Classical and quantum dynamics of the sphere

Vladimir Lasukov, Evgeniia Alexandrovna Moldovanova, Maria Abdrashitova, Hitendra Malik, Ekaterina Gorbacheva

Результат исследований: Материалы для журналаСтатья


In Minkowski space, there has been developed the mathematic quantum model of the real particle located on the sphere evolving owing to the negative pressure inside the sphere. The developed model is analogous to the geometrodynamic model of the Lemaitre–Friedmann primordial atom in superspace-time, whose spatial coordinate is the scale factor functioning as a radial coordinate. There is a formulation of quantum geometrodynamics in which the spatial coordinate is an offset of the scale factor and wave function at the same time. With the help of the Dirac procedure for extracting the root from the Hamiltonian operator we have constructed a Dirac quantum dynamics of the sphere with fractional spin.

Язык оригиналаАнглийский
ЖурналInternational Journal of Geometric Methods in Modern Physics
СостояниеПринято/в печати - 2016

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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