Guia docente 2023_24 Escuela de Ingeniería de Telecomunicación

Contents

Topic	Sub-topic
Historical perspective.	Basic experiments.
Complex Hilbert spaces.	Mathematical tools. Elements of linear algebra. Dirac notation.
Operators, eigenvalues and eigenvectors.	Linear operators and matrix notation. External product. Identity operator. Hermitian, unitary and normal operators. Trace of an operator. Commutators. Spectral decomposition. Pauli matrices.
Postulates of quantum mechanics.	Postulates. Measurement. Expected values. Heisenberg uncertainty. Two level systems. Spin states.
Temporal evolution	Hamiltonian operator. Stationary states. Evolution operators.
Density matrix	Pure states and mixed states. Expectation values
Wave mechanics.	Schrodinger equation.