Question

6. The Particle in a Box problem refers to a potential energy function called the infinite square well, aka the box: ; x L (Region III) Let's investigate a quantum particle with mass m and energy E in this potential well of length L 6d (continued) write down an equation relating ψ, (x = 0) to ψ"(x I and II. 0) to ensure continuity between Regions e. Plug in your answers for ,(x) and nCx) into your boundary condition from part d). Solve for either of the constants required for the linear combination in part c). f. Now write down the equation relating ψ"(x Regions II and III. 1) to ψι" (x-1) to make the wavefunction continuous between g. Plug in your answers for ψ"(x) and ψ m (x) into your boundary condition from part f solve for the remaining linear combination constant? Is that value allowed? what happens if you Enforcing the boundary conditions above leaves us with thhsation is equivalent to the one you obtained with complex exponentials above.

Answer 1

e m dx 田:0 2 2. 2 2m k1 A -B

返。 ん en Pb n2ク 2 r と