poincare group वाक्य
उदाहरण वाक्य
मोबाइल
- Lorentz group, the Poincare group, are the representations that have direct physical relevance.
- If the spacetime translations are included, then one obtains the " inhomogeneous Lorentz group " or the Poincare group.
- This yields an action of the Poincare group on the space of square-integrable functions defined on the hypersurface in Minkowski space.
- Note that the Einstein group approaches but never reaches the Poincare group as the flat spacetime ( special relativity limit ) is approached.
- However, if the Poincare group is replaced with a different spacetime symmetry, for example, with the de Sitter group the theorem no longer holds.
- In this way, the 0 } } irreducible representation of the Poincare group is realized by its action on a suitable space of solutions of a linear wave equation.
- The transformations of field operators illustrate the complementary role played by the finite-dimensional representations of the Lorentz group and the infinite-dimensional unitary representations of the Poincare group, witnessing the deep unity between mathematics and physics.
- The irreducible infinite-dimensional unitary representations may have indirect relevance to physical reality in speculative modern theories since the ( generalized ) Lorentz group appears as the little group of the Poincare group of spacelike vectors in higher spacetime dimension.
- The first condition for the theorem is that the unified group " G contains a subgroup locally isomorphic to the Poincare group . " Therefore the theorem only makes a statement about the unification of the Poincare group with an internal symmetry group.
- The first condition for the theorem is that the unified group " G contains a subgroup locally isomorphic to the Poincare group . " Therefore the theorem only makes a statement about the unification of the Poincare group with an internal symmetry group.
- Instead of insisting to work on quantum gravity, Pantur eventually followed the advice of Goldberg to change the subject for his dissertation : to amputate the principle of General Relativity using Poincare Group to find a physical quantity that is conserved in gravitational radiation.
- The point to be made is that the field operator transforms according to a finite-dimensional non-unitary representation of the Lorentz group, while the creation operator transforms under the infinite-dimensional unitary representation of the Poincare group characterized by the mass and spin of the particle.
- For these special topics, see the referenced articles, as the presentation below will be principally confined to the mathematical structure ( Minkowski metric and from it derived quantities and the Poincare group as symmetry group of spacetime ) " following " from the invariance of the spacetime interval on the spacetime manifold as consequences of the postulates of special relativity, not to specific application or " derivation " of the invariance of the spacetime interval.
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