If V (x) is an even function (that is, V(-x) = V (x)) then (x) can...

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If V (x) is an even function (that is, V(-x) = V (x)) then (x) can always be taken to be either even or odd. Hint: If y (x) satisfies Equation 2.5, for a given E, so too does (-x), and hence also the even and odd linear combinations y (x) ± ¼(-x). %3D + Vụ = Eự. [2.5] -- %3| 2m dx2 If V (x) is an even function (that is, V(-x) = V (x)) then (x) can always be taken to be either even or odd. Hint: If y (x) satisfies Equation 2.5, for a given E, so too does (-x), and hence also the even and odd linear combinations y (x) ± ¼(-x). %3D + Vụ = Eự. [2.5] -- %3| 2m dx2