Jean-Marie Souriau
Encyclopedia
Jean-Marie Souriau is a French
mathematician
, known for works in symplectic geometry, in which he is one of the pioneers. He has published several works, a treatise on relativity
[Sou64b] and a treatise on mechanics: [Sou70]. He has developed the symplectic aspects of classical and quantum mechanics
. His work includes the first geometric interpretation of spin
, and many important concepts, such as: the coadjoint action of a group
on its moment space, the moment map, prequantization (geometric quantization
), the classification of the homogeneous
symplectic manifold
s, diffeological spaces and many others.
He was educated at the École Normale Supérieure
in Paris, and spent most of his career as a Professor of Mathematics at the University of Provence
in Marseille.
French people
The French are a nation that share a common French culture and speak the French language as a mother tongue. Historically, the French population are descended from peoples of Celtic, Latin and Germanic origin, and are today a mixture of several ethnic groups...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, known for works in symplectic geometry, in which he is one of the pioneers. He has published several works, a treatise on relativity
Theory of relativity
The theory of relativity, or simply relativity, encompasses two theories of Albert Einstein: special relativity and general relativity. However, the word relativity is sometimes used in reference to Galilean invariance....
[Sou64b] and a treatise on mechanics: [Sou70]. He has developed the symplectic aspects of classical and quantum mechanics
Quantum mechanics
Quantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...
. His work includes the first geometric interpretation of spin
Spin (physics)
In quantum mechanics and particle physics, spin is a fundamental characteristic property of elementary particles, composite particles , and atomic nuclei.It is worth noting that the intrinsic property of subatomic particles called spin and discussed in this article, is related in some small ways,...
, and many important concepts, such as: the coadjoint action of a group
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element. To qualify as a group, the set and the operation must satisfy a few conditions called group axioms, namely closure, associativity, identity...
on its moment space, the moment map, prequantization (geometric quantization
Geometric quantization
In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory. It attempts to carry out quantization, for which there is in general no exact recipe, in such a way that certain analogies between the classical theory...
), the classification of the homogeneous
Homogeneous space
In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non-empty manifold or topological space X on which G acts continuously by symmetry in a transitive way. A special case of this is when the topological group,...
symplectic manifold
Symplectic manifold
In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2-form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology...
s, diffeological spaces and many others.
He was educated at the École Normale Supérieure
École Normale Supérieure
The École normale supérieure is one of the most prestigious French grandes écoles...
in Paris, and spent most of his career as a Professor of Mathematics at the University of Provence
University of Provence
The University of Provence Aix-Marseille I is a public university mostly located in Aix-en-Provence and Marseille. It is one of the three Universities of Aix-Marseille and is part of the Academy of Aix and Marseille.-Overview:...
in Marseille.
External links
- Jean-Marie Souriau official website
- Review by Mark Roberts of Sou97
- Ray F. StreaterRay StreaterRay F. Streater is a British physicist, and professor emeritus of Applied Mathematics at King's College London. He is best known for co-authoring a text on quantum field theory, the 1964 "PCT, Spin and Statistics and All That."- Life :...
: Souriau - Patrick Iglesias-Zemmour: Souriau
- Photo: photo
