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The time-independent Schrdinger equation for a free particle in one dimension, 2m2dx2d2(x)=E(x) is a second-order differential equation with constant coefficients. For this equation, (b) Find
The time-independent Schrdinger equation for a free particle in one dimension, 2m2dx2d2(x)=E(x) is a second-order differential equation with constant coefficients. For this equation, (b) Find the spatial period of the solution from (a), i.e., the particle's wavelength . =21=2mE2=2mE The time-independent Schrdinger equation for a free particle in one dimension, 2m2dx2d2(x)=E(x), is a second-order differential equation with constant coefficients. For this equation, (c) Express the wavelength of the particle from (b) in terms of linear momentum p rather than energy E, given that for a free particle E=p2/2m. Compare the result to the de Broglie relations. =p=p2=4p
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