Quantum MechanicsTimeIndependent Perturbation Theory (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  3 of 8
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Question number: 1
» Quantum Mechanics » TimeIndependent Perturbation Theory
Appeared in Year: 2014
Question
A particle is confined to a one dimensional potential box with the potential
If the particle is subjected to a perturbation, within the box, , where is a small constant, the first order correction to the ground state energy is –
Choices
Choice (4)  Response  

a.  0 

b. 


c. 


d. 


Question number: 2
» Quantum Mechanics » TimeIndependent Perturbation Theory
Appeared in Year: 2012
Question
Consider a system in the unperturbed state described by the Hamiltonian, . The system is subjected to a perturbation of the form where . The energy eigenvalues of the perturbed system using the first order perturbation approximation are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 3
» Quantum Mechanics » TimeIndependent Perturbation Theory
Appeared in Year: 2011
Question
The normalized eigen states of a particle in a one – dimensional potential well
are given by, , where
The particle is subjected to a perturbation,
The shift in the ground state energy due to the perturbation, in the first order perturbation theory, is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

