Research Output per year

## Fingerprint Dive into the research topics where Katherine Kime is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Controllability
Engineering & Materials Science

Control Problem
Mathematics

Schrodinger Equation
Mathematics

Finite Difference Approximation
Mathematics

Wave Packet
Mathematics

Finite Difference
Mathematics

Finite Difference Equation
Mathematics

Semidiscretization
Mathematics

## Research Output 1990 2018

## Palindromic control and mirror symmetries in finite difference discretizations of 1-D schrödinger equations

Kime, K. A., Jun 2018, In : Discrete and Continuous Dynamical Systems - Series B. 23, 4, p. 1601-1621 21 p.Research output: Contribution to journal › Article

Open Access

Mirror Symmetry

Finite Difference

Mirrors

Discretization

Mirror

## 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 proceeding › Conference contribution

Hamiltonians

Hydrogen

Control Problem

Magnetic Field

Magnetic fields

## 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 proceeding › Chapter

Finite Difference Equation

Schrodinger Equation

Finite Difference Approximation

Wave Packet

Quantum Theory

## 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 proceeding › Conference contribution

Quantum Control

Wave packets

Wave Packet

Discretization

## 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 proceeding › Conference contribution

Control Problem

Algebra

Lie Algebra

Semidiscretization

Maple