Question

14. The eigen function for momentum operator is eiky. What is eigen value?
a) ħk
b) – hk
c) ħk?
d) ħ/k
go​

Answer 1

Answer:

Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots

Answer 2

Answer:

ℏk

Explanation:

(Momentum operator)*Ψ(y) = (eigen value)*Ψ(y)

Momentum operator = - i ℏ d/dk

so,

(Momentum operator)*Ψ(y) = - i ℏ d/dk Ψ(y)

                                             =  - i ℏ d/dk e^iky

                                             =  - i ℏ e^iky (ik)

                                              =  - i^2 ℏ k Ψ(y)

                                              =   ℏ k