Hilbert Space: Eigen Functions

Related lectures (30)

Page 1 of 3

Introduces Hilbert space as a big place where quantum systems evolve with unitaries.

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

Covers the quantization of topological operators and Ising models on square lattices.

Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.

Explores optimal transport and gradient flows in Rd, emphasizing convergence and the role of Lipschitz and Picard-Lindelöf theorems.

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Explores Sobolev spaces in higher dimensions, discussing derivatives, properties, and challenges with continuity.

Explores thought experiments with polarisation qubits of photons and the concept of superposition in Hilbert space.

Covers the applications of Segal's Conformal Field Theory in Hilbert spaces.