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Let ψ0 and ψ2. denote respectively the ground state and second excited state energy eigenfunction of a particle moving in a harmonic oscillator potential with frequency ψ. If at time t the particle has the wavefunction,

The expectation value of the energy as a function of time
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let ψ0 and ψ2. denote respectively the ground state and second...
The expectation value of an operator that does not depend on the time and commutes with the Hamiltonian is constant in time. So, (E) will remain constant with time.
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Let ψ0 and ψ2. denote respectively the ground state and second excited state energy eigenfunction of a particle moving in a harmonic oscillator potential with frequency ψ. If at time t the particle has the wavefunction,The expectation value of the energy as a function of timea)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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Let ψ0 and ψ2. denote respectively the ground state and second excited state energy eigenfunction of a particle moving in a harmonic oscillator potential with frequency ψ. If at time t the particle has the wavefunction,The expectation value of the energy as a function of timea)b)c)d)Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let ψ0 and ψ2. denote respectively the ground state and second excited state energy eigenfunction of a particle moving in a harmonic oscillator potential with frequency ψ. If at time t the particle has the wavefunction,The expectation value of the energy as a function of timea)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let ψ0 and ψ2. denote respectively the ground state and second excited state energy eigenfunction of a particle moving in a harmonic oscillator potential with frequency ψ. If at time t the particle has the wavefunction,The expectation value of the energy as a function of timea)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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