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Chapter 5: Q33E (page 188)

Verify that Asin(kx) + Bcos(kx)is a solution of equation (5 - 12).

Short Answer

Expert verified

The wave function equation satisfies the Schrodinger Equation.

Step by step solution

01

Wave function equation and Schrodinger Equation.

Schrodinger Equation,

d2蠄dx2= -k2蠄(x),k =2mEh2...................1

Wave function equation,

蠄== A sin(kx)+B cos(kx)........1

02

Substituting (2) in to (1).

Substitute the values

d2蠄(x)dx2= -k2A sin(kx) -k2B cos(kx)d蠄(x)dx= k A cos(kx) - k B sin(kx)d2蠄(x)dx2= -k2A sin(kx) -k2=k2蠄xSo, thatwave function equation satisfies the Schrodinger Equation.

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