Hilbert Space Operators in Quantum Physics

• Main Authors: Blank, Jiří (Author), Exner, Pavel (Author), Havlíček, Miloslav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2008.
• Series: Theoretical and Mathematical Physics,
• Subjects: Physics.; Functional analysis.; Operator theory.; Quantum physics.; Elementary particles (Physics).; Quantum field theory.; Elementary Particles, Quantum Field Theory.; Quantum Physics.; Theoretical, Mathematical and Computational Physics.; Functional Analysis.; Operator Theory.

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...

Table of Contents:

• Some notions from functional analysis
• Hilbert spaces
• Bounded operators
• Unbounded operators
• Spectral theory
• Operator sets and algebras
• States and observables
• Position and momentum
• Time evolution
• Symmetries of quantum systems
• Composite systems
• The second quantization
• Axiomatization of quantum theory
• Composite systems
• Scattering theory
• Quantum waveguides
• Quantum graphs.