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Quantum Physics I

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Quantum Mechanics Basics Log in to Mediaspace to watch this video

Covers the basics of quantum mechanics, focusing on Hamiltonian operator and Schrödinger equations.

Quantum Mechanics: Eigenfunctions and Operators Log in to Mediaspace to watch this video

Explores eigenfunctions, operators, and their role in quantum mechanics.

Quantum Chemistry: 30 September Log in to Mediaspace to watch this video

Covers topics related to quantum chemistry, including eigenvalues, eigenfunctions, operators, and orthonormal sets.

Quantum Mechanics: Commutators and Ehrenfest Theorem Log in to Mediaspace to watch this video

Covers the formalism of quantum mechanics, focusing on commutators, the Ehrenfest theorem, and their implications for measurements and uncertainties.

Quantum Mechanics Basics: Atomic Units and Operators Log in to Mediaspace to watch this video

Introduces atomic units, operators, and the postulates of quantum mechanics.

Quantum Eigenfunctions Log in to Mediaspace to watch this video

Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.

Quantum Mechanics: Electron Propagation and Measurement Log in to Mediaspace to watch this video

Covers electron propagation, quantum operators, and the measurement process in quantum mechanics.

Untitled Log in to Mediaspace to watch this video

Quantum Mechanics: Linear Algebra and Wave Mechanics Log in to Mediaspace to watch this video

Explores the link between linear algebra and wave mechanics, focusing on operators, self-adjoint nature, Brillouin Zone, and a probabilistic approach to diffusion.

Quantum Bound States Log in to Mediaspace to watch this video

Explores quantum bound states, wave functions, energy levels, and potential energy in quantum systems.

Self-Adjoint Operators Log in to Mediaspace to watch this video

Covers the criteria for operators to be self-adjoint and the Friedrichs extension theorem.

Fourier Transform: Properties and Convolution Log in to Mediaspace to watch this video

Covers the properties and convolution of the Fourier transform.

Eigenstate Thermalization Hypothesis Log in to Mediaspace to watch this video

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.

Functional Analysis I: Norms and Bounded Operators Log in to Mediaspace to watch this video

Explores norms and bounded operators in functional analysis, demonstrating their properties and applications.

Untitled Log in to Mediaspace to watch this video

Optimal Transport: Rockafellar Theorem Log in to Mediaspace to watch this video

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Principles of Quantum Physics Log in to Mediaspace to watch this video

Explores the fundamental principles of quantum physics, including quantum states, unitary transformations, Hilbert spaces, and measurement processes.

Convolution and Fourier Transform Log in to Mediaspace to watch this video

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Analysis IV: Convergence Theorems and Integrable Functions Log in to Mediaspace to watch this video

Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.

Linear Applications: Change of Basis Log in to Mediaspace to watch this video

Explores changing the base of linear applications and calculating vector images in different bases, emphasizing the use of canonical basis.

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