Debanjana adhikari Asked a Question
May 29, 2020 10:05 pmpts 30 pts
Q6. (A) In a system consisting of two spin particles labeled 1 and 2, let S=G and s= denote the corresponding spin operators. Here d=lo,.0,,o.) and Oxy are the three Pauli matrices. In the standard basis the matrices for the operators Ss and s's are respectively, ) o 6 ) (0 10 0 (c)00i 0h|0 0 -i 0 0- O 0 0 0) (0-i 0 0 d 00 0h|i 0 0 0 4 0 00-il 4 |0 0 0 1 o 0i 0 o o1o Ans: (c) Head office fiziks, H.No. 40-D, G.F, Jia Sarai, Near IIT, Hauz Khas, New Delhi-16 Phone: 011-26865455/+91-9871145498 Branch office Anand Institute of Mathematics, 28-B/6, Jia Sarai, Near IT Hauz Khas, New Delhi-16 Website: Email: fiziks fizi Institute for NET/JRF, GATE, IT-JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES Solution: S's- -1 0 0 0 0 - 0 spis- 0 (B) These two operators satisfy the relation (a)ss,ss}=s'sa) (ssss]-1s'se () Ans: (d) Solution: We have matrix Ss and Ss from question 6(A) so commutation is given by sPs s9se]-o.
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  • Dhairya sharma
    reason is that we have to super impose a metrix to an element.
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    Dhairya sharma
    it will help u.
  • Dhairya sharma
    I already answered see attached
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  • Ruby negi thankyou
    outerproduct is taken because Sx(1),Sy(2) belongs to different Hilbert space that's why for finding the product of Sx(1) and Sy(2) they did outerproduct .. if Sx(1) multiple with S...
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    Ruby negi
    for any doubt u can ask.