Consider a pne dimensional infinite-wall potential Vo for > L and <0, and V-0 for OAKL There are two identical spin half fermions in this potential well and spin states are denowed by) and 4) for spin up and down, respectively. a) (Very ensy) Find the eigenvalues and the corresponding wave functions for the potential well. b) (Ensy) Write the full wave function for the fermions in singlet state with possible minimum energy. e) (Easy) Write the full wave function for the fermions in triplet state with possible minimum energy.

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Consider a pne dimensional infinite-wall potential V = ∞ for > Land z<0, and V0 for
There are two identical spin half fermions in this potential well and spin states are
dened by) and 4) for spin up and down, respectively.
a) (Very easy) Find the eigenvalues and the corresponding wave functions for the potential well.
b) (Ensy) Write the full wave function for the fermions in singlet state with possible minimum
energy.
e) (Easy) Write the full wave function for the fermions in triplet state with possible minimum
energy
Transcribed Image Text:results. OAKL Consider a pne dimensional infinite-wall potential V = ∞ for > Land z<0, and V0 for There are two identical spin half fermions in this potential well and spin states are dened by) and 4) for spin up and down, respectively. a) (Very easy) Find the eigenvalues and the corresponding wave functions for the potential well. b) (Ensy) Write the full wave function for the fermions in singlet state with possible minimum energy. e) (Easy) Write the full wave function for the fermions in triplet state with possible minimum energy
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