Quantum Mechanics-Commutators and Heisenberg Uncertainty Principle (CSIR Physical Sciences): Questions 1 - 5 of 7

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Question number: 1

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

Given that p^r=i(r+1r); the uncertainty Δpr in the ground state ψ0(r)=1πa03era0 of the hydrogen atom is – (June)

Choices

Choice (4) Response

a.

2a0

b.

2a0

c.

a0

d.

2a0

Question number: 2

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2012

MCQ▾

Question

Given the usual canonical commutation relation, the commutator [A,B] of A=i(xpyypx) and B=(ypz+zpy) is - (December)

Choices

Choice (4) Response

a.

(xpzpxz)

b.

(xpzpxz)

c.

(xpz+pxz)

d.

(xpz+pxz)

Question number: 3

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2014

MCQ▾

Question

Let x and p denote, respectively, the coordinate and momentum operators satisfying the canonical commutation relation [x,p]=i in natural units (=1) . Then the commutator [x,pep] is – (December)

Choices

Choice (4) Response

a.

ipep

b.

i(1p)ep

c.

i(1ep)

d.

i(1p2)ep

Question number: 4

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2012

MCQ▾

Question

The commutator [x2,p2] is – (June)

Choices

Choice (4) Response

a.

2i(xp+px)

b.

2ipx

c.

2ix(xppx)

d.

2ixp

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 H=ωxp ; where ω is a constant and x and p are the position and momentum respectively. The corresponding Hamiltonian in quantum mechanics, in the coordinate representation, is – (December)

Choices

Choice (4) Response

a.

iω(xx12)

b.

iωxx

c.

iω(xx+12)

d.

iω2xx

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