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Extensions of symmetric operators
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Quantum Mechanics: Self-adjoint Operators and Quantum Information
Offers a crash course on quantum mechanics, emphasizing self-adjoint operators and quantum information.
Postulates of Quantum Mechanics
Explores the postulates of Quantum Mechanics, including states, observables, composite systems, Schrödinger equation, and entangled states.
Crash Course on Quantum Mechanics
Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.
Compact Operators: Properties and Theorems
Covers properties and theorems related to compact and relatively compact operators, including the RAGE theorem and the Kato-Rellich theorem.
Linear Algebra: Vector Spaces & Operators
Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.
Quantum Mechanics: Postulates and Observables
Explains the postulates of quantum mechanics and the representation of observables by operators.
Spectral Theorem for Operators
Explores the spectral theorem for operators in a Hilbert space.
Measurement: Quantum State and Observables
Discusses measurement in Quantum Mechanics, focusing on state vectors, observables, eigenvalues, and probabilities.
Symmetric Linear Operators
Explores symmetric linear operators, eigenvalues, and eigenvectors in functional analysis.
Compositions and adjoints of unbounded operators
Covers the fundamental concepts of unbounded operators and their adjoints, exploring auto-adjoint and normal operators.