This graduate-level text develops aspects of group theory most relevant to physics and chemistry and illustrates their applications to quantum mechanics: abstract group theory, theory of group representations, physical applications of group theory, full rotation group and angular momentum, quantum mechanics of atoms, molecular quantum mechanics, and solid-state theory. 1964 edition.
Here's a sample of other books in this Dover category
Lectures on Quantum Mechanics by Paul A. M. Dirac Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize-winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.
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.
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.
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.
An Atlas of Fullerenes by P. W. Fowler, D. E. Manolopoulos Students and researchers will appreciate this guide, which features a comprehensive set of pictures of fullerene structures and tabulates their properties. Seven chapters offer a self-contained introduction. 1995 edition.