Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson , Israel Michael Sigal
English | PDF(True) | 2003 | 255 Pages | ISBN : 3540441603 | 16.47 MB
The first fifteen chapters of these lectures (omitting four to six chapters each year) cover a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced anal ysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry.