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Verify that psi = (2/L)^sigma sin(n pi x/L) are eigenfunctions of the 1-D PIB Hamiltonian, where n = 1, 2, 3, ... and L is the length of the box. It can be easily shown that the particle in a 1-D Box wavefunctions psi_n(x) are eigenfunctions of the operator cap P^2_x. Determine whether psi_n(x) is an eigenfunction of the cap P^3_x operator? Show your work completely.
Verify that psi = (2/L)^sigma sin(n pi x/L) are eigenfunctions of the 1-D PIB Hamiltonian, where n = 1, 2, 3, ... and L is the length of the box. It can be easily shown that the particle in a 1-D Box wavefunctions psi_n(x) are eigenfunctions of the operator cap P^2_x. Determine whether psi_n(x) is an eigenfunction of the cap P^3_x operator? Show your work completely.
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Nelly StrackeLv2
22 Feb 2019
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