Katherine Kime, PhD

Associate Professor

  • 60 Citations
  • 3 h-Index
1990 …2018
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Research Output 1990 2018

  • 60 Citations
  • 3 h-Index
  • 6 Article
  • 5 Conference contribution
  • 1 Chapter
2018
Open Access
Mirror Symmetry
Finite Difference
Mirrors
Discretization
Mirror
2014

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

Kime, K. A., Jan 1 2014, 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), (Proceedings of the ASME Design Engineering Technical Conference; vol. 6).

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

Hamiltonians
Hydrogen
Control Problem
Magnetic Field
Magnetic fields
2012

Finite difference approximation of quantum mechanical wave packets

Kime, K. A., Jan 1 2012, Advances in Analysis: Problems of Integration. Nova Science Publishers, Inc., p. 283-305 23 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Finite Difference Equation
Finite Difference Approximation
Wave Packet
Separation of Variables
Wave equation
2011
1 Citation (Scopus)

Solving for quantum controls

Kime, K. A., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. p. 287-290 4 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 7).

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

Quantum Control
Wave packets
Wave Packet
Discretization
2009

Effect of the spatial extent of the control in a bilinear control problem for the schroedinger equation

Kime, K. A., Dec 1 2009, ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009. PARTS A, B AND C ed. p. 529-534 6 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 4, no. PARTS A, B AND C).

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

Control Problem
Algebra
Lie Algebra
Semidiscretization
Maple
2008
2 Citations (Scopus)

Control lie algebras of semi-discretizations of the schroedinger equation

Kime, K. A., Jun 17 2008, 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007. p. 643-650 8 p. (2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007; vol. 5 PART A).

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

Semidiscretization
Algebra
Lie Algebra
Discretization
2005
1 Citation (Scopus)

Numerical approximation of bilinear control of the schroedinger equation

Kime, K. A., Dec 1 2005, Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. p. 623-626 4 p. (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005; vol. 6 A).

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

MATLAB
2000
1 Citation (Scopus)
Schrodinger Equation
Finite Difference Approximation
Maple
Approximation
1997
1 Citation (Scopus)

Control of matter waves in adjacent potential wells

Kime, K., Mar 10 1997, In : Mathematical Methods in the Applied Sciences. 20, 4, p. 369-381 13 p.

Research output: Contribution to journalArticle

Exact Controllability
Potential Well
Controllability
Adjacent
Observability Inequality
1995
18 Citations (Scopus)

Simultaneous control of a rod equation and a simple Schrödinger equation

Kime, K., Mar 10 1995, In : Systems and Control Letters. 24, 4, p. 301-306 6 p.

Research output: Contribution to journalArticle

Controllability
1993
11 Citations (Scopus)

Control of transition probabilities of the quantum-mechanical harmonic oscillator

Kime, K., May 1993, In : Applied Mathematics Letters. 6, 3, p. 11-15 5 p.

Research output: Contribution to journalArticle

Open Access
Transition Probability
Harmonic Oscillator
Control Problem
1990
25 Citations (Scopus)

Boundary controllability of Maxwell's equations in a spherical region

Kime, K. A., Jan 1 1990, In : SIAM Journal on Control and Optimization. 28, 2, p. 294-319 26 p.

Research output: Contribution to journalArticle

Divergence-free
Maxwell equations
Controllability
Maxwell's equations
Moment Problem