Quantum MechanicsHarmonic Oscillator (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  4 of 4
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 » 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
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: 3 (2 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: 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. 

