This text introduces research students in physics and chemistry to the three main uses of group theory in quantum mechanics. It requires a previous course in quantum theory, but matrix algebra appears in an appendix. A series of examples of varying levels of difficulty follows each chapter. 1960 edition. Reprint of the Dover 1993 edition.
Here's a sample of other books in this Dover category
Quantum Mechanics by Albert Messiah Subjects include formalism and its interpretation, analysis of simple systems, symmetries and invariance, methods of approximation, elements of relativistic quantum mechanics, much more. "Strongly recommended." — American Journal of Physics.
Primer of Quantum Mechanics by Marvin Chester Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 edition.
Group Theory: The Application to Quantum Mechanics by Paul H. E. Meijer, Edmond Bauer Upper-level undergraduate and graduate students receive an introduction to problem-solving by means of eigenfunction transformation properties with this text, which focuses on eigenvalue problems in which differential equations or boundaries are unaffected by certain rotations or translations. 1965 edition.
Applications of Group Theory in Quantum Mechanics by M. I. Petrashen, J. L. Trifonov This advanced text explores the theory of groups and their matrix representations. The main focus rests upon point and space groups, with applications to electronic and vibrational states. 1969 edition.
Quantum Mechanics of One- and Two-Electron Atoms by Hans A. Bethe, Edwin E. Salpeter This classic of modern physics includes a vast array of approximation methods, mathematical tricks, and physical pictures useful in the application of quantum mechanics to other fields. 1977 edition.
