deletions | additions       diff --git a/section_Path_Integral_Approach_Since__.tex b/section_Path_Integral_Approach_Since__.tex  index d4e065e..9bf5682 100644  --- a/section_Path_Integral_Approach_Since__.tex  +++ b/section_Path_Integral_Approach_Since__.tex 
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The path integral method, developed by Richard Feynman, is an alternative formulation of quantum mechanics and has the advantage of approaching the problem by considering the electrons as classical particles. Since we are able to consider contributions from various possible paths of the electron through the double barrier, this should give us a greater understanding in the phenomenon of resonant tunneling and the origin of the negative resistance.  This project thus aims to formulate the resonant tunneling problem through the path integral approach similar to \cite{Zohta_1990} and try to quantifiably compare the results to those seen experimentally in \cite{Chang_1974}. This will be done by considering semiclassical paths of the electrons transmitted and reflected through the barriers, barriers (Figure ),  which are mathematically ignored in the WKB (first order) approximation \cite{bohm2012quantum}.