Using completeness relation to find <Omega>=0

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Discussion Overview

The discussion revolves around a self-test problem from the book "Molecular Quantum Mechanics" by Atkins and Friedman, specifically focusing on the completeness relation and its implications for a certain mathematical condition involving a function f.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant expresses difficulty with a specific self-test problem, suggesting that the completeness relation may be relevant to showing that <Ω>=0 under certain conditions.
  • Another participant points out a discrepancy in the problem reference, indicating that the problem mentioned may not align with the version of the book they are using.
  • A third participant confirms the reference to a different self-test problem in the fourth edition of the book.
  • A fourth participant notes they are using a different edition, the fifth edition, which may contain variations in the problems presented.

Areas of Agreement / Disagreement

Participants do not appear to agree on the specific problem being discussed due to differences in the editions of the textbook they are referencing. Multiple competing views regarding the correct problem exist.

ChemicalTom
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I am stuck on this Self-test 1.6 in molecular quantum mechanics by atkins and friedman.
Probably making use of the completeness relation the question is the following: Show that if <Ωf>*=-Ωf*, then <Ω>=0 for any real function f.
Anyone got a clue?
 
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Hi ChemicalTom
The self test 1.6 in the book you mentioned, is different from the problem you've posted. I'm using fourth edition... correct me if I'm wrong...

Regards
 
In the 4th edition it's the self-test 1.9 on page 33.
 
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Hi Phoenix95 I am using the fifth editon.
 
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