Stone-von Neumann Theorem

Related lectures (30)

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

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

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.

Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

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

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

Covers the duality principle in linear algebra and its implications in mathematics.

Covers Simon's quantum algorithm, unitary operations, and the Simon problem.