| Semestre: | 2020-1 |
| Responsável: | Prof. Philippe W. Courteille, philippe.courteille@ifsc.usp.br, Sala 45 do Grupo de Óptica |
| Início e termino das aulas: | 9.3.2020 até 26.6.2020 |
| Consultas: | Sexta-feira à tarde na Sala 45 do Grupo de Óptica |
| Horário e local da aula: | Segunda-feira 10h00 à 12h00 e Sexta-feira de 14h00 à 16h00 na sala F-210 |
| Feriados: | 6.4.-12.4.2020 (semana santa), 20.4.-21.4. (Tiradentes), 1.5. (dia do trabalho) |
| Carga Horária (por semana): |
| Teória | 4 |
| Prática | 3 |
| Estudos | 8 |
| Duração | 15 semanas |
| Total | 225 horas |
|
| Conteúdo: |
| 1) Fundamentos da mecânica quântica |
| 2) Momento angular e átomo de hidrogênio |
| 3) Teoria de perturbação e método variacional |
| 4) Estrutura fina e hiperfina |
| 5) Interação com campos estáticos |
| 6) Estruturas atômicas e moleculares |
| 7) Rotações e vibrações moleculares |
| 8) Transições eletrônicas moleculares |
| 9) Propriedades elétricas e ópticas de moléculas |
| 10) Colisões |
|
| Literatura recomendada: |
| Philippe W. Courteille, Apostila do Curso: Quantum Mechanics applied to Atoms and Light |
| Philippe W. Courteille, Apostila do Curso: Atom-Light Interaction and Basic Applications |
| Jook Walraven, Quantum Gases, Lectures at the University of Amsterdam |
| P.W. Atkins and R.S. Friedman, Molecular Quantum Mechanics, (3rd ed.) Oxford University, (1997, 2001) |
| I.N. Levine, Quantum Chemistry, Allyn and Bacon, (3rd ed.) Boston (1983) |
| C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum mechanics, (vol. 1) Wiley Interscience |
| H.A. Bethe, R. Jackiw, Intermediate Quantum Mechnanics, (2nd ed.) W.A. Benjamin, Inc) |
| J.I. Steinfeld, Molecules and Radiation, The MIT Press |
| A. Corney, Atomic and Laser Spectroscopy, Clarendon Press, Oxford |
| B.H. Bransden, C.J. Joachain, Physics of Atoms and Molecules, John Wiley & Sons |
|
Eric Cornell, Very Cold Indeed: The Nanokelvin Physics of Bose-Einstein Condensation |
|
| Data de entrega | Capítulos da apostila | Exercício | Tópicos |
| ---------------------- | ---------------------------- | ------------ | ----------- |
| 09.03.2020 | 1.1.1 - 1.2.3 | | Rutherford's and Bohr's atom models |
| 13.03.2020 | | 1.2.6.1 | Analysis of Rutherford scattering |
| 13.03.2020 | | 1.2.6.2 | Rutherford scattering |
| 13.03.2020 | 2.4.1 - 2.4.3 | | Time evolution in quantum mechanics, Schrödinger and Heisenberg picture |
| 16.03.2020 | | 1.2.6.5 | Magnetic moments |
| 16.03.2020 | | 1.2.6.7 | The hydrogen atom |
| 16.03.2020 | 2.4.4 | | The interaction picture |
| 20.03.2020 | 2.3.1 - 2.3.6 | | Degeneracy, bases as unitary operators, and CCOC |
| 23.03.2020 | | 2.2.9.2 | Normalization of the Bloch vector |
| 23.03.2020 | | 2.2.9.5 | Two-level atom |
| 23.03.2020 | | 2.2.9.6 | The ammonium molecule |
| 23.03.2020 | 2.3.7 - 2.3.8 | | Spanning multi-dimensional Hilbert spaces |
| 27.03.2020 | 2.5.1 - 2.5.3 | | Unitary symmetry transformations in quantum mechanics |
| 30.03.2020 | | 2.3.9.4 | Eigenvalue equation |
| 30.03.2020 | | 2.3.9.7 | Eigenvalues |
| 30.03.2020 | | 2.4.6.1 | Coupled two-level atom |
| 30.03.2020 | 4.1.1 - 4.1.2 | | Particle in a central potential, separation of the angular motion |
| 03.04.2020 | 4.1.3 - 4.1.4 | | Separation of the radial motion |
| 06.04.2020 | | 2.5.5.1 | Calculus with commutator |
| 06.04.2020 | | 2.5.5.4 | Parity |
| 06.04.2020 | | 4.1.5.1 | Parity of the spherical harmonic functions |
| 06.04.2020 | 4.2.1 - 4.3.3 | | Quantum treatment of hydrogen and the SU(2) algebra of angular momentum |
| 13.04.2020 | | 4.1.5.3 | Motion of a free particle in spherical coordinates |
| 13.04.2020 | | 4.1.5.4 | Particle in a spherical box |
| 13.04.2020 | | 4.1.5.6 | Particle in a spherical harmonic potential |
| 13.04.2020 | 4.4.1 - 4.4.4 | | Coupling of angular momenta and Clebsch-Gordan coefficients |
| 17.04.2020 | 5.1.1 - 5.2.2 | | TIPT with/out degeneracy, variational method |
| 20.04.2020 | | 4.2.3.5 | The virial theorem and Bohr's model |
| 20.04.2020 | | 4.2.3.6 | Transition matrix elements |
| 20.04.2020 | | 4.3.4.6 | Matrix representation of the components of the angular momentum |
| 20.04.2020 | 5.4.1 - 5.4.4 | | TDPT, sudden and periodic perturbations |
| 24.04.2020 | 5.4.5 + 7.1.2 | | Higher-order transition rates, the Dirac equation |
