Conserved Quantities: Role in Physical Systems

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Conserved quantities play a crucial role in physical systems by reflecting underlying symmetries, as described by Noether's Theorem. The conservation of energy is essential for the equations governing lossless harmonic oscillators, where the total energy remains constant. Momentum conservation arises from spatial symmetry, while energy conservation is linked to temporal symmetry, and angular momentum conservation is associated with parity symmetry. These principles help in understanding the behavior and dynamics of various physical systems. Overall, conserved quantities provide foundational insights into the laws governing motion and energy.
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What is the role of Conserved quantities in physical system?
 
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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
 
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.
 

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