| 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 |
|
| Critérios de avaliação/aprovação: |
| Cada aluno admistrará uma aula inteira sobre um sub-tópico do curso escolhido na apostila. A aula será avaliada e conta por 1/3 na nota final. |
| Será organizado um seminário com um trabalho escrito e uma apresentação oral. A nota do seminário conta por 1/3 na nota final. |
| Serão resolvidos exercícios em cada aula. A participação nas discussões será avaliada e conta por 1/3 na nota final. |
|
| Literatura recomendada: |
| Philippe W. Courteille, Apostila do Curso: Quantum Mechanics applied to Atoms and Light |
| 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 |
| Aluno | Data | Exercício | |
| ---------------- | ------------- | ------------ | |
| | 11.03.2019 | | |
| | 11.03.2019 | | |
| Alexandre | 13.03.2019 | 1.4.1.1 | Analysis of Rutherford scattering |
| Lucas | 13.03.2019 | 1.4.1.2 | Rutherford scattering |
| Marcia | 18.03.2019 | 1.4.1.4 | Radiation of an oscillating dipole |
| Juan | 18.03.2019 | 1.4.1.5 | Magnetic moments |
| Pablo | 20.03.2019 | 1.4.1.6 | Bohr's atom |
| Heitor | 20.03.2019 | 1.4.1.7 | The hydrogen atom |
| Lucas | 25.03.2019 | 2.6.2.2 | Normalization of the Bloch vector |
| Marcia | 25.03.2017 | 2.6.2.6 | The ammonium molecule |
| Pablo | 27.03.2017 | 2.6.3.5 | Eigenvalues and eigenvectors |
| Juan | 27.03.2017 | 2.6.3.7 | Eigenvalues |
| Lucas | 01.04.2017 | 2.6.4.1 | Coupled two-level atom |
| Juan | 01.04.2017 | 2.6.5.1 | Calculus with commutator |
| Pablo | 03.04.2017 | 4.5.1.6 | Particle in a spherical harmonic potential |
| Heitor | 03.04.2017 | 4.5.2.1 | Asymptotes of Laguerre's polynomials |
| Lucas | 08.04.2017 | 4.5.2.5 | The virial theorem and Bohr's model |
| Juan | 08.04.2017 | 4.5.2.6 | Transition matrix elements |
| Alexandre | 10.04.2019 | 4.5.3.6 | Matrix representation of the components of the angular momentum |
| Marcia | 10.04.2019 | 4.5.3.7 | Spin-1/2-particle in a magnetic field |
| Marcia | 22.04.2019 | 4.5.4.1 | Addition/subtraction of angular momenta |
| Pablo | 22.04.2019 | 4.5.4.3 | Spin-orbit coupling |
| Lucas | 24.04.2019 | 4.5.4.6 | Fine and hyperfine structure of the rubidium atom 85Rb |
| Pablo | 24.04.2019 | 4.5.4.8 | Transition amplitudes between Zeeman sub-states |
| Heitor/Alexandre | 29.04.2019 | 4.5.4.11 | (Un-)coupled bases of the spherical harmonics |
| Juan | 29.04.2019 | 5.5.1.3 | Extended nucleus |
| Marcia | 06.04.2019 | 5.5.1.4 | Perturbation of a 2-level system |
| Alexandre | 06.05.2019 | 5.5.1.5 | Stark effect for an electron in a box |
| Pablo | 08.05.2019 | 5.5.2.1 | Variational method applied to a quartic potential |
| Juan | 08.05.2019 | 5.5.2.3 | Effect of finite nuclear mass on hydrogen via Rayleigh-Ritz |
| Marcia | 13.05.2019 | 5.5.4.4 | Impact of the rapidity of a perturbation |
| Lucas | 13.05.2019 | 7.5.1.3 | Constants of motion of Dirac's Hamiltonian |
| % | 20.05.2019 | 7.5.3.2 | Hyperfine structure of sodium |
| Juan | 20.05.2019 | 8.4.2.2 | Zeeman shift and quantization axes |
| Lucas | 22.05.2019 | 8.4.2.3 | Coupling of two electrons |
| Lucas | 22.05.2019 | 8.4.2.4 | Breit-Rabi formula |
| Marcia | 27.05.2019 | 8.4.2.6 | Diamagnetism of the ground states of H atoms |
| Juan | 27.05.2019 | 8.4.3.1 | Stark effect in hydrogen |
| % | 29.05.2019 | 9.5.2.1 | Helium atom |
| % | 29.05.2019 | 9.5.2.2 | Shielding in helium |
| Heitor | 03.06.2019 | Aula | Density operator & optical Bloch equations, Secs. 13.1.1-4.3 |
| Lucas | 05.06.2019 | Aula | 2nd quantization, dressed states, the JC model, and spontaneous emission, Secs. 14.1.1-3.2 |
| Marcia | 10.06.2019 | Aula | Optical forces and trapping potentials, Secs. 15.1.1-2.4 |
| Pablo | 12.06.2019 | Aula | Magnetic trapping potentials and evaporation techniques, Secs. 15.1.2 & 23.4.1-4.3 |
| Alexandre | 17.06.2019 | Aula | Quantum statistics of an ideal Bose gas, Secs. 23.1.3 & 24.1.1-4 |
| Juan | 19.06.2019 | Aula | Bose-Einstein condensation in second quantization, Secs. 25.1.1-25.7.3 |
| Alexandre, Marcia, Lucas | 24.06.2019 | Seminário | Quantum Monte-Carlo wavefunction simulation, Squeezed states, Quantum jumps |
| Heitor, Juan, Pablo | 26.06.2019 | Seminário | Quantum Zeno effect, Super- and subradiance, Aharanov-Bohm effect |