Sturm-Liouville Problem: Homogeneous Boundary Conditions Essential Role

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Discusses measurement in Quantum Mechanics, focusing on state vectors, observables, eigenvalues, and probabilities.

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Explores the spectral theorem for operators in a Hilbert space.

Explores spectral and singular value decompositions of matrices.

Covers the Herglotz representation theorem and the construction of projection-valued measure.

Explores spectral decomposition, essential self-adjointness, and symmetric operators in Hilbert spaces.

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

Explores the spectral decomposition of self-adjoint operators on Hilbert spaces.

Explores the adjoint of linear operators on inner product spaces, including self-adjoint, unitary, and normal operators.