Hilbert Space Operators in Quantum Physics

  • Jiří Blank
  • Pavel Exner
  • Miloslav Havlíček

Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Pages 41-62
  3. Pages 63-92
  4. Pages 93-150
  5. Pages 151-204
  6. Pages 251-292
  7. Pages 293-316
  8. Pages 317-356
  9. Pages 379-402
  10. Pages 403-424
  11. Pages 443-490
  12. Pages 491-526
  13. Pages 527-560
  14. Pages 561-593
  15. Back Matter
    Pages 617-664

About this book


The second edition of this course-tested book provides a detailed and in-depth discussion of the foundations of quantum theory as well as its applications to various systems. The exposition is self-contained; in the first part the reader finds the mathematical background in chapters about functional analysis, operators on Hilbert spaces and their spectral theory, as well as operator sets and algebras. This material is used in the second part to a systematic explanation of the foundations, in particular, states and observables, properties of canonical variables, time evolution, symmetries and various axiomatic approaches. In the third part, specific physical systems and situations are discussed. Two chapters analyze Schrödinger operators and scattering, two others added in the second edition are devoted to new important topics, quantum waveguides and quantum graphs.

Some praise for the previous edition:

"I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone...." John R. Taylor, Professor of Physics and Presidential Teaching Scholar, University of Colorado at Boulder


Hilbert space Hilbert-space operators Quantum graphs Quantum physics Quantum waveguides Second quantization Self-adjoint operators Spectral theory functional analysis

Authors and affiliations

  • Jiří Blank
    • 1
  • Pavel Exner
    • 2
  • Miloslav Havlíček
    • 3
  1. 1.Charles UniversityPragueCzechia
  2. 2.Doppler Institute and Nuclear Physics InstituteCzech Academy of SciencesPragueCzech Republic
  3. 3.Doppler Institute and Faculty of Nuclear Sciences and Physical EngineeringCzech Technical UniversityPragueCzech Republic

Bibliographic information