Question

Complete the following questions in the space below. 1. Which of the following functions are eigenfunctions of the operator $d/dx$? For those that are eigenfunctions, also indicate the eigenvalues. a) $e^{ikx}$ b) $cos(kx)$ c) $k$ d) $kx$ e) $e^{-ikx}$

          Complete the following questions in the space below.
1. Which of the following functions are eigenfunctions of the operator $d/dx$? For those that are
eigenfunctions, also indicate the eigenvalues.
a) $e^{ikx}$
b) $cos(kx)$
c) $k$
d) $kx$
e) $e^{-ikx}$

Complete the following questions in the space below.
1. Which of the following functions are eigenfunctions of the operator d/dx? For those that are
eigenfunctions, also indicate the eigenvalues.
a) e^ikx
b) cos(kx)
c) k
d) kx
e) e^-ikx

Added by Mary G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supreeta N

Step 1

a) e^tkx: Let's apply the operator d/dx to e^tkx: (d/dx)(e^tkx) = tke^tkx Since tke^tkx is a scalar multiple of e^tkx, we can say that e^tkx is an eigenfunction of d/dx. The eigenvalue is t. b) cos(kx): Let's apply the operator d/dx to cos(kx): (d/dx)(cos(kx)) Show more…

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Complete the following questions in the space below: 1. Which of the following functions are eigenfunctions of the operator d/dx? For those that are eigenfunctions, also indicate the eigenvalues. a) e^tkx b) cos(kx)