Operator Algebra | Quantum Chemistry | MCQs for CSIR NET & GATE - Download PDF

personVijay Ishwar

January 26, 2022

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, p_x] is equal to-

[GATE YYYY]

        (a) - 3hx²/2πi
        (b) hx/2πi
        (c) hx²/2πi
        (d) 3hx²/2πi

Q7. Commutator of [x, [x, p_x²]] is equal to -

[NET June 2013]

        (a) [p_xx , [x, p_x]]
        (b) [x p_x, [x, p_x]]
        (c) - [p_x, [x², p_x]]
        (d) [x, [x², p_x]]

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