Conserved Quantities: Role in Physical Systems

[saravanan13]

What is the role of Conserved quantities in physical system?

 

[Bob S]

Conservation of energy is the basis for the lossless harmonic oscillator equations, where the sum of potential energy V and kinetic energy T is a constant, and in the Hamiltonian, H = T + V.
Bob S

 

[MaxwellsDemon]

In general conserved quantities are valuable because they are related to symmetries in the system being observed...Noether's Theorem. Some examples: momentum conservation is due to spatial symmetry, energy conservation is due to temporal symmetry, angular momentum conservation is due to parity symmetry.