Molly Lee

Hi! I am a Technology Analyst at Accenture, currently working as a backend software developer for electric vehicles on a client project. I received my Master's of Science in Computer Science from the University of Nebraska-Lincoln in 2020 and my Bachelor's of Arts in Mathematics and Physics in 2016.

My interests include software development, game development, and quantum research. Please see the links below for my Resume, GitHub profile, and Itch.io profile. Check out the rest of my website to see my game development and research projects!

Double General Point Interactions (Mathematica, Theoretical Quantum Physics)

Double General Point Interactions

In my research paper on “Double General Point Interactions: Symmetry and Tunneling Times,” my research colleagues and I consider the one dimensional problem of a non-relativistic quantum particle scattering off a double barrier potential from two generalized point interactions. We investigated the properties of the double point barrier under parity transformations using the distributional approach. In this paper, we show that the limit of the zero interbarrier distance of a renormalized odd arrangement with two delta primes is either trivial or does not exist as a generalized point interaction. Our ultimate goal was to calculate the phase and Salecker-Wigner-Peres (SWP) clock times. Upon discovery of the equations for these times, we discover the emergence of the generalized Harman effect, in which the tunneling time between two barriers does not depend on the separation distance between the barriers. However, we argue that the generalized Hartman effect only occurs in the extreme opaque limit.

Research Paper Link:

https://www.frontiersin.org/articles/10.3389/fphy.2016.00010/full

Roles:

Research, Analysis, Theoretical Mathematical Physics, Wolfram Mathematica

Actively Researching:

No

What have I learned from this project?

In this research I learned more about mathematical theoretical quantum physics, the process of calculating two types of quantum tunneling times, and the research process overall.