Lectures related to Hilbert Space: Eigen Functions

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

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 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.

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

Explores the addition of angular momenta in quantum mechanics and delves into Bell's Theorem.

Covers the states of composite systems in Hilbert space, including operators, observables, tensor products, eigenvalues, and partial measurements.

Explores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.

Covers the formulation and interpretation of mechanical effects of light.

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

Explains the postulates of quantum mechanics, including system description, evolution, measurement, composite systems, and examples with qubits.

Covers conformal blocks and their significance in complex structures and moduli spaces.

Explores the incompleteness of Cc(RN, K) and the challenges of Riemann integrability.

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

Covers complete and orthonormal families in a Hilbert space, discussing unique projections and vector decomposition.

Introduces the postulates of Quantum Mechanics, focusing on states in a Hilbert space and the role of observables.

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

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