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Dynamic programming and quantum mechanical motion

✍ Scribed by R. Vasudevan; L.S. Varadharajan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
368 KB
Volume
37
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this article we show that quantum dynamics is the most natural generalization of classical dynamics from the point of view of optimal control. Employing the techniques of dynamic programming, we derive the SchrSdinger equation starting from the Lagrangian defined in terms of Nelson's forward and backward velocities. The generalization to the relativistic case is also analyzed and the Klein Gordon Equation is similarly derived. (~) 1999 Elsevier Science Ltd. All rights reserved.

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