This article is cited in 5 papers

Stochastic Systems

Pontryagin principle of maximum for the quantum problem of speed

P. A. Golovinski

Voronezh State Academy of Building and Architecture

Abstract: The Pontryagin principle of maximum as originally formulated for the classical dynamic systems, was extended to the quantum systems with a finite number of states of the discrete spectrum. The principle was derived on the basis of equivalence of the matrix representation of the Schrödinger equation to the system of ordinary differential equations. An example of the problem of speed for generation of the given-structure wave package was considered.

PACS: 32.80.Qk

Presented by the member of Editorial Board: P. P. Parkhomenko

Received: 17.05.2006

 English version: Automation and Remote Control, 2007, 68:4, 610–618

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