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Explore five powerful methods for solving differential equations in physics: ansatz, energy conservation, series expansion, Laplace transform, and Hamiltonian flow, with practical applications to harmonic oscillators.
Explore Feynman's path integral formulation of quantum mechanics, understanding how classical mechanics emerges from quantum principles and the significance of the path of stationary action.
Explore the concept of wavefunctions in quantum mechanics through the double-slit experiment, revealing the counterintuitive nature of particles at the smallest scales.
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