Matrices and Operators
David McMahon · 2007
This chapter contains sections titled: Observables The Pauli Operators Outer Products The Closure Relation Representations of Operators Using Matrices Outer Products and Matrix Representations Matrix Representation of Operators in Two-Dimensional Spaces Hermitian, Unitary, and Normal Operators Eigenvalues and Eigenvectors Spectral Decomposition The Trace of an Operator The Expectation Value of an Operator Functions of Operators Unitary Transforms Projection Operators Positive Operators Commutator Algebra The Heisenberg Uncertainty Principle Polar Decomposition and Singular Values The Postulates of Quantum Mechanics Exercises