Quantum MechanicsHarmonic Oscillator (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  4 of 4
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Question number: 1
» Quantum Mechanics » Harmonic Oscillator
Appeared in Year: 2014
Write in Short
A one dimensional harmonic oscillator is in the superposition of number states, , given by
The average energy of the oscillator in the given state is .
Passage
In a one – dimensional harmonic oscillator, and are respectively the ground, first and the second excited states. These three states are normalized and are orthogonal to one another.
, where is a constant.
Question number: 2 (1 of 2 Based on Passage) Show Passage
» Quantum Mechanics » Harmonic Oscillator
Appeared in Year: 2011
Question
The value of for which is orthogonal to is –
Choices
Choice (4)  Response  

a.  1 

b. 


c.  2 

d. 


Question number: 3 (2 of 2 Based on Passage) Show Passage
» Quantum Mechanics » Harmonic Oscillator
Appeared in Year: 2011
Question
For the value of determined in above question, the expectation value of energy of the oscillator in the state is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 4
» Quantum Mechanics » Harmonic Oscillator
Appeared in Year: 2006
Question
A one – dimensional harmonic oscillation is in the state,
Where and are the ground, first excited and second excited states, respectively. The probability of finding the oscillator in the ground state is –
Choices
Choice (4)  Response  

a.  1 

b. 


c.  0 

d. 

