Quantum mechanics - born approximation algebra

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SUMMARY

The discussion centers on a calculation error in quantum mechanics related to approximation algebra, specifically involving the delta function. The user initially derived an expression resulting in a^4, while the expected result is a^2. It was confirmed that the calculation is correct, and the discrepancy arises from the use of the variable 'p' instead of 'k', affecting the units of the final answer. The correct interpretation of units is crucial, as it leads to the proper dimensional analysis of the problem.

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  • Understanding of quantum mechanics principles
  • Familiarity with approximation algebra techniques
  • Knowledge of delta functions in mathematical physics
  • Proficiency in dimensional analysis and unit conversion
NEXT STEPS
  • Review the properties and applications of delta functions in quantum mechanics
  • Study dimensional analysis techniques in physics problems
  • Learn about approximation methods in quantum mechanics
  • Explore the differences between variables 'p' and 'k' in quantum contexts
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Students and researchers in physics, particularly those focusing on quantum mechanics and mathematical methods in physics, will benefit from this discussion.

sxc656
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Hi, I get an a^4 whilst the answer has an a^2. Where am i going wrong? Is the delta function throwing a spanner in my work?

see attachments for question/equations and my attempt.

Thanks
 

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I think your calculation is correct with the a^4. If you check the units in your answer (with p having units of distance^-1.. since it should really be k instead of p), you correctly get units of area. The whole calculation looks ok to me.
 
pellman said:
I think your calculation is correct with the a^4. If you check the units in your answer (with p having units of distance^-1.. since it should really be k instead of p), you correctly get units of area. The whole calculation looks ok to me.

Thanks:)
 

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