Teórica #1 (alguna notas introductorias de libros: Tannor(1)
| Lunes 5/14 | Repaso de QM dependiente del tiempo, Solucion exacta y perturbativa de un potential armonico (2hrs). | Time-dependent Schr Eq. Cm(t) and bm(t) coeffficients. | Time Dependent QM and the time dependent coefficients.pdf | ||
| Exact Solution for a Harmonic oscillator | Exact Solution to a Harmonic Perturbation | ||||
| First Order Perturbation Theory | First Order Solution PT | ||||
| Harmonic Oscillation to First order and comparison to the EXACT solution: When is 1st PT valid? | Comparison of Exact solution and First Order PT |
Teórica #2 ( algunas notas de libros: Mukamel (1) Mukamel (2) Ratner Schatz (1)
| Miercoles 5/16 | Representaciones (Esquemas) en QM, Operador de evolucion temporal Representacion de Interaccion (2 hrs) | Time-Evolution Operator | Time Evolution Operator |
| Schroedinger representations, Heisenberg Representation and Interaction Picture | Representations in QM | ||
| The time evolution operator in the IP | Time Evolution in the Interaction Picture | ||
| b(t) and the Interaction picture | The relationship between the expansion coefficients and the Interaction Picture.pdf | ||
| PT beyond first order and complete solution to Sch eq | Perturbation Theory beyond first order: Finding the exact solution to the Schroedinger Equation | ||
| Ejemplos : Step function, cambios adiabaticos, | Step Function: Radiationless transitions | Radiationless Transitions | |
| Adiabatic Perturbation | Adiabatic Turn On |
| Regla de Oro de Fermi. Relajacion irreversible (2 hrs) . | Transition Rates (Fermi Golden Rule) to a density of States | Fermi Golden Rule |
Teórica #3
| Viernes 5/18 | Irreversible Relaxation: Depletion of the initial states | Irreversible Relaxation: Depletion of the initial states and Distribution of Acceptor states | ||
| Irreversible Relaxation: Distribution of Acceptor states | Irreversible Relaxation: Distribution of Acceptor states | Cauchy Principal | ||
| Absorcion acoplada a relajacion . Interaccion L-M (semiclasica) Dipolo de transicion. Relacion con variables experimentales (coeficientes de einstein, Oscillator strength, seccion eficaz, tiempo de vida en fotoluminescencia) (2 hr) | Absorption to a state coupled to a conitnuum | Absorption to a state coupled to a conitnuum | ||
| Dipolos de transición, Transiciones Moleculares, Reglas de selección. Ensembles. | Dipole Transitions | Electric Dipole Transitions | Lecture Notes 15 /PDF/Symmetry and the Transition dipole moment integral.pdf | |
| Dipole transitions and Fermi Golden Rule | Magnetic Dipoles and Quadrupoles | |||
| Molecular Transitions | Molecular Transitions | |||
Teórica #4
| Lunes 5/21 | Matriz de Densidad para descripción de estados puros y mezclas. (2 hrs) | Ensembles (Stat. mech) Density Matrix | Density Matrix and Ensembles |
| Density Matrix | |||
| Funciones de Correlación clásicas, cuánticas. Lineas espectrales (2 hrs) | Correlation Functions | General properties of Correlation Functions | |
| Quantum Correl. Functions | time Correlation functions in QM | ||
| Cross sections, lineshape function | Absorption cross sections, Lineshapes from TCF | ||
| Lineas Espectrales. Seccion eficaz y Perfil de bandas. . Regla de oro de Fermi y Correlaciones dependientes del tiempo . (2 hrs) | Examples of Correlations functions to calculate Spectra (Rot, Vib). Inhomogeneous and Homogenoues broadening | TCF and Spectroscopy (FGR) |
