Atomic–Molecular Physics: A Deep‑Dive Review Inspired by the “Atomic‑Molecular Physics” Text of Rajkumar (PDF)

• Linear algebra (operators, eigenvalues/eigenvectors)
• Differential equations (ODEs, separation of variables)
• Complex analysis basics (for integrals)
• Vector calculus (grad, div, curl)
• Basic classical mechanics and electromagnetism
• Introductory quantum mechanics: Schrödinger equation, angular momentum algebra

non‑adiabatic couplings

Rajkumar’s text places the BO approximation at the heart of the discussion, while later chapters explore its breakdown—e.g. , conical intersections , and geometric phase effects , which are now central topics in photochemistry and ultrafast dynamics.

Molecular Physics

: Chapters dedicated to pure rotational, vibrational-rotational, and Raman spectra , as well as electronic spectra governed by the Franck-Condon principle.