Poisson Brackets in Four-Dimensional Vector of Special Relativity
In the special relativity,there is the inherent symmetry of the four-dimensional continuous domain of time and space,which is called Minkowski space.It is of great significance for classical mechanics and quantum mechanics to study the Poisson brackets of four-dimensional vector of special relativity.Classical Poisson bracket is an important operation in Hamiltonian mechanics,which is mainly used in classical mechanics and mathematics.It is more interesting that the symmetry and the Lorentz invariance of the Poisson brackets in four-dimensional vectors occur in the special relativity.We use the correspondence principle to transfer the classical Poisson bracket into the quantum form of Poisson bracket,which leads to the Heisenberg uncertainty relation.The four-dimensional Poisson brackets of special relativity in quantum mechanics will lead to some wonderful physical phenomena,in which some new uncertainty principle will be explored.
special relativityPoisson bracketfour-dimensional vectoruncertainty principle