Hilbert Spaces: Definition and Properties

Related lectures (30)

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Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.

Explores Hilbert space, scalar product, geometry, bases, complex functions, and quantum mechanics applications.

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

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

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Introduces Lp spaces, covering norms, inequalities, and integrability of functions.

Covers linear algebra in Dirac notation, emphasizing the scalar product and density product in quantum computations.

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.