- #1

- 511

- 1

*Invariance of the potential energy under time-translations implies conservation of mechanical energy E = K + V , the sum of the kinetic energy K and the potential energy V .

*Invariance of the potential energy under spatial translations parallel to a vector n implies conservation of the momentum component p_n .

*Invariance of the potential energy under rotations about an axis n implies conservation of the component j_n of the angular momentum.