show that the Born rule is not solely quantum mechanical; rather, it arises naturally in the Hilbert-space formulation of classical mechanics as well. These results provide insights into the nature of the Born rule, and impact on its understanding in the framework of quantum mechanics.