Matematičke formulacije principa neodređenosti

Radulović, Marko (2014) Matematičke formulacije principa neodređenosti. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

The uncertainty principle was first formulated by W. Heisenberg in the year 1927, which showed that certain physical values such as the position and the momentum of a particle, and also the time and the energy, cannot be specified with an arbitrary precision, something that was far from experiences in physics before the principle was discovered. In the same year, Kennard showed the same principle using a rigorous mathematical formalism, which has motivated further research of the principle in many different mathematical contexts. Using the fundamental results of Fourier analysis, and respecting the mathematical formalism of quantum mechanics, we present many different formulations of the uncertainty principle. We observe the principle for a single function – its qualitative, quantitative, operator and entropic formulations, for Gabor and wavelet systems of functions, and finally, generally for finite abelian groups, and more specifically for cyclic groups of prime order.

Item Type: Thesis (Diploma thesis)
Supervisor: Kovač, Vjekoslav
Date: 2014
Number of Pages: 54
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 07 Jul 2015 11:34
Last Modified: 07 Jul 2015 11:34
URI: http://digre.pmf.unizg.hr/id/eprint/4098

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