The spin wave function for a two – electron system are: φ1- α(1) α(2 ) P2 = B (1) B(2) 27 P3 = Ga(1)B(2) + B (1) a(2)] 27 P4 = G [a(1) B(2) – B (1) a(2)] The spin wave functions (a and B) are defined such that: Jspin space a(i)B(i)dv = 0 Sapin: Sspin space a(1)a(i)dv = 1,, spin space B(1)B(i)dV = 1 and dV = dV, dV2 Show that p1 and p4 are orthogonal.
The spin wave function for a two – electron system are: φ1- α(1) α(2 ) P2 = B (1) B(2) 27 P3 = Ga(1)B(2) + B (1) a(2)] 27 P4 = G [a(1) B(2) – B (1) a(2)] The spin wave functions (a and B) are defined such that: Jspin space a(i)B(i)dv = 0 Sapin: Sspin space a(1)a(i)dv = 1,, spin space B(1)B(i)dV = 1 and dV = dV, dV2 Show that p1 and p4 are orthogonal.
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Show that φ1 and φ4 are orthogonal. (refer to the image for the whole problem)
![The spin wave function for a two - electron system are:
φ1α (1) α(2 )
В (1)
Фг 3D В (1) В(2)
27
P3 =
G[a(1)B(2) + B (1) a(2)]
P4 = G
27
(«(1) B(2) – B (1) a(2)]
The spin wave functions (a and B) are defined such that:
Jspin space a(1)B(i)dv = 0
Jspin space a(i)a(i)dV = 1[ pin spaceB(i)B(1)dV = 1
and dV = dV, dV2
Show that p1 and p4 are orthogonal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67e8d8bd-0a9d-4e35-91c6-b835cc84e0c1%2F104b6585-fe31-44c6-a271-0885b6b9308e%2Frvld50o_processed.png&w=3840&q=75)
Transcribed Image Text:The spin wave function for a two - electron system are:
φ1α (1) α(2 )
В (1)
Фг 3D В (1) В(2)
27
P3 =
G[a(1)B(2) + B (1) a(2)]
P4 = G
27
(«(1) B(2) – B (1) a(2)]
The spin wave functions (a and B) are defined such that:
Jspin space a(1)B(i)dv = 0
Jspin space a(i)a(i)dV = 1[ pin spaceB(i)B(1)dV = 1
and dV = dV, dV2
Show that p1 and p4 are orthogonal.
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