Quantum Dynamics: Spectral Decomposition

Related lectures (31)

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Covers entanglement, Bell inequalities, CSHS requirements, EPR paradox, and experimental verification in quantum mechanics.

Delves into quantum entanglement, exploring entangled particles' state, evolution, and measurement.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores the CHSH inequality, a Bell-type inequality used in quantum mechanics and quantum key distribution.

Explores quantum bits, including illustrations, postulates, and examples of quantum systems and Hilbert space.

Covers the postulates of Quantum Mechanics and examples with quantum bits, including observables and unitary matrices.

Covers the principles of quantum simulation with cold atoms, including optical dipole potentials and Feshbach resonances.

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

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

Explores quantum state spaces, comparing pure and mixed states, and discusses ensemble decompositions.