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4 Schr¨odinger Equation and Classical Wave Equation Show that the wave function Ψ(x, t) = Ae^(i(kx−ωt))...

4 Schr¨odinger Equation and Classical Wave Equation

Show that the wave function Ψ(x, t) = Ae^(i(kx−ωt)) satisfies both the time-dependent Schr¨odinger equation and the classical wave equation. One of these cases corresponds to massive particles, such as an electron, and one corresponds to massless particles, such as a photon. Which is which? How do you know?

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