| 27.04.2020 | | 4.4.5.1 | Addition/subtraction of angular momenta |
| 27.04.2020 | | 4.4.5.11 | Transition amplitudes between Zeeman sub-states |
| 27.04.2020 | | 4.4.5.7 | Spin-orbit coupling |
| 27.04.2020 | 7.1.3 - 7.1.4 | | Electron spin |
| 04.05.2020 | | 4.4.5.9 | (Un-)coupled bases of the spherical harmonics |
| 04.05.2020 | | 4.4.5.12 | Expansion of the spin-orbit coupling |
| 04.05.2020 | | 5.1.3.4 | Perturbation of a 2-level system |
| 04.05.2020 | 7.2.1 - 7.3.2 | | Hydrogen fine structure via Dirac equation and TIPT |
| 08.05.2020 | 7.4.1 - 7.4.4 | | Hyperfine structure and exotic atoms |
| 11.05.2020 | | 5.1.3.7 | Stark effect for a charge in a harmonic oscillator |
| 11.05.2020 | | 5.2.3.3 | Effect of finite nuclear mass on hydrogen via Rayleigh-Ritz |
| 11.05.2020 | | 5.2.3.4 | Collapse of a condensate with attractive interactions |
| 11.05.2020 | 8.1.1 - 8.2.5 | | Charged particles in electromagnetic fields, interaction with static fields |
| 15.05.2020 | 8.2.6 - 9.2.3 | | Wavefunction symmetrization, Pauli's principle |
| 18.05.2020 | | 5.4.6.1 | Perturbed harmonic oscillator |
| 18.05.2020 | | 7.1.5.4 | Calculating with Dirac matrices |
| 18.05.2020 | 9.3.1 - 9.4.3 | | Atoms with many electrons, periodic system |
| 22.05.2020 | Atom-Light Script 1.2.2 - 2.1.3 | | Spontaneous emission, density operator, and Liouville equation |
| 25.04.2020 | | 7.1.5.3 | Constants of motion of Dirac's Hamiltonian 1 |
| 25.04.2020 | | 7.1.5.5 | Constants of motion of Dirac's Hamiltonian 2 |
| 25.04.2020 | | 7.1.5.2 | Zitterbewegung |
| 25.05.2020 | 13.2.1 - 13.4.5 | | Bloch equations and line broadening |
| 29.05.2020 | 13.5.1 - 14.1.3 | | Multilevel atoms and quantized radiation |
| 01.06.2020 | | 8.2.8.3 | Coupling of two electrons |
| 01.06.2020 | | 14.3.5.2 | Non-Hermitian time evolution |
| 01.06.2020 | | 13.4.6.2 | Saturated absorption spectroscopy |
| 01.06.2020 | 14.2.1 - 14.2.3 | | Jaynes-Cummings model, quantum correlation in light fields |
| 05.06.2020 | 15.1.1 - 15.1.3 + 10.1.1 - 10.1.5 | | Magnetic and adiabatic potentials and the Born-Oppenheimer approximation |
| 08.06.2020 | | 13.1.4.5 | Thermal mixture |
| 08.06.2020 | | 13.1.4.6 | Converting a pure state into a mixture by incomplete measurement |
| 08.06.2020 | | 14.2.4.5 | Creation of quantum correlations in an optical mode |
| 08.06.2020 | 10.2.1 - 10.2.5 + 11.1.1 - 11.1.3 | | Molecular vibrations and rotations, cold collisions |
| 12.06.2020 | 11.4.1 - 11.4.2 + 23.1.1 - 23.2.5 | | Feshbach resonances, contact potentials and the Gross-Pitaevskii equation |
| 15.06.2020 | 21.1.1 - 21.6.5 | | Atom optics and Bose-Einstein condensation |
| 19.06.2020 | 19.1.1 - 19.3.2 | | Collective effects in atoms interacting with cavities, atomic self-organization |
|
| | Seminars | Monograph | Presentation |
| 22.06.2020 | Fabio | The Jaynes-Cummings model and the quantization of the electro-magnetic field |
| 22.06.2020 | Bruno | |
| 26.06.2020 | Anderson | Weisskopf-Wigner derivation of the Bloch equations |
| 26.06.2020 | Salvio | Ultracold bosonic and fermionic quantum gases |
| Suggestions for seminar topics: | The Jaynes-Cummings model and the quantization of the electro-magnetic field |
| Observation of super- and subradiant spontaneous emission of two ions, |
| Squeezed states, |
| The Jaynes-Cummings model, |
| Quantum projection noise, |
| Quantum gates, |
| The method of quantum Monte-Carlo wavefunction simulation, |
| The quantum Zeno effect, |
| Bloch equations: derivation and interpretation, |
| The quantum jumps, its history and observation, |
| Schrödinger's cat, |
| The Einstein-Podolski-Rosen hypothesis and its experimental falsification, |
| Elitzur and Vaidman bomb testing problem, |
| Topological phases and the Aharonov-Bohm effect, |
| Quantum non-demolition measurements, |
| Calculation of photoelectric effect from Fermi's golden rule, |
| Quantum correlations and the experiments of Young and Hanbury-Brown-Twiss, |
| The Hartree-Fock method, |
| Temporal evolution of a free particle described by a Gaussian wave packet, |
| The WKB approximation, |
| Rydberg atoms, |
| The helium atom, |
| The quadratic and the dynamic Stark effect, |
| The blackbody radiation-induced Stark effect, |
| The method of combining atomic orbitals (LCAO), |
| Ultracold molecules, |
| Efimov states, |
| Bose-Einstein condensation. |