From physical assumptions to classical and quantum Hamiltonian and Lagrangian particle mechanics
From physical assumptions to classical and quantum Hamiltonian and Lagrangian particle mechanics
The aim of this work is to show that particle mechanics, both classical and quantum, Hamiltonian and Lagrangian, can be derived from few simple physical assumptions. Assuming deterministic and reversible time evolution will give us a dynamical system whose set of states forms a topological space and whose law of …