Abstract Variational Problems

Related lectures (31)

Page 3 of 4

Explores the algebraic properties of the scalar product and their geometric implications.

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

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

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.

Covers the definition and properties of Hilbert spaces, including the Cauchy-Schwarz inequality and norm definition.

Explores symmetrical bilinear forms, the Pythagorean theorem, inequalities, and orthogonal matrices.

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

Covers bilinear forms in vector spaces, their properties, orthogonality, and equivalence conditions.

Introduces function spaces and Hilbert spaces, discussing inner product spaces and the importance of completeness in Hilbert spaces.

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