Course Catalog 2011-2012
Postgraduate

Basic Pori International Postgraduate Open University

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Course Catalog 2011-2012

MAT-55216 Topics in applied mathematics, 3 cr
Topics in applied mathematics
MAT-55216 2011-01

Lessons

Study type P1 P2 P3 P4 Summer Lecture times and places
Lectures
 12 h/per

 

 

 

 
Wednesday 13 - 16, Td308
Thursday 13 - 16, Td308
Wednesday 13 - 16, Td418


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

Target groups:

DI-Opiskelijat
International Students
Jatko-opiskelijat
Kandiopiskelijat
Teknis-luonnontieteellinen koulutusohjelma

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