Theoretical Concepts of Quantum Mechanics

Comprehensive treatment of quantum theory from classical concepts to operator algebras. Covers measurement theory, Born rule, and mathematical foundations. Open access (Springer, CC-BY 4.0).

Klaas Landsman

Connects quantum mechanics with group theory and representation theory. Covers Lie groups, SU(2), angular momentum, and the Standard Model. Columbia University. Revised 2024 edition.

Peter Woit

Rigorous mathematical approach to quantum mechanics covering Lagrangian and Hamiltonian mechanics, quantization, Weyl relations, Schrodinger equation, hydrogen atom, and path integrals. Written for mathematics students at Stony Brook University.

Leon A. Takhtajan

Encyclopedic graduate-level text covering QM fundamentals, atomic structure, light properties, atom-light interactions, cavity QED, and matter wave optics. University of Sao Paulo.

Ph. W. Courteille