The quantum formulation of a physical system is essentially based on the associated creation and annihilation operators. In this article, we introduce these ladder operators for a movement particle on the circle and 2-dimensional sphere by Berezin’s quantization .This approach is derived from the resolution of the unity condition in coherent states. In other words, the coherent states provide a straight forward quantization scheme from a classical state to corresponding quantum state. In this article, we study the coherent states of these systems from heat kernel function point of view.
Rezaei, S. & Rabeie, A. (2021). Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere. Iranian Journal of Physics Research, 21(1), 181–187. https://doi.org/10.47176/ijpr.21.1.51054
MLA
Rezaei, S., & Rabeie, A. "Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere", Iranian Journal of Physics Research, 21, 1, 2021, 181–187. doi: 10.47176/ijpr.21.1.51054
HARVARD
Rezaei, S., & Rabeie, A. (2021). 'Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere', Iranian Journal of Physics Research, 21(1), pp. 181–187. doi: 10.47176/ijpr.21.1.51054
CHICAGO
Rezaei, S. & Rabeie, A., "Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere." Iranian Journal of Physics Research, 21 1 (2021): 181–187, doi: 10.47176/ijpr.21.1.51054
VANCOUVER
Rezaei S., Rabeie A. Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere. Iranian Journal of Physics Research. 2021;21(1):181–187 (In Persian). doi: 10.47176/ijpr.21.1.51054
