Intermediate Spectral Theory and Quantum Dynamics [electronic resource] /
de Oliveira, César R.author.
The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. This textbook offers a comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. It is intended for graduate students and researchers interested in mathematical physics.
Description based upon print version of record.
The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. This textbook offers a comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. It is intended for graduate students and researchers interested in mathematical physics.
Includes bibliographical references (p. [395]-404) and index.
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.
Quantum physics.
Physics.
Quantum Physics.
Mathematical Methods in Physics.
Physics, general.