Quantum Theory

A Mathematical Approach

  • Peter Bongaarts

Table of contents

  1. Front Matter
    Pages i-xxxii
  2. The Main Text

    1. Front Matter
      Pages 1-1
    2. Peter Bongaarts
      Pages 3-8
    3. Peter Bongaarts
      Pages 9-20
    4. Peter Bongaarts
      Pages 21-52
    5. Peter Bongaarts
      Pages 53-64
    6. Peter Bongaarts
      Pages 65-71
    7. Peter Bongaarts
      Pages 73-87
    8. Peter Bongaarts
      Pages 89-103
    9. Peter Bongaarts
      Pages 105-113
    10. Peter Bongaarts
      Pages 115-138
    11. Peter Bongaarts
      Pages 139-155
    12. Peter Bongaarts
      Pages 157-169
    13. Peter Bongaarts
      Pages 171-186
    14. Peter Bongaarts
      Pages 187-216
    15. Peter Bongaarts
      Pages 217-233
    16. Peter Bongaarts
      Pages 235-246
    17. Peter Bongaarts
      Pages 265-276
  3. Supplementary Material

    1. Front Matter
      Pages 277-277

About this book


This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features. It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field.


Coherent States Group Representation Theory Harmonic Oscillator Heisenberg Uncertainty Relation Klein-Gordon Equation Many-particle Systems Quantum Field Theory Quantum Statistical Physics Relativistic Quantum Theory Second Quantization

Authors and affiliations

  • Peter Bongaarts
    • 1
  1. 1.Instituut LorentzUniversity of LeidenLeidenThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-09561-5
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-09560-8
  • Online ISBN 978-3-319-09561-5
  • About this book