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Question

Electromagnetic Theory Question on Wave equation

The wavefunction for a particle is given by the form ei(ax+β)e^{-i(ax+\beta)}, where aa and β\beta are real constants. In which one of the following potentials V(x)V(x) does the particle move?

A

V(x)α2x2V(x) \propto \alpha^2 x^2

B

V(x)eαxV(x) \propto e^{-\alpha x}

C

V(x)=0V(x) = 0

D

V(x)sin(ax)V(x) \propto \sin(ax).

Answer

V(x)=0V(x) = 0

Explanation

Solution

The correct option is (C) :V(x)=0V(x) = 0