| | Encyclopedia :: encyclopedia : Mathematical physics (Site not responding. Last check: 2007-11-06) |
 | | The field has concentrated in three main areas: (1) quantum field theory, especially the precise construction of models; (2) statistical mechanics, especially the theory of phase transitions; and (3) nonrelativistic quantum mechanics (Schrödinger operators), including the connections to atomic and molecular physics. |
 | | It is not surprising, then, that its developed version under the name of quantum field theory is one of the most abstract, mathematically-based areas of the physical sciences, dealing with algebraic structures such as Lie Algebras - a topic of which ordinary physicists are often ignorant. |
 | | Among the most relevant areas of contemporary mathematics in mathematically rigorous physics research are functional analysis and probability theory. |
| www.hallencyclopedia.com /Mathematical_physics (573 words) |