QM: expectation value of a harmonic oscillator (cont.)

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SUMMARY

The discussion focuses on calculating the expectation value of the T-operator for a harmonic oscillator using creation and annihilation operators. Participants emphasize the importance of operator ordering in quantum mechanics. The T-operator is expressed in terms of these operators, which are fundamental to quantum harmonic oscillator analysis. Clear guidance is provided on the mathematical formulation required to derive the expectation value.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with harmonic oscillators
  • Knowledge of creation and annihilation operators
  • Comprehension of operator ordering in quantum theory
NEXT STEPS
  • Study the mathematical formulation of the T-operator in quantum mechanics
  • Learn about the role of creation and annihilation operators in quantum harmonic oscillators
  • Research the implications of operator ordering on quantum calculations
  • Explore expectation values in quantum mechanics for various operators
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Students and researchers in quantum mechanics, physicists working with harmonic oscillators, and anyone interested in advanced quantum operator techniques.

ktravelet
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Thanks for all the help on the first question but now I have to solve for <T>. I have no idea how to do this, and I could use some help for a kick start. thanks!
 
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write the T-operator in terms of creation and annihilation operators. Remember that ordering of operators matters.
 

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