Title

INTEGRATION TECHNIQUES IN THE PATH INTEGRAL QUANTUM TRAJECTORY MODEL

Author

Victor Turpin, Illinois State UniversityFollow

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