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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 the concept of wavefunctions in quantum mechanics through the double-slit experiment, revealing the counterintuitive nature of particles at the smallest scales.
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.
Delve into Feynman's path integral approach to quantum mechanics, learning how to mathematically construct and evaluate this complex concept for a free quantum particle while uncovering connections to the uncertainty principle.
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