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Noether's theorem - Wikipedia, the free encyclopedia (1287 words) |
 | Noether's theorem is a central result in theoretical physics that expresses the one-to-one correspondence between continuous symmetries and conservation laws. |
| Noether's Theorem is deeply tied to quantum mechanics as it identifies physical variables that are related by the Heisenberg uncertainty principle (such as position and momentum) using only the principles of classical mechanics. |
| In quantum field theory, the analog to Noether's theorem, the Ward-Takahashi identities, yields further conservation laws, such as the conservation of electric charge from the invariance with respect to the gauge invariance of the electric potential and vector potential. |
| Charge (physics) - Wikipedia, the free encyclopedia (511 words) |
| In physics, a charge may refer to one of many different quantities, such as the electric charge in electromagnetism or the color charge in quantum chromodynamics. |
| Sometimes, the word "charge" is used as a synonym for "generator" in referring to the generator of the symmetry. |
| Charge conjugation simply means that a given symmetry group occurs in two inequivalent (but still isomorphic) group representations. |
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