Abstract
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 language | English |
|---|---|
| Journal | International Journal of Geometric Methods in Modern Physics |
| DOIs | |
| Publication status | Accepted/In press - 2016 |
Fingerprint
Keywords
- Lemaitre–Friedmann primordial atom
- Oscillating sphere
- superspace-time
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Classical and quantum dynamics of the sphere. / Lasukov, Vladimir; Moldovanova, Evgeniia Alexandrovna; Abdrashitova, Maria; Malik, Hitendra; Gorbacheva, Ekaterina.
In: International Journal of Geometric Methods in Modern Physics, 2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Classical and quantum dynamics of the sphere
AU - Lasukov, Vladimir
AU - Moldovanova, Evgeniia Alexandrovna
AU - Abdrashitova, Maria
AU - Malik, Hitendra
AU - Gorbacheva, Ekaterina
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Lemaitre–Friedmann primordial atom
KW - Oscillating sphere
KW - superspace-time
UR - http://www.scopus.com/inward/record.url?scp=84978153655&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84978153655&partnerID=8YFLogxK
U2 - 10.1142/S0219887816501176
DO - 10.1142/S0219887816501176
M3 - Article
AN - SCOPUS:84978153655
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
SN - 0219-8878
ER -