I thought that for a particle to be antisymmetric, it either has to have a symmetric spatial part, then an antisymmetric spin state, or vice verca. A works because it has the antisymmetric spin state, but B assumes that the spin is symmetric, and Spatial part is antisymmetric. So they shouldn't...
1. Consider 2 free electrons, with single-particle wavefunctions eip1*r1|+/-> and eip2*r2|+/->.
a) Construct the antisymmetric 2-electron wavefunction of net spin zero.
b) Construct the antisymmetric 2-electron wavefunction of net spin 1. Assume that both spins are up...
No, that's just an addition of subspaces, I'm talking about the "direct sum" its the little circle with the plus sign in it, I think its like a partisan cross product, but with vector spaces... I think
Homework Statement
17. Let U = f(x; y; 0) : x 2 R; y 2 Rg, E1 = f(x; 0; 0) : x 2 Rg, and E3 = f(0; 0; x) :
x 2 Rg: Are the following assertions true or false? Explain.
(a) U + E1 is a subspace of R3:
(b) U E1 is a direct sum decomposition of U + E1:
(c) U E3 is a direct sum...