Quantum MechanicsMotion in Central Potential (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  4 of 6
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Question number: 1
» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra
Appeared in Year: 2013
Question
A particle moves in a potential . Which component (s) of the angular momentum is/are constant (s) of motion? (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 
Question number: 2
» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra
Appeared in Year: 2014
Question
Consider the normalized wavefunction ; where is a simultaneous normalized eigenfunction of the angular momentum operators and , with eigenvalue and respectively. If is an eigenfunction of the operator with eigenvalue then  (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Quantum Mechanics » Motion in Central Potential » Addition of Angular Momenta
Appeared in Year: 2011
Question
The energy of the first excited quantum state of a particle in the two dimensional potential is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 4
» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra
Appeared in Year: 2011
Question
Consider a particle in a one dimensional potential that satisfies . Let and denote the ground and the first excited states, respectively, and let be a normalized state with and being real constants. The expectation value of the position operator in the state is given by,  (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
