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:

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.

Back to:

  • Department of Physical Chemistry (UPV-EHU)
  • Department of Theoretical Physics (UPV-EHU)

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    Last update: May 4, 2002