Please define all the symbols here.shinobi20 said:Homework Equations
ω→ω+a{ω,p}+a^2/2!{{ω,p},p}+...
3. The Attempt at a Solution
Rules of the forum require showing work before receiving help. Indicate the type of substitution you tried.Sorry, I just can’t think of any way, substituting doesn’t work.
The rotation transformation by Poisson brackets is a mathematical concept used in classical mechanics to describe the dynamics of rotating systems. It involves using a set of equations known as Poisson brackets to calculate the rate of change of a system's coordinates and momenta as it rotates.
The rotation transformation by Poisson brackets is closely related to angular momentum, as it is used to calculate the rate of change of angular momentum in a rotating system. This allows us to understand how the angular momentum of a system changes over time, and how it is affected by external forces.
The Poisson bracket is a mathematical tool used to calculate the rate of change of a system's coordinates and momenta. In the rotation transformation, it allows us to determine the dynamics of a rotating system and understand how it responds to external forces.
No, the rotation transformation by Poisson brackets is a classical mechanics concept and cannot be applied to quantum systems. In quantum mechanics, a different set of equations known as commutators are used to describe the dynamics of rotating systems.
The rotation transformation by Poisson brackets is closely related to Hamilton's equations, as both are used to describe the dynamics of a system in classical mechanics. The Poisson bracket is used to calculate the rate of change of a system's coordinates and momenta, while Hamilton's equations are used to find the equations of motion for a system.