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Course Catalog 2011-2012
MAT-55216 Topics in applied mathematics, 3 cr
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Lessons
| Study type | P1 | P2 | P3 | P4 | Summer | Lecture times and places |
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Description:
Introduction to Quantum Structures (1 cr) Lectures Sept. 7, 8, 15 2011 1-4pm in TD 308, Sept 14 in TD 418 Various kinds of quantum structures will be introduced starting from Boolean algebras (they represent "classical" non-quantum model), namely orthomodular lattices, orthomodular posets, orthoalgebras and effect algebras (they are the most general structures considered in this lecture). Examples of these structures will be presented and relationships between them will be studied. States (measures) on quantum structures (including Jauch-Piron and subadditive states) and properties of the state space will be defined. Two main representations of quantum structures will be presented: graph orthogonality representations (so-called Greechie diagrams) and set representations (by a family of sets with set-theoretic operations). Basic properties of effect algebras will be derived (e.g. cancellation laws) and nonisotropic, sharp, principal and central elements will be studied.
Person responsible:
Esko Turunen
Assessment scale:
Numerical evaluation scale (1-5) will be used on the course
Additional information of course implementation:
Contact: Assoc. Prof. Esko Turunen, TD 405, esko.turunen@tut.fi