Goldman I.I., Krivchenkov D.V., Kogan I.V., Galitskii M.V. Problems in quantum mechanics

Infosearch Limied London, 1960. — 396 p.This challenging book features a comprehensive collection of problems of varying degrees of difficulty in nonrelativistic quantum mechanics, with answers and completely worked-out solutions to each problem. Its topics include one-dimensional motion, transmission through a potential barrier, commutation relations, angular momentum and spin, and motion of a particle in a magnetic field.
Because one of the most difficult aspects of quantum mechanics is mastery of the matrix form, the authors emphasize the construction of perturbation matrices and their diagonalization. They also focus on auxiliary problems in angular momentum and spin, which are equally essential to the serious study of quantum mechanics.