Quantum Mechanics (CSIR Physical Sciences): Questions 63 - 65 of 70

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Question number: 63

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2011

MCQ▾

Question

A constant perturbation as shown in the figure below acts on a particle of mass m confined in an infinite potential well between 0 and L.

A constant perturbation is given

A Constant Perturbation Is Given

Above figure gives a constant perturbation acts on a particle confined in an infinite potential well between 0 and L.

The first – order correction to the ground state energy of the particle is –

Choices

Choice (4) Response

a.

V02

b.

V04

c.

3V02

d.

3V04

Question number: 64

» Quantum Mechanics » Variational Method

MCQ▾

Question

Let 0 and 1 denote the normalized eigenstate corresponding to the ground and first excited state of a one dimensional harmonic oscillator. The uncertainty Δp in the state 12( 0+ 1) is:

Choices

Choice (4) Response

a.

Δp=mω

b.

Δp=mω2

c.

Δp=2mω

d.

Δp=mω2

Question number: 65

» Quantum Mechanics » Variational Method

Appeared in Year: 2011

MCQ▾

Question

The wave function of the particle at time t=0 is given by ψ(0)=12( u1+ u2) , where u1 and u2 are the normalized eigen states with eigen values E1 and E2 respectively, (E2>E1) . The shortest time after which ψ(t) will become orthogonal to ψ(0) is – (December)

Choices

Choice (4) Response

a.

πE2E1

b.

2πE2E1

c.

π2(E2E1)

d.

2πE2E1

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