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phyky
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Homework Statement
two identical particles of spin 1/2 that confined in a cubical box of side L. find the energy and wave function (non-interacting between particles)
Homework Equations
for a cubic boxby and reducing the Schrodinger equation:
ψ(x,y,z)=√(8/L3 ) sin((nx πx)/L)sin((ny πy)/L)sin((nz πz)/L)
E= (ħ2 π2)/(2mL2 ) (nx2+ny2+nz2 )
The Attempt at a Solution
E=ε1+ε2=(ħ2 π2)/(2mL2 ) [(n_x12+n_y12+n_z12 )+(n_x22+n_y22+n_z22 ) ]
n how about the wave function? should i find it anti-symmetry wave funtion?
ψa(r1,r2;S1,S2)=ψs(r1,r2)χa(S1,S2)
=ψa(r1,r2)χs(S1,S2)
then the wave function is combination of this?
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