The discussion focuses on the mathematical formulation of non-local dynamics in quantum mechanics, particularly within non-relativistic quantum electrodynamics (QED). It highlights the presence of non-local terms in the Hamiltonian, where creation and annihilation operators at different spatial points interact. The conversation also references Bohm's Implicate Order as a framework for understanding quantum non-locality, suggesting that the entire universe is contained within every small part of the Implicate Order. The need for functions connecting operators across spacetime points, such as the Coulomb potential, is emphasized as essential for non-local theories.
PREREQUISITESThe discussion is beneficial for theoretical physicists, quantum mechanics researchers, and anyone interested in the foundations of quantum theory and non-local dynamics.
olgranpappy said:For example, non-relativistic quantum electrodynamics--the kind usually taken as the starting point for theoretical developments in condensed matter physics... this contains non-local terms in the hamiltonian wherein creation and annihilation operators at different points in space multiply each other.
In any local action you have operators all evaluated at the same spacetime point (and integrated over that spacetime location), but if the operators were not evaluate at the same point the theory would not be non-local... normally one would need some kind of function connecting the operators (all spacetime points being integrate over), e.g., the coulomb potential in condensed matter physics