When an electron and positron are produced from pair production, they are typically not entangled particles. Pair production is a process in which a high-energy photon interacts with a nucleus or an electron, producing an electron-positron pair. The process can occur in various contexts, such as in particle accelerators or in high-energy astrophysical environments.
During pair production, the conservation laws of energy and momentum are obeyed, and the produced particles carry opposite charges and have equal but opposite momenta. However, entanglement is a specific quantum mechanical phenomenon that involves the correlation of quantum states between particles.
In general, entanglement arises when a system consisting of multiple particles cannot be described independently, and its overall state requires a description that takes into account the states of each constituent particle. For example, if two particles are produced in a state where their properties are correlated in such a way that the state of one particle is dependent on the state of the other, then they would be considered entangled.
In the case of pair production, the creation of an electron-positron pair does not inherently involve entanglement. The particles are typically produced with independent quantum states, and their subsequent behavior and interactions would depend on their individual properties rather than being correlated due to entanglement.