Context: In mathematics, a Lie group is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure. Lie groups are named after Sophus Lie, who laid the foundations of the theory of continuous transformation groups. The term "groupes de Lie" first appeared in French in 1893 in the thesis of Lies student Arthur Tresse., Theoretical physics is a branch of physics which employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experimental tools to probe these phenomena., Particle physics (also high energy physics) is the branch of physics that studies the nature of the particles that constitute "matter" (particles with mass) and "radiation" (massless particles). Although the word "particle" can refer to various types of very small objects (e.g. protons, gas particles, or even household dust), "particle physics" usually investigates the irreducibly smallest detectable particles and the irreducibly fundamental force fields necessary to explain them. By our current understanding, these elementary particles are excitations of the quantum fields that also govern their interactions. The currently dominant theory explaining these fundamental particles and fields, along with their dynamics, is called the Standard Model. Thus, modern particle physics generally investigates the Standard Model and its various possible extensions, e.g. to the newest "known" particle, the Higgs boson, or even to the oldest known force field, gravity., Charles Angas Hurst , AM , PhD , Hon DSc ( Melb ) ( 22 September 1923 -- 19 October 2011 ) was an Australian mathematical physicist noted for his work in Lattice models , Quantum field theory , Asymptotic expansions and Lie groups . His PhD was a seminal work on Quantum field theory , developing asymptotic expansions for perturbation expansions . In 1952 Hurst represented Australia in the inaugural International Mathematical Union . Hurst 's work with Herbert Green on lattice problems and the Ising model led to the Free fermion field model , which contained all known properties of Fermions at the time of its publication . Hurst 's work with Thirring ( Thirring model ) found the simplest non-linear field and is still used as a test model for perturbation theory ., Marius Sophus Lie ( 17 December 1842  18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous symmetry and applied it to the study of geometry and differential equations., Condensed matter physics is a branch of physics that deals with the physical properties of condensed phases of matter, where particles adhere to each other. Condensed matter physicists seek to understand the behavior of these phases by using physical laws. In particular, they include the laws of quantum mechanics, electromagnetism and statistical mechanics., The International Council for Science (ICSU, after its former name, International Council of Scientific Unions) is an international organization devoted to international cooperation in the advancement of science. Its members are national scientific bodies and international scientific unions. As of 2012, it comprises 120 multi-disciplinary National Scientific Members, Associates and Observers representing 140 countries and 31 international, disciplinary Scientific Unions. ICSU also has 22 Scientific Associates., In physics, quasiparticles and collective excitations (which are closely related) are emergent phenomena that occur when a microscopically complicated system such as a solid behaves "as if" it contained different weakly interacting particles in free space. For example, as an electron travels through a semiconductor, its motion is disturbed in a complex way by its interactions with all of the other electrons and nuclei; however it "approximately" behaves like an electron with a "different mass" (effective mass) traveling unperturbed through free space. This "electron" with a different mass is called an "electron quasiparticle". In another example, the aggregate motion of electrons in the valence band of a semiconductor is the same as if the semiconductor instead contained positively charged quasiparticles called holes. Other quasiparticles or collective excitations include phonons (particles derived from the vibrations of atoms in a solid), plasmons (particles derived from plasma oscillations), and many others., In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics. QFT treats particles as excited states of the underlying physical field, so these are called field quanta., In the physical sciences, subatomic particles are particles much smaller than atoms. There are two types of subatomic particles: elementary particles, which according to current theories are not made of other particles; and "composite" particles. Particle physics and nuclear physics study these particles and how they interact., The International Mathematical Union (IMU) is an international non-governmental organisation devoted to international cooperation in the field of mathematics across the world. It is a member of the International Council for Science (ICSU) and supports the International Congress of Mathematicians. Its members are national mathematics organizations from more than 80 countries., In quantum mechanics, an excited state of a system (such as an atom, molecule or nucleus) is any quantum state of the system that has a higher energy than the ground state (that is, more energy than the absolute minimum). Excitation is an elevation in energy level above an arbitrary baseline energy state. In physics there is a specific technical definition for energy level which is often associated with an atom being raised to an excited state. The temperature of a group of particles is indicative of the level of excitation (with the notable exception of systems that exhibit negative temperature)., Subject: charles angas hurst, Relation: occupation, Options: (A) mathematician (B) member (C) model (D) physics (E) science
Output: mathematician