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The Hydrogen Molecular Ion With Time-Dependent Magnetic Field Strength as Control

[+] Author Affiliations
Katherine A. Kime

University of Nebraska Kearney, Kearney, NE

Paper No. DETC2014-35345, pp. V006T10A028; 9 pages
doi:10.1115/DETC2014-35345
From:
  • ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Buffalo, New York, USA, August 17–20, 2014
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4639-1
  • Copyright © 2014 by ASME

abstract

We consider the hydrogen molecular ion with time-dependent magnetic field strength. We discretize the corresponding Schroedinger equation with the Hamiltonian written in prolate spheroidal coordinates. We formulate a control problem and give an example of steering a restricted initial state to a restricted terminal state.

Copyright © 2014 by ASME

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