Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 20  22 of 80
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Question number: 20
» 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: 21
» Quantum Mechanics » Elementary Scattering Theory
Appeared in Year: 2012
Question
The ground state wave function for the hydrogen atom is given by , where is the Bohr radius. The plot of the radial probability density, for the hydrogen atom in the ground state is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 22
» Quantum Mechanics » Postulates of Quantum Mechanics
Appeared in Year: 2012
Question
Consider the wavefunction for a ferromagnetic system consisting of two spin – half particles. The spatial part of the wavefunction is given by –
Where, and are single particle states.
The spin part of of the wavefunction with spin states and should be –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

