Vorlesungen

Time-dependent quantum mechanics and time-resolved spectroscopy I

Time-dependent quantum mechanics and time-resolved spectroscopy II

Abstract

The lecture is concerned with time-dependent quantum mechanics and its application in describing time-resolved spectroscopy. The purpose is to (a) gain an insight into the role of time in a quantum description of matter and its interaction with sourroundings and (b) to desribe transient spectroscopy with the help of time-dependent quantum mechanics. The second part (II) of this lecture will be given as a block in the second part of WS 04/05.

Time-dependent quantum mechanics and time-resolved spectroscopy I

  • 1  The time-dependent Schrödinger equation
  • 1.1  General structure, Propagators and Green's functions
  • 1.2  The occurence of time in quantum mechanics
  • 1.3  Relation to classical stochastic motion

  • 2  Alternative formulations for time-dependent problems
  • 2.1  Path integrals and the connection to classical trajectories
  • 2.2  Hydrodynamical formulation: Bohmian mechanics
  • 2.3  Wigner-phase space formulation

    • Time-dependent quantum mechanics and time-resolved spectroscopy II

  • 3  Principle of time-resolved spectroscopy: wave packets
  • 3.1  Wave packet properties
  • 3.2  Free Gaussian wave packet
  • 3.3  Gaussian wave packet in a quartic potential: coherent states
  • 3.4  Rotational and vibrational wave packets

  • 4  Time-dependent perturbation theory
  • 4.1  General theory
  • 4.2  First-order transitions: preparation of excited state molecular wave packets
  • 4.3  Second-order transitions: preparation of ground-state molecular wave packets

  • 6  Time-resolved spectroscopy
  • 6.1  Pump-probe arrangements
  • 6.2  Pump-probe fluorescence
  • 6.3  Pump-probe ionization
  • 6.4  Time-resolved photoelectron spectroscopy
  • 6.5  Transient absorption
  • 6.6  Time-resolved four-wave-mixing spectroscopy

    • Termin

    WS 2004 (2-stündig), Start WS 04/05: December, 6. (Nikolausi), 10.00 , Seminarraum Physikalische Chemie