In this lecture we shall present a survey of recent work on several topics related with numerical approximation of waves.Control Theory is by now and old subject, ubiquitous in many areas of Science and Technology. There is a quite well-established finite-dimensional theory and many progresses have been done also in the context of PDE (Partial D...
Creator:
Zuazua, Enrique (Basque Center for Applied Mathematics)
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Major League Baseball is a multi-billion dollar per year industry that relies heavily on the quality of its schedule. Teams, fans, TV networks, and even political parties (in a way revealed in the talk) rely on the schedule for profits and enjoyment. Only recently have the computational tools of operations research been powerful enough to addres...
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The talk will begin with an introduction to the quantum master equation (Liouville-von Neumann equation), followed by a discussion of how we have used this equation it in a semiclassical algorithm for calculating of non-Born-Oppenheimer molecular dynamics. I will also discuss the physical origin of decoherence in electronically nonadiabatic mole...
Creator:
Truhlar, Donald G. (University of Minnesota, Twin Cities)
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Joint work with Oleksiy Roslyakk(Chemistry department, University of California Irvine, USA).Nonlinear optical spectroscopy is commonly formulatedsemi-classically, i.e. letting a quantum material interact withclassical fields. The key quantity in this approach is thenonlinear polarization, characterizing the microscopic responseof the material t...
Creator:
Mukamel, Shaul (University of California, Irvine)
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Hamiltonian engineering has been shown to be a powerful technique, which can be applied to many different problems that involve steering a quantum system to achieve a desirable outcome, and a particularly promising approach to Hamiltonian engineering is the optimal control approach, i.e., formulating the problem as an optimization problem. Howev...
Creator:
Schirmer, Sonia (University of Cambridge)
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In the late 1970's Meyer and Miller (MM) [J. Chem.Phys.70,3214 (1979)] presented a classical Hamiltonian corresponding toa finite set of electronic states of a molecular system (i.e.,the various potential energy surfaces and their couplings), sothat classical trajectory simulations could be carried outtreating the nuclear and electronic degrees ...
Creator:
Miller, William H. (University of California, Berkeley)
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Joint work with Julien Salomon.In this presentation we present and illustrate a greedy algorithmthat enables in a first stage to design a set of selective laser fields that can in a second stage be used to identify some unknown parameters of quantum systems for a problem ofHamiltonian Identification.
Creator:
Maday, Yvon Jean (Université de Paris VI (Pierre et Marie Curie))
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
