Information sheet ECTS Syllabus
Course syllabus D1-KVST - Quantum structures (FCE - 2018/2019 - post-graduate studies)
|University:||Slovak University of Technology in Bratislava|
|Faculty:||Faculty of Civil Engineering|
|Course unit code:||D1-KVST|
|Course unit title:||Quantum structures|
|Mode of delivery, planned learning activities and teaching methods:|
|Recommended semester/trimester:||Applied Mathematics - doctoral (semi-compulsory), 1. year|
Applied Mathematics (in english language) - doctoral (semi-compulsory), 1. year
|Level of study:||3.|
|Prerequisites for registration:||none|
|seminar project, exam|
|Learning outcomes of the course unit:|
|The aim of the subject is to bring the basic knowledge in the area of modern quantum theory of mathematical structures. It deals with non-compatible events and with their applications. It helps to understand the basic connections between the classical probability theory (all events are compatible) and quantum probability theory (accepting also non-compatible systems of events). More, it deals with the conditional probabilites in the framework of quantum probability theory.|
|- Orthomodular lattice (OML) as a basic model for non-compatible events.
- Observables (analogy of distribution functions in probability theory) for non-compatible events.
- Compatibility, centre, partitions into direct products, blocks, atoms.
- States and conditional states; asymmetric dependence and independence.
- Connections between the time dependent classical probability theory and the asymmetric distributions on orthomodular lattices.
|Recommended or required reading:|
|Language of instruction:||slovak and english or english|
|Assessed students in total: 0|
|Name of lecturer(s):||prof. RNDr. Martin Kalina, PhD. (examiner, instructor, lecturer, tutor) - slovak, english |
prof. RNDr. Radko Mesiar, DrSc. (person responsible for course)
|Last modification:||31. 8. 2015|
|Supervisor:||prof. RNDr. Radko Mesiar, DrSc. and programme supervisor|
Last modification made by Ing. Peter Korčák on 08/31/2015.