Informative review considers the development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include the computation and application of matrix elements of scalar, vector, and tensor operators for deriving useful relations in the theory of magnetic moments, electric quadruple moments, and dipole transition probabilities.
The Theory of Groups and Quantum Mechanics by Hermann Weyl This landmark text applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, symmetric permutation groups, more.
Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise by Manfred Schroeder A fascinating exploration of the connections between chaos theory, physics, biology, and mathematics, this book abounds in award-winning computer graphics, optical illusions, and games that clarify memorable insights into self-similarity. 1992 edition.
Sources of Quantum Mechanics by B. L. van der Waerden 17 seminal papers, published from 1917 to 1926, develop and formulate quantum theory. Contributors include Einstein, Bohr, Born, Van Vleck, Heisenberg, Dirac, Pauli, and Jordan. An introduction provides historical perspective.
Quantum Theory of Many-Particle Systems by Alexander L. Fetter, John Dirk Walecka Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.
