L42.2 Identical particles: Two-particle systems

#identicalparticles #quantummechanics #djgriffiths
0:00 Singlet and Triplet States
3:51 Postulate
5:19 Pauli's Exclusion Principle
8:40 Interchange Operator
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[odvutmanush]

Sir Please made tutorial videos on chapter 6 and 7 if possible.

[hershyfishman]

12:58 But although P^2 is always = 1, P is only = +/-1 for specific eigenstates, namely (1, 1) and (1, -1) respectively.

[sarkersaadahmed]

1:37 Dr 5hazhad for thi5 5pecific timeline are we 5aying that "becau5e we cannot identify which particle 5tate i5 currently being focu5ed on [becau5e they are not labeled and 5o e dont know which i5 which] and 5o we add the particle5 in both the 5pacial coordinate5

plea5e Dr correct me if i am wrong?

3:22 for anyone confused please check the lecture 40 or 41 but there Dr eplained the 4 posssible combinations but from four, 2 ket notatioins | 10 > and | 01 > had the same eigen state so they are just combined as 1 / math.sqrt(2) {up down - down up}

7:09 so are we saying that because having a [+] psi for fermion would mean that the states would be the same because psi a = psi b so i can either derive the entire thing in terms of psi a or psi b but either or it will cancel and be 0?

8:07 so meaning two electrons having the same state would lead to both wave functions cancelling out leading to 0 but bozns you add tho5e two wavefunctionss and it adds

11:47 i am quite confused as to how P**2 psi(r1 r2) a5 P psi(r1 r2) would give p5i(r2, r1) and P psi(r2 r1) would give p5i(r1, r2)

12:37 Dr meant when you apply p once, you get -1 p5i (r2, r1) and on a 5eparate line you apply p for an echanged ave function ith the 2 5patial coordinate5 you get -1 p5i(r1, p two time5 i5 like (-1)**2