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Related lectures (31)
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Essential Operators: Spectrum and Resolvent Set
Covers the essential concepts of adjoint operators, spectrum, and resolvent sets in operator theory.
Linear Operators: Boundedness and Convergence
Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Functional Analysis I: Spectral Theorem
Covers the spectral theorem, orthanormal sequences, and bounded linear operators in Hilbert spaces.
Postulates of Quantum Mechanics
Explores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.
Linear Operators: Boundedness and Spaces
Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.
Extension of Linear Transformations
Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.
Quantum Mechanics: Postulates and Observables
Explains the postulates of quantum mechanics and the representation of observables by operators.
Dual Spaces: Definitions and Properties
Covers the definitions and properties of dual spaces and linear operators.
Density Operators in Quantum Physics II
Explores density operators in quantum physics, emphasizing their role in describing quantum system states.