Mathematical Principles of Quantum Mechanics

<p>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 and offers a practical and accessible overview of the most powerful and widely used tool of modern mathematical physics. The author develops the subject in a systematic and logical manner from a minimal set of axioms. These axioms are either suggested by experience of the physical world or necessitated by the mathematical model's requirement of internal consistency -- an approach that will appeal to both applied mathematicians and mathematical physicists.<br>The principles of the subject receive the primary focus throughout and special physical problems appear strictly for the purpose of illustrating these principles. Suggestions for the solution of a large number of such problems 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 which have only a finite number of eigenvalues. Later the theory is extended to observables having continuous spectra; by this means the theory's chief features are exhibited in the simplest possible mathematical context.</p>