A wave-function representing a monochromatic plane wave moving in the positive (w=2pifx) direction is described as (f,t) = Aexp{i(kx-wt)} where the wave number is given as k=2pi/wavelength and the angular frequency is guven by w=2pif. Using the de-Broglie relation wavelength=h/p, the photon energy E=hf and the constant h=h/2pi, show that the momentum operator can be written as p=-ihd/dx

A wave-function representing a monochromatic plane wave moving in the positive (w=2pifx) direction is described as (f,t) = Aexp{i(kx-wt)} where the wave number is given as k=2pi/wavelength and the angular frequency is guven by w=2pif. Using the de-Broglie relation wavelength=h/p, the photon energy E=hf and the constant h=h/2pi, show that the momentum operator can be written as p=-ihd/dx

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