Concept

Rigged Hilbert space

Related lectures (31)

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

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

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

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

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

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

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

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

Covers abstract variational problems in Hilbert spaces, focusing on boundedness, continuity, and coercivity.

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

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

Covers z Variable as a Delay Operator, realizable systems, probability theory, stochastic processes, and Hilbert Spaces.

Covers the formulation and interpretation of mechanical effects of light.

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Covers the Cincent Model of Deutsch for Quantum Computation, focusing on input representation, Hilbert space, and unitary evolution.

Covers the concept of scattering theory and its application to non-relativistic collisions and collider experiments.

Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.

Covers advanced topics in Quantum Field Theory, including representations of the Poincare group and the construction of unitary irreps.

Explores signal processing fundamentals, including discrete time signals, spectral factorization, and stochastic processes.