“Noether’s theorem”的概念、定义、翻译、参考文献-科学参考

Noether’s theorem

Physics

Every continuous symmetry under which the Lagrangian (or Hamiltonian) is invariant in form is associated with a conservation law. For example, invariance of a Langrangian under time displacement implies the conservation of energy. Not all conservation laws are associated with continuous symmetries, since some conservation laws are associated with topology, particularly for solitons. It does not automatically follow that if there is a conserved quantity in a classical field theory associated with Noether’s theorem, there is a conserved quantity in the corresponding quantum field theory; this raises the possibility of an anomaly. Noether’s theorem was stated in 1918 by the German mathematician Amalie Emmy Noether (1882–1935).

Mathematics

The theorem states that any symmetry in the equations governing a dynamical system will result in a conservation law. For example, the conservation of momentum and energy in a system are, respectively, consequences of the invariance of the governing equations in space and time.

单词	Noether’s theorem
释义	Noether’s theorem Physics Every continuous symmetry under which the Lagrangian (or Hamiltonian) is invariant in form is associated with a conservation law. For example, invariance of a Langrangian under time displacement implies the conservation of energy. Not all conservation laws are associated with continuous symmetries, since some conservation laws are associated with topology, particularly for solitons. It does not automatically follow that if there is a conserved quantity in a classical field theory associated with Noether’s theorem, there is a conserved quantity in the corresponding quantum field theory; this raises the possibility of an anomaly. Noether’s theorem was stated in 1918 by the German mathematician Amalie Emmy Noether (1882–1935). Mathematics The theorem states that any symmetry in the equations governing a dynamical system will result in a conservation law. For example, the conservation of momentum and energy in a system are, respectively, consequences of the invariance of the governing equations in space and time.
随便看	Halsell, James, Jr (1956– ) Halsey, William Frederick (1882–1959) halt Halting problem halting problem Ham hamada Hamal Hamann, Johann Georg (1730–88) hamartia Hamas Hamblin’s axiom Hamel basis Hamilcar Barca (c.229) Hamilton, Alexander (1757–1804) Hamiltonian Hamiltonian cycle Hamiltonian graph Hamiltonian mechanics Hamilton, James, 3rd Marquis and 1st Duke of (1606–49) Hamilton, Sir William Rowan Hamilton, Sir William Rowan (1805–65) Hamilton, William (1788–1856) Hamilton, William Donald Hamilton, William Rowan (1805–65)