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Crash Course on Quantum Mechanics
Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.
Quantum Mechanics: Self-adjoint Operators and Quantum Information
Offers a crash course on quantum mechanics, emphasizing self-adjoint operators and quantum information.
Importance of commuting observables in Quantum Mechanics
Explores the importance of compatible observables in Quantum Mechanics, leading to identical final states and the concept of a Complete Set of Commuting Observables.
Functional Calculus: Operator Definition and Properties
Explores the definition and properties of the functional calculus for self-adjoint and bounded operators.
Measurement: Quantum State and Observables
Discusses measurement in Quantum Mechanics, focusing on state vectors, observables, eigenvalues, and probabilities.
Spectral Decomposition of Unbounded Operators
Explores the spectral decomposition of non-bounded operators and presents the spectral theorem for self-adjoint non-bounded operators.
Distributional Derivatives
Explores distributional derivatives, continuity, boundedness of linear operators, and weak-* continuity.
Quantum Mechanics: Crash Course on Quantum Bit Systems
Offers a crash course on quantum bit systems and measurement processes.
Unitary Minimal Models: Representation Theory Insights
Covers the representation theory of unitary minimal models and the Virasoro algebra.
Compositions and adjoints of unbounded operators
Covers the fundamental concepts of unbounded operators and their adjoints, exploring auto-adjoint and normal operators.
Nonlinear Model Predictive Control: Stability and Design Steps
Explores Nonlinear Model Predictive Control principles, stability analysis, design steps, and practical considerations.
Automorphic Kernels: Heat Equation Solutions
Explores automorphic kernels and their role in solving the heat equation.
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