Please help on problem below, thank you
Consider a quantum mechanical particle-in-a-box problem with thepotential energy shown below.
For each region, assume the waveform has energy of either 0.2eVor 0.6 eV and complete the following table. For âDescription of thewavefunction,â choose from the following:
I) Zero: Ψ(x) = 0
II) Standing wave: Ψ(x) = Asin(kx) + Bcos(kx)
III) Free particle plane wave propagating in the +x direction :Ψ(x) = Aexp(ikx)
IV) Free particle plane wave propagating in the -x direction :Ψ(x) = Bexp(-ikx)
V) Free particle plane waves propagating in both directions:Ψ(x) = Aexp (ikx)+ Bexp(-ikx)
VI) Exponentially decaying tunneling wave function: Ψ(x) =Aexp(-ϰx)
VII) Exponentially growing tunneling wave function: Ψ(x) =Bexp(ϰx)
VIII) Both exponentially decaying and growing tunneling wavefunctions : Ψ(x) = Aexp(-ϰx)+ Bexp(ϰx)