Mechanical Effects of Light

Related lectures (31)

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Explores the spectral decomposition of Hilbert space and its implications in quantum dynamics.

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

Explores manipulating quantum matter with light, covering cold atoms, quantum simulation, and control over interactions.

Introduces the need for a mathematical framework to describe linear operators on infinite-dimensional Hilbert spaces in quantum mechanics.

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

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Explores quantum bits, axioms, examples, Shor algorithm, measurements, Hilbert space, and dynamics.