Atomic, Molecular and Optical Physics

One-electron atoms

• Hydrogen atom
• Relativistic corrections
  • lecture notes
• Addition of angular momentum
  • Lecture by Barton Zwiebach
• Zeeman effect
  • lecture notes

Many-electron atoms

• Thomas-Fermi model
  • lecture notes
  • B&J, §7.3
• Hartree-Fock theory
  • S&O, Chapter 3
  • practical tutorial on Hartree-Fock method
• Atomic term symbols
  • Lecture by T. Daniel Crawford
• L-S coupling and j-j coupling
  • B&J, §7.5
• Configuration interaction

Time-dependent quantum mechanics

• The Schrodinger, Heisenberg and interaction pictures
  • DT, §9.1
• Time-dependent perturbation theory
  • DT, §9.2
• Dyson equation and Dyson series

Interaction of atomic systems with electromagnetic fields

• Selection rules
  • B&J, §4.5, §8.1
• Strong field excitation
  • DT, Chapter 15
• Strong field ionization
  • lecture notes
  • M. Y. Ivanov , M. Spanner, and O. Smirnova, “Anatomy of strong field ionization”, J. of Modern Optics 52, 165 (2005)
  • Z. J. Long and W.-K. Liu, “Keldysh theory of strong-field ionization”, Canadian Journal of Physics 88, 227 (2010)
  • K. Amini et al., “Symphony on strong field approximation”, Rep. Prog. Phys. 82, 116001 (2019)
• High harmonic generation
  • lecture notes
  • K. L. Ishikawa, High-Harmonic Generation, Chapter 19 in “Advances in Solid State Lasers Development and Applications”, M. Grishin (ed.), 2010
• Linear and non-linear spectroscopy
  • lecture notes
  • DT, Chapter 13, 14
• Transient absorption spectroscopy
  • lecture notes
  • R. Santra et al., “Theory of attosecond transient absorption spectroscopy of strong-field-generated ions”, Phys. Rev. A 83, 033405 (2011)
  • Supplemental Material of N. V. Golubev, J. Vaníček, and A. I. Kuleff, Core-Valence Attosecond Transient Absorption Spectroscopy of Polyatomic Molecules, Phys. Rev. Lett. 127, 123001 (2021)

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References

• B&J: “Physics of Atoms and Molecules”, B. H. Bransden and C. J. Joachim, 2nd edition, Benjamin Cummings, 2003.
• DT: “Introduction to Quantum Mechanics: A Time-Dependent Perspective”, D. J. Tannor, University Science Books, 2006.
• S&O: “Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory”, A. Szabo and N. S. Ostlund, Dover Books on Chemistry, 1996.