The Mathematical Principles of Quantum Mechanics

Most texts on quantum mechanics are primarily designed for physicists; this one, taking a somewhat different approach, is geared toward upper-level undergraduates and graduate students in applied mathematics. The author develops the subject in a systematic and logical manner from a minimal set of axioms. Special physical problems, with suggestions for solutions, are contained in the sets of exercises, of which there are more than a hundred. The theory is first developed for observables, such as the spin, and later extended to observables having continuous spectra; by this means, the theory’s chief features are exhibited in the simplest possible mathematical context.