Bob Snider's Fest

Bob Snider's Fest

May 6th - May 10th, 2002
The University of the Basque Country - Faculty of Science


	monday	tuesday	wednesday	thursday	friday
9:30	Density operator R.F. Snider	Density operator R.F. Snider	Density operator R.F. Snider	Density operator R.F. Snider	Density operator R.F. Snider
11:00	Density corrections to thermal transport coefficients of gases using time-correlation function formulae S. Alavi	Controlling chaos, pattern formation and turbulence Guowei Wei	Model of Time-of-flight measurement by fluorescenceJ. G. Muga
15:00	Density operator R.F. Snider	Density operator R.F. Snider	Density operator R.F. Snider	Density operator R.F. Snider
16:15	Current induced excitations in Molecules between electrodes S. Alavi	Quantum evolution and master equations according to real clocks I. L. Egusquiza

Venue:

All talks from Monday to Thursday will take place in the Conference Room of the Faculty Building, next to the Main Conference Hall. The talk on Friday will take place in the Seminar Room of the Department of Theoretical Physics.

Participants:

R. F. Snider, Department of Chemistry, UBC, Vancouver, Canada.
Saman Alavi, Oklahoma State University.
Guo Wei Wei , Department of Computational Science, National University of Singapore.
J. G. Muga, Department of Physical Chemistry, The University of the Basque Country.
I.L. Egusquiza, Department of Theoretical Physics, The University of the Basque Country.

Program of the course on the density operator, by R. F. Snider

Observables and States:
        Review of basics: dispersion of observations, the set of
        observables, representation as an algebra of operators on
        Hilbert space, states as trace class operators.
        Matrix representation of operators.
The convex set of states:
        extremal elements, probabilities for an observable's eigenvalues,
        eigenvalues and eigenvectors of density operators, measures
        of purity, alternate representations in terms of pure states.
Fermion systems:
        reduced density operators, N-representability.
Observable expansion of a density operator:
        Fano's approach, multiple moments for higher spin systems,
        irreducible Cartesian tensors.
Dynamical Maps:
        phenomenological equations, extremal elements.
Continuous time evolution:
        Kossakovski and Gorini et al positivity conditions, Liouville
        superoperator.
Generalized master equation:
        derivation, weak coupling, van Hove limit, Zwanzig squeeze.
Pauli master equation:
        derivation.
Redfield equation:
        derivation, positivity preservation problems.

Applications: (using 1 or 2 spin-1/2 particles)

        1) Rotating frames, Rabi flopping frequency.
        2) Evolution with hyperfine interaction.
        3) Cross polarization with magic angle spinning.

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Department of Physical Chemistry (UPV-EHU)

Department of Theoretical Physics (UPV-EHU)

Last update: May 4, 2002