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A one-dimensional simple harmonic oscillator with Hamiltonianis subjected to small perturbation The first order correction to the ground state energy is dependent on
  • a)
     
    only β
  • b)
    α and β 
  • c)
     
    α and λ
  • d)
     
    only λ
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A one-dimensional simple harmonic oscillator with Hamiltonianis subjec...
We have
The first order correction is given by:

Now in one-dimensional case the odd power of x's expectation value is 0.
Therefore
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A one-dimensional simple harmonic oscillator with Hamiltonianis subjected to small perturbationThe first order correction to the ground state energy is dependent ona)onlyβb)α andβc)α andλd)onlyλCorrect answer is option 'D'. Can you explain this answer?
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