This landmark among mathematics texts 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, and the algebra of symmetric transformations.
Unabridged republication of the English (1931) edition.
The Continuum: A Critical Examination of the Foundation of Analysis by Hermann Weyl Concise classic by great mathematician and physicist deals with logic and mathematics of set and function, concept of number and the continuum. Bibliography. Originally published 1918.
Quantum Mechanics in Simple Matrix Form by Thomas F. Jordan With this text, basic quantum mechanics becomes accessible to undergraduates with no background in mathematics beyond algebra. Includes more than 100 problems and 38 figures. 1986 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.
Abstract and Concrete Categories: The Joy of Cats by Jiri Adamek, Horst Herrlich, George E Strecker This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures. Numerous examples. 1990 edition, updated 2004.
The Concept of a Riemann Surface by Hermann Weyl, Gerald R. MacLane This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 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.
Group Theory and Quantum Mechanics by Michael Tinkham Graduate-level text develops group theory relevant to physics and chemistry and illustrates their applications to quantum mechanics, with systematic treatment of quantum theory of atoms, molecules, solids. 1964 edition.
