Lecture

Mechanical Effects of Light

Related lectures (31)

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 energy and radiation of LEDs, transitions in energy levels, and color synthesis.

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

Explores the forces exerted by light on atoms, including dipole force and radiation pressure, and discusses applications like Doppler cooling.

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

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

Covers the mathematical principles of quantum physics, including Hilbert spaces and quantum bits.

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.