The hydrogen molecular ion with time-dependent magnetic field strength as control

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider the hydrogen molecular ion with timedependent 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.

Original languageEnglish (US)
Title of host publication10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791846391
DOIs
StatePublished - Jan 1 2014
EventASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014 - Buffalo, United States
Duration: Aug 17 2014Aug 20 2014

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume6

Other

OtherASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014
CountryUnited States
CityBuffalo
Period8/17/148/20/14

Fingerprint

Hamiltonians
Hydrogen
Control Problem
Magnetic Field
Magnetic fields
Ions

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Kime, K. A. (2014). The hydrogen molecular ion with time-dependent magnetic field strength as control. In 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC201435345

The hydrogen molecular ion with time-dependent magnetic field strength as control. / Kime, Katherine A.

10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), 2014. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kime, KA 2014, The hydrogen molecular ion with time-dependent magnetic field strength as control. in 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Proceedings of the ASME Design Engineering Technical Conference, vol. 6, American Society of Mechanical Engineers (ASME), ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014, Buffalo, United States, 8/17/14. https://doi.org/10.1115/DETC201435345
Kime KA. The hydrogen molecular ion with time-dependent magnetic field strength as control. In 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME). 2014. (Proceedings of the ASME Design Engineering Technical Conference). https://doi.org/10.1115/DETC201435345
Kime, Katherine A. / The hydrogen molecular ion with time-dependent magnetic field strength as control. 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), 2014. (Proceedings of the ASME Design Engineering Technical Conference).
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