TY - JOUR
T1 - Mechanical properties of the particle associated with the Laguerre-Gauss beams via the quantum potential point of view
AU - Silva-Ortigoza, Gilberto
AU - Ortiz-Flores, Jessica
AU - Sosa-Sanchez, Citlalli Teresa
AU - Silva-Ortigoza, Ramon
N1 - Publisher Copyright:
© 2022 Optica Publishing Group.
PY - 2023/1
Y1 - 2023/1
N2 - The aim of the present work is to show that the Laguerre-Gauss beams determine a Hamiltonian system with two degrees of freedom for a particle of mass m D1 under the action of the quantum potential determined by these beams. We show that the integral curves of the Poynting vector constitute a particular subset of solutions to the corresponding Hamilton equations and that the geometrical light rays associated with these twisted beams turn out to be the tangent straight lines to the exact optics energy trajectories at the zeroes of the quantum potential . By using theHamiltonian formulation, we determine the velocity, the linear momentum, the angular momentum, the torque, and the areal velocity characterizing the particle associated with the Laguerre-Gauss beams.
AB - The aim of the present work is to show that the Laguerre-Gauss beams determine a Hamiltonian system with two degrees of freedom for a particle of mass m D1 under the action of the quantum potential determined by these beams. We show that the integral curves of the Poynting vector constitute a particular subset of solutions to the corresponding Hamilton equations and that the geometrical light rays associated with these twisted beams turn out to be the tangent straight lines to the exact optics energy trajectories at the zeroes of the quantum potential . By using theHamiltonian formulation, we determine the velocity, the linear momentum, the angular momentum, the torque, and the areal velocity characterizing the particle associated with the Laguerre-Gauss beams.
UR - http://www.scopus.com/inward/record.url?scp=85145259012&partnerID=8YFLogxK
U2 - 10.1364/JOSAB.476782
DO - 10.1364/JOSAB.476782
M3 - Artículo
AN - SCOPUS:85145259012
SN - 0740-3224
VL - 40
SP - 215
EP - 223
JO - Journal of the Optical Society of America B: Optical Physics
JF - Journal of the Optical Society of America B: Optical Physics
IS - 1
ER -