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Related lectures (32)
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Adjoint of Linear Operators on Inner Product Spaces
Explores the adjoint of linear operators on inner product spaces, including self-adjoint, unitary, and normal operators.
Quantum Mechanics and Linear Algebra
Covers Hermitian and Unitary operators, real number equivalents, and eigenvalues.
Extension of Linear Transformations
Covers the extension of bounded linear transformations and the free propagator in L^2 spaces.
Functional Calculus and Borel Transform
Covers bounded and measurable functional calculus, Borel transform, and unbounded functions.
Linear Algebra: Quantum Mechanics
Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.
Crash Course on Quantum Mechanics
Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.
Postulates of Quantum Mechanics
Introduces the postulates of Quantum Mechanics, focusing on states in a Hilbert space and the role of observables.
Scattering Amplitude and Optical Theorem
Covers the introduction of scattering amplitude, optical theorem, and unitary operators in quantum mechanics.
Quantum Mechanics: Measurement
Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.
Herglotz Representation Theorem
Covers the Herglotz representation theorem and the construction of projection-valued measure.