EAN: 9789462391147

LECTURES ON THE MATHEMATICS OF QUANTUM MECHANIC...

The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical
structure and mathematical rigor  while being adapted to the teaching the first semester of an
advanced course in Quantum Mechanics (the content of the book are the lectures of courses
actually delivered.). It differs also from the very few texts in Quantum Mechanics that give
emphasis to the mathematical aspects because this book  being written as Lecture Notes  has the
structure of lectures delivered in a course  namely introduction of the problem  outline of the
relevant points  mathematical tools needed  theorems  proofs. This makes this book particularly
useful for self-study and for instructors in the preparation of a second course in Quantum
Mechanics (after a first basic course). With some minor additions it can be used also as a
basis of a first course in Quantum Mechanics for students in mathematics curricula. The second
part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic
notions necessary to do research in several areas of mathematical physics connected with
quantum mechanics  from solid state to singular interactions  many body theory  semi-classical
analysis  quantum statistical mechanics. The structure of this book is suitable for a
second-semester course  in which the lectures are meant to provide  in addition to theorems and
proofs  an overview of a more specific subject and hints to the direction of research. In this
respect and for the width of subjects this second volume differs from other monographs on
Quantum Mechanics. The second volume can be useful for students who want to have a basic
preparation for doing research and for instructors who may want to use it as a basis for the
presentation of selected topics.

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