Classical and quantum dynamics of the sphere

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

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
JournalInternational Journal of Geometric Methods in Modern Physics
Publication statusAccepted/In press - 2016


  • Lemaitre–Friedmann primordial atom
  • Oscillating sphere
  • superspace-time

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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