qinglong.1397 said:I cannot really understand the logic of this expression
The logic behind Wald & Zoupas' expression on conserved quantities is based on the Noether charge approach to understanding the symmetries of a physical system. They use the Noether charge to define conserved quantities and then express them in terms of the symplectic potential, which is a fundamental quantity in Hamiltonian mechanics.
The expression on conserved quantities is a mathematical representation of the laws of physics. It helps us understand how symmetries in a physical system lead to the conservation of certain quantities, such as energy, momentum, and angular momentum. This expression is crucial in understanding the fundamental principles of physics and how they govern the behavior of our universe.
Yes, the expression on conserved quantities can be applied to all physical systems, as long as they exhibit certain symmetries. These symmetries can be either continuous or discrete, and they play a crucial role in determining the conserved quantities of a system. Therefore, this expression is a universal tool for understanding the conservation laws in various physical systems.
The expression on conserved quantities is useful in practical applications because it allows us to identify and calculate the conserved quantities of a physical system. This information is crucial in many areas of physics, such as in predicting the behavior of particles in a particle accelerator or in studying the dynamics of celestial bodies in astrophysics.
There are some limitations to the expression on conserved quantities, as it relies on the assumption of symmetries in a physical system. If a system does not exhibit any symmetries, then this expression cannot be applied. Additionally, the expression may become more complex for systems with a large number of degrees of freedom, making it challenging to calculate the conserved quantities accurately.