A wave function for a particle in a box with energy E is (x) = A cos √2mE +o Find the second derivative of (x). Express
Posted: Wed May 04, 2022 1:36 pm
A wave function for a particle in a box with energy E is (x) = A cos √2mE +o Find the second derivative of (x). Express your answer in terms of the variables A, m, x, o, E, and the constant ħ. 2√2mE 2AEmcos +ø ¥" (x) = ħ ħ² Submit Previous Answers Part I Show that this function satisfies the Schrödinger equation. Express "(x) in terms of (x). Express your answer in terms of the variables m, (x), E, and the constant ħ. &"(x) = 2Em ħ² √(x) Submit Previous Answers Part J Use the boundary condition at x = 0 to determine the value of . Suppose that - ≤ Ø≤T. Express your answer in radians. IVE ΑΣΦ ? Correct Correct ø= Submit rad Request Answer Part K Use the boundary condition at x = L to determine the value of E for n-th energy level. Express your answer in terms of the variables m, L, n, and the constant ħ. 15. ΑΣΦ 2) ? E= Submit Request Answer