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This
workshop will concentrate on advanced numerical methods and new mathematical
tools for control and optimization in the quantum control of matter at
the molecular level using current advanced laser technology.
This
new field of research is dedicated to "using current state of the art
laser technology to control and manipulate the quantum behaviour and motion
of matter at the molecular level". The basis of this new science is the
encoding and control of quantum information at the molecular level in
order to control the time evolution of molecular processes, such as guiding
the final output of a reaction to a desired target. Most of the research
in this area has been numerical and theoretical, involving multidimentional
time-dependent Schroedinger equations,TDSE's. Coupling these molecular
processes to the laser field equations, Maxwell's equations, results in
coupled parabolic (TDES's) and hyperbolic (Maxwell) partial differential
equations. There are outstanding problems, both numerical and mathematical,
which this workshop will address by bringing together mathematicans, theoretical
chemists and physicists working in the area of control and optimization
of systems subject to quantum laws.
The
workshop will involve about 30 international experts in laser molecule
interactions, optimization, theory and control of molecular dynamics.
It will emphasize participation of graduate students in applied mathematics,
theoretical chemistry and physics.
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