A deterministic state-space model of intrinsic quantum uncertainties

Ciann-Dong Yang, Kuan Chang Su, Chung Hsuan Kuo

研究成果: Conference contribution

摘要

For an intrinsic quantum uncertainty described by |x - x(t)| ≤ Δx and |p - p(t)|≤ Δp, with ΔxΔp ≥ h/2, we establish a state-space model governed by the quantum Hamilton equations q = f(q, p) and p == g(q, p) such that their solutions (q(t), p(t)) satisfy the given uncertainty bound and meanwhile, the statistical distributions of the trajectory sets {q(t)} and {p(t)} exactly reproduce the probability density functions ψ (x)ψ(x) and ψ (p)ψ(p) prescribed a priori. Although actual quantum trajectories are random and non-differentiable, we point out that a complex trajectory q(t) solved from the state-space model provides an uncertainty boundary encompassing an ensemble of quantum trajectories in such a way that its real part qR (t) provides the mean trajectory, while its imaginary part q1 (t) gives the radius of deviation of the quantum trajectories from the mean traj ectory.

原文English
主出版物標題2013 10th IEEE International Conference on Control and Automation, ICCA 2013
頁面1766-1771
頁數6
DOIs
出版狀態Published - 2013 8月 26
事件2013 10th IEEE International Conference on Control and Automation, ICCA 2013 - Hangzhou, China
持續時間: 2013 6月 122013 6月 14

出版系列

名字IEEE International Conference on Control and Automation, ICCA
ISSN(列印)1948-3449
ISSN(電子)1948-3457

Other

Other2013 10th IEEE International Conference on Control and Automation, ICCA 2013
國家/地區China
城市Hangzhou
期間13-06-1213-06-14

All Science Journal Classification (ASJC) codes

  • 人工智慧
  • 電腦科學應用
  • 控制與系統工程
  • 電氣與電子工程
  • 工業與製造工程

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