E[p] represents the
energy of the system, Ts[p] repre-
sents the kinetic energy of the non-interacting system, J[p] represents the electrostatic distribution of the charge, and Exc[p], known as the exchange-correlation functional, represents the information that is not known about the system. Currently, scientists are approximating this exchange-correlation functional by trying out various functional methods, which is the topic of this paper.
Pierre C. Hohenberg, born in 1934 in France, is a world-renowned theoretical physicist. Earning his bachelor’s degree, master’s degree, and doctorate from Harvard University, Hohenberg began working at Bell Laboratories in Murray Hill, where from 1989 to 1995 he became the directer of the department of theoretical physics. Hohenberg has a unique fondness for his home country, as he was guess professor in Paris in 1963, 1964, and 1988. 2004 saw him advance to Senior Vice Provost of Research at NYU , but he soon stepped down to be a professor in the Physics Department. Hohenberg was a leading figure outside academia as well, as he was on the human rights committee of the New York Academy of Sciences and a proud member of the National Academy of Sciences and American Academy of Arts and Sciences. His theorems, with Walter Kohn, in a paper written in the Physical Review would give birth to the density functional theory we have today.
Walter Kohn, born in 1923 in Austria, is one of the most important people in the area of theoretical chemistry. After receiving a PhD from Harvard, in the field of physics, Kohn would go on to become a physics professor at Carnegie Mellon University, University of California at San Diego, and University of California at Santa Barbara . Like Hohenberg, Kohn had a large impact outside of academia, as he was a member of the National Academy of Sciences and American Academy of Arts and Sciences. He is, however, best known for winning the 1998 Nobel Prize in Chemistry, who he shared with physicist John A. Pople. He was recognized with the prestigious award for his “development of the density functional theory”. He passed away last year due after his battle with jaw cancer.