How do I derive the general expression for delta p times delta x?

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SUMMARY

The discussion focuses on deriving the general expression for the product of delta p (Δp) and delta x (Δx) in the context of the harmonic oscillator. The user seeks to establish Δp and Δx as operators, specifically utilizing raising and lowering operators. This mathematical derivation is crucial for understanding the uncertainty principle in quantum mechanics, particularly in harmonic oscillator systems.

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  • Quantum mechanics fundamentals
  • Understanding of operators in quantum mechanics
  • Familiarity with harmonic oscillators
  • Knowledge of raising and lowering operators
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  • Study the derivation of the uncertainty principle in quantum mechanics
  • Learn about the mathematical formulation of operators in quantum mechanics
  • Explore the properties of harmonic oscillators in quantum systems
  • Investigate the application of raising and lowering operators in quantum mechanics
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Students of quantum mechanics, physicists focusing on harmonic oscillators, and anyone interested in the mathematical foundations of quantum theory.

montecarlous
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Hey guys!
How do I derive the general expression for delta p times delta x which is the exception value in the harmonic oscillator. I am supposed to establish delta p and delta x as operators and the express those operators by raising and lowering operators.
 
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montecarlous said:
I am supposed to establish delta p and delta x as operators

Is this a homework problem? If so, you need to post it in the homework forum and fill out the template.
 
Moderator's note: Thread level changed to "I".
 

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