Quantum Mechanics-Commutators and Heisenberg Uncertainty Principle (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5 - 8 of 8

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Question number: 5

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

Suppose Hamiltonian of a conservative system in classical mechanics is Equation ; where Equation is a constant and Equation and Equation are the position and momentum respectively. The corresponding Hamiltonian in quantum mechanics, in the coordinate representation, is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 6

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

The matrices Equation Satisfy the commutation relations (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation , where Equation is identity operator, then – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 8

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2016

MCQ▾

Question

If Equation and Equation are the components of the angular momentum operator in three dimensions, the commutator Equation may be simplified to – (June)

Choices

Choice (4) Response

a.

Equation

b.

0

c.

Equation

d.

Equation

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