Explore the quantum mechanics concept of a particle in a 2D box in this 31-minute video lecture. Delve into the time-independent Schrödinger equation, eigenfunction solutions, normalization, and energy eigenvalues. Visualize solutions and probabilities as you learn about quantized energy levels, degeneracy, and wavefunctions. Gain insights into applications in nanoscale structures, quantum wells, and quantum dots. Follow along with the step-by-step explanation of this foundational problem, which demonstrates how quantum systems behave when confined to a specific region with infinite potential walls.