Question

7. which symmetry laws lead to () Law of conservation of energy and (ii) Law of
conservation of angular momentum?​

Answer 1

Answer:

Law of conservation of energy

The results will be the same. That symmetry with respect to time shift gives rise to the law of conservation of energy, maybe the most important conservation law in physics. In a sense, time-shift symmetry is already built-in into the Schrödinger equation. The equation does not depend on what time you take to be zero.

(ii) Law of conservation of angular mmomentum

The law of conservation of angular momentum states that when no external torque acts on an object, no change of angular momentum will occur.