Optimal guidance law in quantum mechanics

Ciann-Dong Yang, Lieh Lieh Cheng, Ming Hsien Hsia

研究成果: Conference contribution

摘要

Following the de Broglie's idea of pilot wave, this paper treats quantum mechanics as a problem of stochastic optimal guidance law design. The guidance scenario considered in the quantum world is that an electron is the flight vehicle to be guided and its accompanying pilot wave is the guidance law to be designed so as to guide the electron to a random target driven by Wiener process, while minimizing a cost-to-go function. After solving the stochastic optimal guidance problem by differential dynamic programming, we point out that the optimal pilot wave guiding the particle's motion is just the wavefunction ψ(t,x), a solution to Schrödinger equation. Quantum trajectories under the action of the optimal guidance law are solved and their statistical distribution is shown to coincide with the prediction of the probability density function ψψ.

原文English
主出版物標題26th Chinese Control and Decision Conference, CCDC 2014
發行者IEEE Computer Society
頁面1095-1100
頁數6
ISBN(列印)9781479937066
DOIs
出版狀態Published - 2014 一月 1
事件26th Chinese Control and Decision Conference, CCDC 2014 - Changsha, China
持續時間: 2014 五月 312014 六月 2

出版系列

名字26th Chinese Control and Decision Conference, CCDC 2014

Other

Other26th Chinese Control and Decision Conference, CCDC 2014
國家China
城市Changsha
期間14-05-3114-06-02

All Science Journal Classification (ASJC) codes

  • Information Systems and Management
  • Control and Systems Engineering

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  • 引用此

    Yang, C-D., Cheng, L. L., & Hsia, M. H. (2014). Optimal guidance law in quantum mechanics. 於 26th Chinese Control and Decision Conference, CCDC 2014 (頁 1095-1100). [6852328] (26th Chinese Control and Decision Conference, CCDC 2014). IEEE Computer Society. https://doi.org/10.1109/CCDC.2014.6852328