[Obama08]

بسم الله الرحمن الرحيم

حل السؤال الاول

a)PY(x)=(hbar/i)*d/dx {Ncoskx}.
= i*hbar*k*Nconkx
:: Y(x) is not eigen function for operator P

b) (-hbar/2m)*d2/dx2 {Y(x)}=(-hbar/2m)*d2/dx2 { Ncoskx }.
= (-i*hbar^2*k^2/2m)*Ncoskx
=(-i*hbar^2*k^2/2m)*{Y(x)}.
:: Y(x) is an eigen function for operator (-hbar/2m)*d2/dx2

c) do same procedure for Y(x)= ce^ikx
P{Y(x)}= hbar*k*Y(x)
::Y(x) is an eigen function for operator P

(-hbar/2m)*d2/dx2 {Y(x)}=(-i*hbar^2*k^2/2m)*Y(x)
:: Y(x) is an eigen function for operator (-hbar/2m)*d2/dx2


:smile_71: