Question 1 1.1 Evaluate the following: (1) SxSy + SySx (ii) SS₂³ S (iii) Use the concept of parity to show whether < 3p|

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Question 1 1 1 Evaluate The Following 1 Sxsy Sysx Ii Ss S Iii Use The Concept Of Parity To Show Whether 3p 1 (52.9 KiB) Viewed 14 times

Question 1 1.1 Evaluate the following: (1) SxSy + SySx (ii) SS₂³ S (iii) Use the concept of parity to show whether < 3p|xsinx|2s> is zero or not (3) 1.2 Prove the following: (i) The scalar product is invariant under unitary transformation. (4) (ii) The trace of a matrix in invariant under unitary transformation. (3) 1.3 The raising (a) and lowering (a) operators of a harmonic oscillator satisfy the relations a/n >= √n|n- 1 − 1 > and a+|n >= √n + 1]n + 1 >, n = 1, 2, 3, ... Obtain the matrix for at. (3) [18]