Quantum Mechanics: Particle Detection

This lecture discusses the implications of particle detection on the evolution of quantum systems, exploring the differences in energy outcomes and wave function behavior when a particle is detected compared to when it is not. It delves into the concept of detection conservation, uncertainty in position, and the discretization of the Hamiltonian to determine possible particle energies. The lecture also covers the approximation of eigenstates by well-determined energy states and the use of specific modes and functions in digital physics simulations.