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)

Molecular structure, dynamics, and spectroscopy

• Non-adiabatic molecular dynamics and Born–Oppenheimer approximation
  • lecture notes
  • DYK, Chapter 1
  • MB, Chapter 2
  • J. P. Malhado, M. J. Bearpark, and J. T. Hynes, “Non-adiabatic dynamics close to conical intersections and the surface hopping perspective”, Frontiers in Chemistry, vol. 2 (2014)
• Group theory
  • lecture notes
  • H&B, Chapter 1
  • S&B, §2.7
  • WDC, Chapter 5
  • PB, Chapters 1-5
• Rotations and vibrations of molecules
  • lecture notes 1 and 2
  • PB, Chapters 10-12
  • WDC, Chapters 2-4
• Vibrational and Raman spectroscopy
  • S&B book
  • PB, Chapter 14
  • WDC, Chapters 6, 7
• Electronic structure of molecules. Density Functional Theory.
  • H&B, Chapter 4
  • E&D, Chapters 1-4
• Wavepacket interferometry
  • DT, Chapter 13.1
• Vibrationally resolved electronic spectroscopy
  • DT, Chapter 14
• Numerical methods of quantum dynamics
  • Lecture notes of Prof. Hans-Dieter Meyer
  • DT, Chapter 11

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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.
• DYK: “Conical intersections: electronic structure, dynamics & spectroscopy”, W. Domcke, D. Yarkony, and H. Köppel, World Scientific Publishing, 2004.
• MB: “Beyond Born-Oppenheimer: Conical intersections and electronic non-adiabatic coupling terms”, M. Baer, Wiley, 2006.
• PB: “Molecular Symmetry and Spectroscopy”, P. Bunker, Elsevier Science, 2014.
• WDC: “Molecular vibrations: the theory of infrared and Raman vibrational spectra”, E. B. Wilson, J. C. Decius, and P. C. Cross, Dover Publications, 1980
• H&B: “Symmetry and spectroscopy: an introduction to vibrational and electronic spectroscopy”, D. C. Harris and M. D. Bertolucci, Dover Publications, 1989.
• S&B: “Infrared and Raman spectroscopy: methods and applications”, B. Schrader and D. Bougeard, VCH, 1995.
• E&D: “Density Functional Theory”, E. Engel and R. M. Dreizler, Springer, 2011.