Spectral Decomposition of Bounded Self-Adjoint Operators

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Explores eigenvalue problems, eigenbasis, spectral theorem, and properties of normal operators.

Covers the spectral theorem, orthanormal sequences, and bounded linear operators in Hilbert spaces.

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

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

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

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Explores the matrix representation of operators and basis transformation in linear algebra.