Quantum Mechanics-Timeindependent Perturbation Theory and Applications (CSIR Physical Sciences): Questions 4 - 6 of 8

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Question number: 4

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2013

MCQ▾

Question

A perturbation Vper=aL2 is added to the Hydrogen atom potential. The shift in the energy level of 2P state, when the effects of spin are neglected up to second order in a , is – (Dec. 2013)

Choices

Choice (4) Response

a.

a2+32a24

b.

2a2+a24

c.

2a2

d.

0

Question number: 5

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2013

MCQ▾

Question

Consider a two – dimensional infinite square well,

V(x,y)=f(x)={0,0<x<a,0<y<a,otherwise

Its normalized eigenfunction are; ψnx,ny(x,y)=2asin(nxπxa)sin(nyπya)

Where, nx,ny=1, 2,3, If a perturbation H={V0,0<x<a2,0<y<a20,otherwise is applied, then the correction to the energy of the first excited state to order V0 is – (June – 2013)

Choices

Choice (4) Response

a.

V04(1±329π2)

b.

V04

c.

V04(1±649π2)

d.

V04(1±169π2)

Question number: 6

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2012

MCQ▾

Question

The perturbation, H={b(ax),a<x<a0,otherwise acts on a particle of mass m confined in an infinite square well potential V(x)={0,a<x<a,otherwise

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

(December)

Choices

Choice (4) Response

a.

ba

b.

ba2

c.

ba2

d.

2ba

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