Quantum Mechanics-Commutators and Heisenberg Uncertainty Principle (CSIR Physical Sciences): Questions 6 - 8 of 8

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Question number: 6

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

The matrices A=[010100000],B=[001000000]andC=[000001000] Satisfy the commutation relations (June)

Choices

Choice (4) Response

a.

[A,B]=B,[B,C]=0,[C,A]=A

b.

[A,B]=C,[B,C]=A,[C,A]=B

c.

[A,B]=C,[B,C]=0,[C,A]=B

d.

[A,B]=B+C,[B,C]=0,[C,A]=B+C

Question number: 7

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2013

MCQ▾

Question

If the operators A and B satisfy the commutation relation [A,B]=I , where I is identity operator, then – (June)

Choices

Choice (4) Response

a.

[eA,B]=eA

b.

[eA,B]=I

c.

[eA,B]=[eB,A]

d.

[eA,B]=[eB,A]

Question number: 8

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2016

MCQ▾

Question

If L^x,L^y and L^z are the components of the angular momentum operator in three dimensions, the commutator [L^x,L^xL^yL^z] may be simplified to – (June)

Choices

Choice (4) Response

a.

iLx(2L^z2L^y2)

b.

0

c.

iL^zL^yL^x

d.

iL^x(L^z2L^y2)

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