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How energy bands are formed? Key quantum concepts simplified

Starting with a simple one-dimensional quantum well, we explore the interaction of wavefunctions, energy splitting, and the formation of energy bands in a periodic lattice. Through detailed explanations and visualizations, you'll learn about key concepts like the Bloch theorem, density of states, and the tight binding model. This video also includes a demonstration of matrix diagonalization for Hamiltonians and the significance of the overlap matrix in non-orthonormal bases. Chapters: Modeling Quantum Wells Energy Bands and Dispersion Density of States Wavefunctions and Bloch's Theorem Incorporating the Overlap Matrix For MATLAB scripts, additional topics, or questions, drop us a comment below! Technical Content: Tony Low, Johnathas Forte Video Production: Joshua Low, Katie Low, Tony Low