Quantum MechanicsEigenvalue Problems (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 6  10 of 11
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Question number: 6
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2014
Question
The Hamiltonian for a three – state quantum system is given by matrix, . When perturbed by where , the resulting shift in the energy eigenvalue is (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 7
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2013
Question
If is the eigenfunction of a one – dimensional Hamiltonian with eigenvalue , the potential (in units where ) is – (Dec – 2013)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 8
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2013
Question
A particle is prepared in a simultaneous eigenstate of and . If and are respectively the eigenvalues of and , then the expectation value of the particle in this state satisfies – (December 2013)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 9
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2012
Question
Which of the following is a self – adjoint operator in the spherical polar coordinate system ? (June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 10
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2016
Question
Consider the two lowest normalised energy eigenfunction and of a onedimensional system. They satisfy and , where is a real constant. The expectation value of the momentum operator in the state is: (December)
Choices
Choice (4)  Response  

a.  0  
b. 
 
c. 
 
d. 
