The Spectrum: Operators and Observables in Quantum Physics

Related lectures (31)

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Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

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

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

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

Explains the postulates of quantum mechanics and the representation of observables by operators.

Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.

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

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers the postulates of quantum mechanics, measurement, collapse of the wave function, qubits, and quantum computing processes.