Lectures on the Mathematics of Quantum Mechanics I

  • Gianfausto Dell'Antonio

Part of the Atlantis Studies in Mathematical Physics: Theory and Applications book series (ASMPTA, volume 1)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Gianfausto Dell’Antonio
    Pages 1-15
  3. Gianfausto Dell’Antonio
    Pages 17-37
  4. Gianfausto Dell’Antonio
    Pages 103-124
  5. Gianfausto Dell’Antonio
    Pages 125-149
  6. Gianfausto Dell’Antonio
    Pages 383-408
  7. Back Matter
    Pages 455-459

About this book


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.


General theory of quantum mechanics Lecture notes Mathematics of quantum mechanics Quantum mechanics Quantum physics

Authors and affiliations

  • Gianfausto Dell'Antonio
    • 1
  1. 1.Mathematics AreaDept. of Mathematics, Universita' Sapienza, Rome, Italy, and SISSATriesteItaly

Bibliographic information

  • DOI
  • Copyright Information Atlantis Press and the author(s) 2015
  • Publisher Name Atlantis Press, Paris
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-94-6239-117-8
  • Online ISBN 978-94-6239-118-5
  • Series Print ISSN 2211-8055
  • Series Online ISSN 2211-8063
  • Buy this book on publisher's site
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