Quantum Mechanics-Timeindependent Perturbation Theory and Applications (CSIR Physical Sciences): Questions 7 - 8 of 8

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 401 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 7

» 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: 8

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2012

MCQ▾

Question

Consider an electron in a box of length L with periodic boundary condition ψ(x)=ψ(x+L) . If the electron is in the ψk(x)=1Leikx with energy εk=2k22m , what is the correction to its energy, to second order of perturbation theory, when it is subjected to weak periodic potential V(x)=V0cosgx , where g is an integral multiple of the 2πL ? (June)

Choices

Choice (4) Response

a.

V02(εkεg)εg2

b.

V02εk+εg

c.

mV0222(1g2+2kg+1g22kg)

d.

V02εgεk2

Sign In