Consider two electrons described by the Hamiltonian where V(x) = for x<0 and for
ID: 1750910 • Letter: C
Question
Consider two electrons described by the Hamiltonian where V(x) = for x<0 and for x>a; V(x)=0 for0<x<a. Assume that the electrons are in the same spin state;that is, 1=2 (a) What is the lowest energy of the two-electron state? (b) What is the energy eigenfunction for this groundstate? (c) What is the energy and the wave function of the firstexcited state, still keeping 1=2? (a) What is the lowest energy of the two-electron state? (b) What is the energy eigenfunction for this groundstate? (c) What is the energy and the wave function of the firstexcited state, still keeping 1=2?Explanation / Answer
when the electrons are in the same spin state, the spatial two-electron wave function must be antisymmetric under the interchange of the electrons.