Operator Algebra
MCQs for CSIR NET & GATE
Quantum Chemistry
Topic wise Assignment-1
Q5. Which
operators commute with each other-
[GATE YYYY]
(a) x and d/dx
(b) d/dx and d2/dx2
+ 2 d/dx
(c) x2 d/dx and d2/dx2
(d) x2 and d/dx
Q6. [x3,
px] is equal to-
[GATE YYYY]
(a) - 3hx2/2Ï€i
(b) hx/2Ï€i
(c) hx2/2Ï€i
(d) 3hx2/2Ï€i
Q7. Commutator of [x, [x,
px2]] is equal to -
[NET June 2013]
(a) [px x , [x, px]]
(b) [x px , [x, px]]
(c) - [px , [x2, px]]
(d) [x, [x2, px]]
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