Question

2. - Use the Euler Formula derived to evaluate the real and imaginary parts of the complex wave function ψ(x) = 2e^(ikx) for these 5 values of x: x = λ/2, λ/3, λ/4, 3λ + λ/5, 13λ/6 . You’ll have to recall the standard relation between wave vector and wavelength and evaluate some trig functions.

Answer #1

1, Show that the real and imaginary parts
(separately) of the time-dependent ground state
wave function psi(x,t) for a particle confined to an impenetrable
box can be written as a linear combination of two traveling
waves.
2, Show the decomposition in (1) is consistent with the
classical behavior of a particle in an impenetrable box.

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