Consider a 1D anti-symmetric plane wave: (x,t) = A sin(kx - wt), where A, k, w...

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Consider a 1D anti-symmetric plane wave: (x,t) = A sin(kx - wt), where A, k, w are constants. a) Rewrite (x, t) in exponential form. (Hint: combine Euler's formula with the complex conjugate of Euler's formula) b) Check whether (x, t) can satisfy 1D Schrodinger Equation in free space (i; with a specific set of k and w. a h 82 4 at 2m 8x2 4) Consider a 1D anti-symmetric plane wave: (x,t) = A sin(kx - wt), where A, k, w are constants. a) Rewrite (x, t) in exponential form. (Hint: combine Euler's formula with the complex conjugate of Euler's formula) b) Check whether (x, t) can satisfy 1D Schrodinger Equation in free space (i; with a specific set of k and w. a h 82 4 at 2m 8x2 4)