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 language | English (US) |
|---|---|
| Title of host publication | 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control |
| Publisher | American Society of Mechanical Engineers (ASME) |
| ISBN (Electronic) | 9780791846391 |
| DOIs | |
| State | Published - 2014 |
| Event | ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014 - Buffalo, United States Duration: Aug 17 2014 → Aug 20 2014 |
Publication series
| Name | Proceedings of the ASME Design Engineering Technical Conference |
|---|---|
| Volume | 6 |
Other
| Other | ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2014 |
|---|---|
| Country | United States |
| City | Buffalo |
| Period | 8/17/14 → 8/20/14 |
ASJC Scopus subject areas
- Modeling and Simulation
- Mechanical Engineering
- Computer Science Applications
- Computer Graphics and Computer-Aided Design
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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