Monograph · Springer, 2021
Scattering Theory for Transport Phenomena
The scattering theory of transport phenomena, from the Lax–Phillips formalism to computerized tomography and the Wigner equation — gathered into one volume for the first time.
About the book
Scattering theory for transport phenomena was initiated by P. Lax and R. Phillips in 1967. Since then the field has advanced for more than half a century, and this book gathers part of that progress into a single volume.
The first chapter covers preliminaries: the theory of semigroups and C*-algebras, the different classes of semigroups, Schatten–von Neumann classes of operators, and facts about the ultraweak operator topology, with examples drawn from wavelet theory.
Chapter 6 is the heart of the book: it shows how the scattering operator for the transport problem, through the albedo operator, recovers the functionality of computerized tomography in medical imaging.
Publication details
- Series
- Mathematical Physics Studies
- Publisher
- Springer, Singapore
- Published
- 28 June 2021
- Pages
- xiii + 169
- ISBN
- 978-981-16-2372-1 (print)
978-981-16-2373-8 (online) - DOI
- 10.1007/978-981-16-2373-8
Seven chapters