Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Department: search.filters.department.İzmir Institute of Technology. MathematicsSubject: search.filters.subject.Relativistic

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  • Conference Object
    Citation - WoS: 1
    Citation - Scopus: 1
    The Newton-Wigner Localization Concept and Noncommutative Space
    (Springer Verlag, 2005) Mir-Kasimov, Rufat M.; Kasım, Rıfat Mir; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    In the formulation of the Newton-Wigner postulates for the relativistic localized states the hypothesis of commutativity of the position operator components is silently accepted as an evident fact. In the present work it is shown that commutativity is not necessary condition and the alternative (noncommutative) approach to the relativistic position operator and localization concept can be realized in a framework of the physically as well as mathematically comprehensive scheme.
  • Conference Object
    On Classical and Quantum Q-Oscillators in the Relativistic Theory
    (Springer Verlag, 2004) Mir-Kasimov, Rufat M.; Kasım, Rıfat Mir; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    The factorization method, applied to the finite-difference Schrödinger equation in the relativistic configurational space, allows to consider the q-deformations as a relativistic effect. In particular, different factorizations allow to obtain all known q-oscillators in a unified way. The classical limit of deformed Hamiltonians is investigated.