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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
emphasise 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.
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