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Explain mathematically how the total energy varies with 1a

Suppose cos(ax) solves the Schrödinger Equation for a particle in one dimension.

a) From cos(ax) determine mathematically the kinetic energy as a function of position.

b) Explain mathematically how the total energy varies with 1/a, the wavelength of the function.

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Physics: Explain mathematically how the total energy varies with 1a

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