Point symmetry group matrix representations

Click For Summary
SUMMARY

The discussion centers on resources for understanding point symmetry operations through matrix representations. Key recommendations include "Point Group Symmetry: Applications" by Philip Butler and "Group Theory and Its Application to Physical Problems" by Morton Hamermesh. Additionally, "The Mathematical Theory of Symmetry in Solids: Representation Theory for Point Groups and Space Groups" by Christopher Bradley and Arthur Cracknell is highlighted as a valuable resource. The paper by Matveev, Mayer, and Roesch on efficient symmetry treatment in molecular Kohn-Sham problems is also noted for its elegant approach to evaluating matrix and irreducible representations.

PREREQUISITES
  • Understanding of point group symmetry
  • Familiarity with matrix representations in group theory
  • Basic knowledge of Kohn-Sham theory in quantum mechanics
  • Ability to interpret scientific literature in physics and mathematics
NEXT STEPS
  • Research "Point Group Symmetry: Applications" by Philip Butler
  • Explore "The Mathematical Theory of Symmetry in Solids" by Bradley and Cracknell
  • Study the paper by Matveev, Mayer, and Roesch on symmetry treatment in Kohn-Sham problems
  • Investigate matrix representation techniques in group theory
USEFUL FOR

Researchers, physicists, and students in the fields of theoretical physics and materials science who are focused on symmetry operations and their applications in quantum mechanics.

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
3K
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
2K
Graduate Matrix representation of a unitary operator, change of basis
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Group Theory Appearing in Griffith's Elementary Particles (2nd Ed.)
  • · Replies 20 ·
Replies
20
Views
2K
Undergrad Definition of the special unitary group
  • · Replies 46 ·
2
Replies
46
Views
6K