Changes

Poincare group (view source)

3 bytes removed , 21:22, May 27, 2009

no edit summary

Line 4: Line 4:

Spatial translations:

−

<math>T_x : (x, y, z, ct) = (x + /epsilon , y, z, ct)</math>

+

<math>T_x : (x, y, z, ct) = (x + \epsilon , y, z, ct)</math>

−

<math>T_y : (x, y, z, ct) = (x, y + /epsilon , z, ct)</math>

+

<math>T_y : (x, y, z, ct) = (x, y + \epsilon , z, ct)</math>

−

<math>T_z : (x, y, z, ct) = (x, y, z + /epsilon , ct)</math>

+

<math>T_z : (x, y, z, ct) = (x, y, z + \epsilon , ct)</math>

Time Translations:

−

<math>T_t : (x, y, z, ct) = (x, y, z, ct + /epsilon )</math>

+

<math>T_t : (x, y, z, ct) = (x, y, z, ct + \epsilon )</math>

Spatial Rotations:

−

<math>R_x : (x, y, z, ct) = (x, cos /theta y + sin /theta z, - sin /theta y + cos /theta y, ct')</math>

+

<math>R_x : (x, y, z, ct) = (x, cos \theta y + sin \theta z, - sin \theta y + cos \theta y, ct)</math>

−

<math>R_y : (x, y, z, ct) = (cos /theta x + sin /theta z, y, - sin /theta x + cos /theta z, ct')</math>

+

<math>R_y : (x, y, z, ct) = (cos \theta x + sin \theta z, y, - sin \theta x + cos \theta z, ct)</math>

−

<math>R_z : (x, y, z, ct) = (cos /theta x + sin /theta y, - sin /theta x + sin /theta y, z, ct')</math>

+

<math>R_z : (x, y, z, ct) = (cos \theta x + sin \theta y, - sin \theta x + sin \theta y, z, ct)</math>

Lorentzian Transformations:

504

edits