Quantum Physics I

This lecture introduces the transmission operator T, which depends on a translation quantity delta-R. The operator has an exponential form, similar to transformations in space and time. Commutation relations between operators X, R, and P are derived. The principle of correspondence is explained, showing the formal substitution from classical to quantum mechanics. The lecture also covers the position representation, overlap calculation, matrix elements, and momentum eigenstates. The lecture concludes with the importance of momentum eigenstates, the Fourier transform between position and momentum bases, and the unitary transformation properties.