Llewellyn Thomas
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Llewellyn Hilleth Thomas (21 October 1903 – 20 April 1992) was a British
physicist A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate cau ...
and
applied mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One ...
. He is best known for his contributions to atomic and molecular physics and solid-state physics. His key achievements include calculating relativistic effects on the spin-orbit interaction in a hydrogenic atom ( Thomas precession), creating an approximate theory of N-body quantum systems ( Thomas-Fermi theory), and devising an efficient method for solving tridiagonal system of linear equations ( Thomas algorithm).


Life and education

Born in London, he studied at
Cambridge University The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
, receiving his BA,
PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
, and MA degrees in 1924, 1927 and 1928 respectively. While on a Traveling Fellowship for the academic year 1925–1926 at Bohr's Institute in Copenhagen, he proposed Thomas precession in 1926, to explain the difference between predictions made by spin-orbit coupling theory and experimental observations. In 1929 he obtained a job as a professor of physics at the
Ohio State University The Ohio State University (Ohio State or OSU) is a public university, public Land-grant university, land-grant research university in Columbus, Ohio, United States. A member of the University System of Ohio, it was founded in 1870. It is one ...
, where he stayed until 1943. He married Naomi Estelle Frech in 1933. In 1935 he was the master's thesis advisor for Leonard Schiff, whose thesis was published with Thomas as coauthor. From 1943 until 1945 Thomas worked on ballistics at the
Aberdeen Proving Ground Aberdeen Proving Ground (APG) is a U.S. Army facility located adjacent to Aberdeen, Harford County, Maryland, United States. More than 7,500 civilians and 5,000 military personnel work at APG. There are 11 major commands among the tenant units, ...
in Maryland. In 1946 he became a member of the staff of the Watson Scientific Computing Laboratory at Columbia University, remaining there until 1968. In 1958 he was elected as a member of the
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, NGO, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the ...
. In 1963, Thomas was appointed as IBM's First Fellow in the Watson Research Center. He was appointed professor at
North Carolina State University North Carolina State University (NC State, North Carolina State, NC State University, or NCSU) is a public university, public Land-grant university, land-grant research university in Raleigh, North Carolina, United States. Founded in 1887 and p ...
in 1968, retiring from this position in 1976. In 1982 he received the Davisson-Germer Prize. He died in Raleigh, North Carolina.


Contributions

Thomas was responsible for multiple advances in physics. The Thomas precession is a correction to the atomic spin-orbit interaction in
quantum mechanics Quantum mechanics is the fundamental physical Scientific theory, theory that describes the behavior of matter and of light; its unusual characteristics typically occur at and below the scale of atoms. Reprinted, Addison-Wesley, 1989, It is ...
, which takes into account the relativistic
time dilation Time dilation is the difference in elapsed time as measured by two clocks, either because of a relative velocity between them (special relativity), or a difference in gravitational potential between their locations (general relativity). When unsp ...
between the
electron The electron (, or in nuclear reactions) is a subatomic particle with a negative one elementary charge, elementary electric charge. It is a fundamental particle that comprises the ordinary matter that makes up the universe, along with up qua ...
and the
atomic nucleus The atomic nucleus is the small, dense region consisting of protons and neutrons at the center of an atom, discovered in 1911 by Ernest Rutherford at the Department_of_Physics_and_Astronomy,_University_of_Manchester , University of Manchester ...
. The Thomas–Fermi model is a statistical model for electron-
ion An ion () is an atom or molecule with a net electrical charge. The charge of an electron is considered to be negative by convention and this charge is equal and opposite to the charge of a proton, which is considered to be positive by convent ...
interactions, which later formed the basis of
density functional theory Density functional theory (DFT) is a computational quantum mechanical modelling method used in physics, chemistry and materials science to investigate the electronic structure (or nuclear structure) (principally the ground state) of many-body ...
. The Thomas collapse is effect in few-body physics, which corresponds to infinite value of the three body
binding energy In physics and chemistry, binding energy is the smallest amount of energy required to remove a particle from a system of particles or to disassemble a system of particles into individual parts. In the former meaning the term is predominantly use ...
for zero-range potentials. In mathematics, his name is frequently attached to an efficient
Gaussian elimination In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. It consists of a sequence of row-wise operations performed on the corresponding matrix of coefficients. This method can a ...
method for tridiagonal matrices—the Thomas algorithm.


Notable publications

* * * * * * * * * * * * * *


Gallery

File:Nishina Thomas Hund 1926.jpg, Yoshio Nishina, Thomas, and
Friedrich Hund Friedrich Hermann Hund (4 February 1896 – 31 March 1997) was a German physicist from Karlsruhe known for his work on atoms and molecules. He is known for the Hund's rules to predict the electron configuration of chemical elements. His work on H ...
in Copenhagen in 1926 File:Thomas,Llewellyn 1963 Kopenhagen.jpg, Thomas in Copenhagen in 1963


See also

* Thomas–Fermi approximation


References


External links


Guide to the Llewellyn Hilleth Thomas Papers at the North Carolina State UniversityNA-Digest on the attribution of the Thomas Algorithm's name
{{DEFAULTSORT:Thomas, Llewellyn 1903 births 1992 deaths British emigrants to the United States People educated at Merchant Taylors' School, Northwood Alumni of the University of Cambridge Ohio State University faculty 20th-century British mathematicians Fellows of Trinity College, Cambridge Members of the United States National Academy of Sciences Fellows of the American Physical Society