INTEGRATION TECHNIQUES IN THE PATH INTEGRAL QUANTUM TRAJECTORY MODEL
Publication Date
4-5-2019
Document Type
Poster
Degree Type
Undergraduate
Department
Physics
Mentor
Allison Harris
Mentor Department
Physics
Abstract
The path integral technique is an alternative formulation of quantum mechanics that is based on a Lagrangian approach. In its exact form, it is completely equivalent to the Hamiltonian-based Schrödinger equation approach. We have used the path integral formalism to develop our Path Integral Quantum Trajectory (PIQTr) model for use in the study of charged particle dynamics. One of the challenges of the PIQTr model is the need to integrate a highly oscillatory function. Here we explore the application of several integration techniques for use in the PIQTr model and benchmark their computational requirements.
Recommended Citation
Turpin, Victor, "INTEGRATION TECHNIQUES IN THE PATH INTEGRAL QUANTUM TRAJECTORY MODEL" (2019). University Research Symposium. 348.
https://ir.library.illinoisstate.edu/rsp_urs/348