This book is based on notes from the course developed and taught for more than 30 years at the Department of Mathematics of Leningrad University. The goal of the course was to present the basics of quantum mechanics and its mathematical content to students in mathematics. This book differs from the majority of other textbooks on the subject in that much more attention is paid to general principles of quantum mechanics. In particular, the authors describe in detail the relation between classical and quantum mechanics. When selecting particular topics, the authors emphasize those that are related to interesting mathematical theories. In particular, the book contains a discussion of problems related to group representation theory and to scattering theory. This book is rather elementary and concise, and it does not require prerequisites beyond the standard undergraduate mathematical curriculum. It is aimed at giving a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

Review

"The present volume has several desirable features. It speaks to mathematicians broadly, not merely practitioners of some narrow specialty. It faithfully explains physical ideas/concerns, rather than addresses the mathematician eager only to glean from physics a purely mathematical problem to attack. This book accomplishes its task as quickly as one could hope but still achieves interesting applications...Highly recommended." ---- D.V. Feldman, Choice

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