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Unformatted text preview: this potential well. (b) Solve the Schroedinger equation to determine the wave function, Ψ (x, y, z) = X(x)Y(y)Z(z) of this system. You do not need to normalize the wave function. (c) What are the energies of the 1 st and 2 nd states? (d) What are the degeneracies of the 1 st and 2 nd states? Neglect spin. 3. The Hamiltonian for the rotational energy of a system is given by 2 2 2 2 1 2 1 ) ( 2 1 z y x L I L L I H + + = where I n is the moment of inertia in the respective orientations of the system. (a) Write down the eigenfunctions for this system which satisfy H Ψ = E Ψ . What are the quantum numbers for this system (not numerical values, but tell me descriptively how many quantum numbers there will be and what they represent physically)? (b) What are the eigenenergies of this system? Write down the general expression in terms of the quantum numbers for the system....
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- Spring '05
- wave function, Schroedinger equation