ANS:
For a 2- electron system, 2 characteristics should be considered:
1. electron's coordinates in wavefunctions must be such that the electrons are indistinguishable , i.e,
|2|
=
.
as every electron is identical.
2.This requirement is according to pauli's exclusion principle. It is that the wavefunction for a 2 electron system must change sign any time the coordinates of any 2 electrons are permuted.
(1,2....i,..j...,N) = -
(1,2,...j,...i,....N)
Considering the above two requirements, the wavefunction for 2 electrons must be antisymmetric w.r.t interchange of spins and indistinguishable.
Thus, the possible wavefunctions are:
1 =
1/
(
a(1)
b(2)
+
b(1)
a(2))
* 1/
(
)
Ms=0
3=1/
(
a(1)
b(2)
-
b(1)
a(2))
*
Ms =1, 0, -1
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