Intermediate Spectral Theory and Quantum Dynamics

• Main Author: Oliveira, César R. de (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Progress in Mathematical Physics ; 54
• Subjects: Physics.; Quantum physics.; Quantum Physics.; Mathematical Methods in Physics.; Physics, general.

Table of Contents:

• A Glance at Quantum Mechanics
• Linear Operators and Spectra
• Adjoint Operator
• Fourier Transform and Free Hamiltonian
• Operators via Sesquilinear Forms
• Unitary Evolution Groups
• Kato-Rellich Theorem
• Boundary Triples and Self-Adjointness
• Spectral Theorem
• Applications of the Spectral Theorem
• Convergence of Self-Adjoint Operators
• Spectral Decomposition I
• Spectral Decomposition II
• Spectrum and Quantum Dynamics
• Some Quantum Relations.