2 papers
math-ph2024
Feynman checkers: through the looking-glass
Fedor Ozhegov, Mikhail Skopenkov, Alexey Ustinov
Feynman gave a famous elementary introduction to quantum theory by discussing the thin-film reflection of light. We make his discussion mathematically rigorous, keeping it elementa…
math-ph2022
Feynman checkers: lattice quantum field theory with real time
Mikhail Skopenkov, Alexey Ustinov
We present a new completely elementary model that describes the creation, annihilation, and motion of non-interacting electrons and positrons along a line. It is a modification of…