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Consider a particle in a one dimensional potential that satisfies denote the ground and the first excited states, respectively, and let be a normalized state with ∝0 and ∝
being real constants. The expectation value ⟨x⟩ of the position operator x in the state  is given by
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider a particle in a one dimensional potential that satisfiesdenot...
Here, a particle in a one-dimensional potential satisfies,

Also, given

Now, expectation value of x is,

Also,

Therefore from equation (3)

since x is an odd operator. Therefore from equation (2)
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Consider a particle in a one dimensional potential that satisfiesdenote the ground and the first excited states, respectively, and letbe a normalized state with∝0 and∝1being real constants. The expectation value⟨x⟩of the position operatorxin the stateis given bya)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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Consider a particle in a one dimensional potential that satisfiesdenote the ground and the first excited states, respectively, and letbe a normalized state with∝0 and∝1being real constants. The expectation value⟨x⟩of the position operatorxin the stateis given bya)b)c)d)Correct answer is option 'A'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Consider a particle in a one dimensional potential that satisfiesdenote the ground and the first excited states, respectively, and letbe a normalized state with∝0 and∝1being real constants. The expectation value⟨x⟩of the position operatorxin the stateis given bya)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a particle in a one dimensional potential that satisfiesdenote the ground and the first excited states, respectively, and letbe a normalized state with∝0 and∝1being real constants. The expectation value⟨x⟩of the position operatorxin the stateis given bya)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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