Point symmetry group matrix representations

Click For Summary

Discussion Overview

The discussion revolves around the search for resources that clearly explain point symmetry operations using matrix representations. Participants are seeking books or sources that provide detailed information on this topic, which is relevant to group theory and its applications in physics.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant inquires about available books or sources that demonstrate point symmetry operations with matrix representations.
  • Another participant suggests "Point group symmetry: Applications, Methods and tables" by Philip Butler as a potential resource.
  • A participant expresses difficulty in finding printed or electronic versions of the suggested resources and asks for alternatives.
  • Additional recommendations include "Group theory and its application to physical problems" by Morton Hamermesh and "The Mathematical Theory of Symmetry in Solids" by Christopher Bradley and Arthur Cracknell.
  • Another suggestion is made for the paper by Matveev, Mayer, and Roesch, which discusses a concise approach to evaluating matrix representations and irreducible representations of arbitrary point groups.
  • A participant acknowledges that the provided suggestions meet their needs.

Areas of Agreement / Disagreement

Participants generally agree on the need for resources related to point symmetry operations, but there is no consensus on a single source that is readily available or meets all needs.

Contextual Notes

Some participants express challenges in locating specific resources, indicating potential limitations in availability or access to the suggested texts.

torehan
Messages
41
Reaction score
0
Is there any book or source avaliable that clearly shows the point symmetry operation with matrix representations?
 
Physics news on Phys.org
Point group symmetry : Applications
Methods and tables

Philip Butler
Plenum Press (1981)
 
Thanks for your advice but can't find any printed or electronic version.

Is there any alternative?
 
You can find some relevant information in :
Group theory and its application to physical problems
Par Morton Hamermesh

The last update :

The Mathematical Theory of Symmetry in Solids: Representation Theory for point groups and space groups
by Christopher Bradley,Arthur Cracknell
 
I recommend Matveev, Mayer, Roesch, ``Efficient symmetry treatment for the nonrelativistic and relativistic molecular Kohn-Sham problem.'', Comp. Phys. Comm 160 91 (2004), http://dx.doi.org/10.1016/j.cpc.2004.02.013 . They give a general, yet concise and very elegant approach to evaluating matrix representations and irreducible representations of arbitrary point groups.
 
Last edited by a moderator:
Thanks for the posts.
Theese are actually what I need.
 

Similar threads

Undergrad Calculating group representation matrices from basis vector/function
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Density matrix representation of a density operator
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Fundamental representation and adjoint representation
  • · Replies 27 ·
Replies
27
Views
4K
Graduate Are there two different adjoint representations used in the SM?
  • · Replies 9 ·
Replies
9
Views
2K
Graduate Adjoint representation and spinor field valued in the Lie algebra
  • · Replies 1 ·
Replies
1
Views
1K
High School Tensor product of operators and ladder operators
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Unitary representations of Lie group from Lie algebra
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Matrix representation of a unitary operator, change of basis
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Exact symmetry, quantum states, and symmetric dynamics
  • · Replies 8 ·
Replies
8
Views
694
Undergrad Group Theory Appearing in Griffith's Elementary Particles (2nd Ed.)
  • · Replies 20 ·
Replies
20
Views
2K