• DocumentCode
    1310321
  • Title

    Doing quantum mechanics with control theory

  • Author

    Rosenbrock, H.H.

  • Author_Institution
    Linden, Ross-on-Wye, UK
  • Volume
    45
  • Issue
    1
  • fYear
    2000
  • fDate
    1/1/2000 12:00:00 AM
  • Firstpage
    73
  • Lastpage
    77
  • Abstract
    Bellman and Dreyfus (1964) showed how classical mechanics can be obtained from Hamilton´s principle by dynamic programming. If we add noise in a particular way, we obtain Schrodinger´s equation and many other results from the elementary theory of quantum mechanics. Some new results can also be obtained, and there are important consequences for the philosophy of science
  • Keywords
    Schrodinger equation; control theory; dynamic programming; philosophical aspects; quantum theory; control theory; philosophy; quantum mechanics; Control theory; Dynamic programming; Filling; Integral equations; Probability distribution; Quantum mechanics; Schrodinger equation; White noise; Writing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.827357
  • Filename
    827357