Speaker
Karthik Rajeev
Description
In standard uses of the worldline path integral formalism, Dirichlet or periodic boundary conditions are typically employed to calculate relevant quantities. However, when representing wave functions via path integrals, mixed boundary conditions emerge, where one end adheres to a Dirichlet or Neumann condition, while the other satisfies the opposite. Through straightforward examples from strong-field QED and Rindler spacetime, we illustrate how these boundary conditions lead to the corresponding wave functions. Furthermore, these examples reveal intriguing connections between proper-time contours and horizon-crossing.
