Quantum MechanicsTimeIndependent Perturbation Theory (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  3 of 8
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 622 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 350.00 or
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. 

