Self-Adjoint Operators

Related lectures (30)

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Covers the essential concepts of adjoint operators, spectrum, and resolvent sets in operator theory.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores the theory of bounded operators on Hilbert space, including adjoint properties and self-adjointness.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

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

Explores spectral basis, Schrödinger equation, unitary equivalence, and self-adjoint operators.

Explores Hermitian operators, auto-adjoint properties, and spectral theorems in Hermitian spaces.

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Covers the proof of unitary group uniqueness and spectral types.

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