Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 57  59 of 80
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Question number: 57
» Quantum Mechanics » Variational Method
Appeared in Year: 2012
Question
What would be the ground state energy of the Hamiltonian – If variational principle is used to estimate it with the trial wavefunction with b, as the variational parameter?
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 58
» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation
Appeared in Year: 2012
Question
A free particle describe by a plane wave and moving in the positive z – direction undergoes scattering by a potential,
If is changed to , keeping R fixed, then the differential scattering cross section, in the Born approximation, (June)
Choices
Choice (4)  Response  

a.  Increases to twice the original value 

b.  Decreases to one fourth the original value 

c.  Increases to four times the original value 

d.  Decreases to half the original value 

Question number: 59
» Quantum Mechanics » Timeindependent Perturbation Theory and Applications
Appeared in Year: 2012
Question
The perturbation, acts on a particle of mass confined in an infinite square well potential
The first order correction to the ground – state energy of the particle is –
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

