Perturbative Treatment on Diatomic Hydrogen Molecule

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Discussion Overview

The discussion revolves around the perturbative treatment of the diatomic hydrogen molecule, with participants seeking resources and methods for solving related problems in quantum mechanics. The scope includes theoretical approaches and references to literature on the topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests assistance on solving problems related to the diatomic hydrogen molecule.
  • Another participant suggests a link to a resource that may contain relevant information.
  • A participant references the quantum mechanics book by Pauling and Wilson, noting specific pages that discuss the hydrogen molecule and its ion.
  • There is mention of the Hylleraas variational approach as a historically significant method for calculating properties of the hydrogen molecule, which is noted for its accuracy compared to perturbative methods.
  • Participants express interest in additional resources and indicate a willingness to ask further questions as they study the recommended literature.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of the Pauling and Wilson book for understanding the topic, but there is no consensus on the best method for solving the problems, as different approaches are mentioned without resolution.

Contextual Notes

Some participants express uncertainty about accessing specific resources, and there is a reliance on historical methods that may not be widely used today. The discussion includes references to both classical and contemporary approaches without resolving their applicability or effectiveness.

Who May Find This Useful

Readers interested in quantum mechanics, particularly those studying molecular systems or seeking historical context on computational methods in physics.

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Hello Everyone! I need help on this topic. Can anyone provide me some details on how to solve the problem? Thanks..
 
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As I recall, the hydrogen molecule (and maybe also the hydrogen molecular ion) problems are solved in the quantum mechanics book by Pauling and Wilson.
Bob S

[added] Pauling and Wilson, Introduction to Quantum Mechanics, Mcgraw Hill (1935). See the following pages
Hydrogen molecule, page 340
Excited states of hydrogen molecule, page 353
Hydrogen molecule ion, page 327
 
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As an aside, the best method (as in - most accurate for the computational complexity) is the now seldom-seen Hylleraas variational approach (applied to helium in 1929), which works for two electrons but not that well for many more. The method was used to calculate hydrogen http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JCPSA6000001000012000825000001&idtype=cvips&gifs=yes" , with a result that was far better than perturbatory calculations could do at that time.
 
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alxm said:
Try http://www.springerlink.com/content/j74545637g1ng330/"
Hey thanks for the link. I think the file has the information i need. Unfortunately i don't have an access to download the file. =) Just in case you have another link to that file perhaps you can post it. =)
 
Last edited by a moderator:
Bob S said:
As I recall, the hydrogen molecule (and maybe also the hydrogen molecular ion) problems are solved in the quantum mechanics book by Pauling and Wilson.
Bob S

[added] Pauling and Wilson, Introduction to Quantum Mechanics, Mcgraw Hill (1935). See the following pages
Hydrogen molecule, page 340
Excited states of hydrogen molecule, page 353
Hydrogen molecule ion, page 327
Thanks! I just borrowed that book and I will read it. I'll try to understand the book. I will post some questions just in case I can't understand some parts of it. =) Thanks again. Just in case you have any other info about the topic, please feel free to post it because it would really be a great help. =)
 

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