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542-outline - Classical treatment of the radiation field...

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CHEM. 542 – Spring 2010 Taught by Dana D. Dlott and Nancy Makri Course Outline 1. Fundamentals of time-dependent quantum mechanics (NM ~4 lectures) The time-dependent Schrödinger equation. Time-independent Hamiltonians and stationary states. Evolution of non-stationary states. Time-evolution operator for time-independent Hamiltonians. The Schrödinger and the Heisenberg pictures. The Heisenberg equation of motion. Wavepackets, localization and quantum interference. Numerical methods for time evolution. The density matrix and its equation of motion. 2. Time evolution with time-dependent Hamiltonians (NM ~4 lectures) Time evolution operator for a time-dependent Hamiltonian. The interaction picture. Time ordering operator and transition amplitudes. The Dyson series. Time-dependent perturbation theory. 1 st and 2 nd order results. Transitions to a continuum. Fermi’s golden rule. Non-perturbative treatments 3. Interaction of radiation with matter (DDD ~4 lectures)
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Unformatted text preview: Classical treatment of the radiation field. Stimulated absorption and emission. Light scattering. Quantized radiation field. Spontaneous emission. 4. Radiation and matter: coherent interactions (DDD ~5 lectures) Ensembles of radiators. Density matrix. Bloch equations. Quantum theory of NMR. Spin (photon, vibrational) echoes. 5. Tunneling and relaxation (NM ~4 lectures) Potential barriers and tunneling in molecular systems. Two-level systems. Site and eigenstate representations. The reduced density matrix. Redfield equations. Two-level system interacting with a bath: tunneling splitting, coherent vs. incoherent dynamics and relaxation. 6. Time correlation functions in spectroscopy (DDD ~5 lectures) Electronic spectroscopy. Vibrational spectroscopy. 7. Chemical reactions (NM ~2 lectures) Flux correlation functions and reaction rates. Transition state theory. Kramers turnover and tunneling....
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  • Spring '08
  • Gruebele
  • density matrix, time-dependent Schrödinger equation, Hamiltonians, Time-dependent perturbation theory, time-dependent quantum mechanics

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