Quantum Mechanics-Commutators and Heisenberg Uncertainty Principle (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 6 of 9

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Question number: 1

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

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Appeared in Year: 2014

MCQ▾

Question

Given that the uncertainty in the ground state of the hydrogen atom is – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 2

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

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Appeared in Year: 2012

MCQ▾

Question

Given the usual canonical commutation relation, the commutator of and is - (December)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 3

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

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Appeared in Year: 2014

MCQ▾

Question

Let and denote, respectively, the coordinate and momentum operators satisfying the canonical commutation relation in natural units . Then the commutator is – (December)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 4

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

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Appeared in Year: 2012

MCQ▾

Question

The commutator is – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 5

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

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Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 6

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

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Appeared in Year: 2014

MCQ▾

Question

The matrices Satisfy the commutation relations (June)

Choices

Choice (4)Response

a.

b.

c.

d.

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