Quantum Mechanics-Spin-Statistics Connection (CSIR Physical Sciences): Questions 10 - 11 of 11

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In a system consisting of two spin 12 particles labeled 1 and 2, let S(1)=2σ(1) and S(2)=2σ(2) denote the corresponding spin operators. Here, σ(σx,σy,σz) and σx,σy,σz are the three Pauli matrices. (June)

Question number: 10 (1 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2011

MCQ▾

Question

These two operators satisfy the relation,

Choices

Choice (4) Response
a.

[Sx(1)Sy(2),Sy(1)Sx(2)]=0

b.

{Sx(1)Sy(2),Sy(1)Sx(2)}=0

c.

{Sx(1)Sy(2),Sy(1)Sx(2)}=Sz(1)Sz(2)

d.

[Sx(1)Sy(2),Sy(1)Sx(2)]=iSz(1)Sz(2)

Question number: 11 (2 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2011

MCQ▾

Question

In the standard basis the matrices for the operators Sx(1)Sy(2) and Sy(1)Sx(2) respectively,

Choices

Choice (4) Response
a.

24(1001),24(1001)

b.

24(000i00i00i00i000),24(000i00i00i00i000)

c.

24(i00i),24(i00i)

d.

24(01001000000100i0),24(0100i00000010010)

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