Advertisement

Stochastic Processes in Quantum Physics

  • Masao Nagasawa

Part of the Monographs in Mathematics book series (MMA, volume 94)

Table of contents

  1. Front Matter
    Pages N3-VII
  2. Masao Nagasawa
    Pages 1-26
  3. Masao Nagasawa
    Pages 27-52
  4. Masao Nagasawa
    Pages 53-104
  5. Masao Nagasawa
    Pages 105-137
  6. Masao Nagasawa
    Pages 139-184
  7. Masao Nagasawa
    Pages 185-229
  8. Masao Nagasawa
    Pages 231-262
  9. Masao Nagasawa
    Pages 389-435
  10. Masao Nagasawa
    Pages 437-460
  11. Masao Nagasawa
    Pages 461-500
  12. Masao Nagasawa
    Pages 501-519
  13. Masao Nagasawa
    Pages 521-571
  14. Back Matter
    Pages 573-598

About this book

Introduction

"Stochastic Processes in Quantum Physics" addresses the question 'What is the mathematics needed for describing the movement of quantum particles', and shows that it is the theory of stochastic (in particular Markov) processes and that a relativistic quantum particle has pure-jump sample paths while sample paths of a non-relativistic quantum particle are continuous. Together with known techniques, some new stochastic methods are applied in solving the equation of motion and the equation of dynamics of relativistic quantum particles. The problem of the origin of universes is discussed as an application of the theory. The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level, and some selected chapters can be used as (sub-)textbooks for advanced courses on stochastic processes, quantum theory and theoretical chemistry.

Keywords

Brownian motion EFE Lévy process Markov property Poisson process Random Walk Stochastic processes diffusion process local martingale particles point process quantum physics random measure relativity theory stochastic process

Authors and affiliations

  • Masao Nagasawa
    • 1
  1. 1.Institute of MathematicsUniversity of ZürichZürichSwitzerland

Bibliographic information