The classical limit of minimal length uncertainty relation: revisit with the Hamilton-Jacobi method
- School of Science, Southwest University of Science and Technology, 59 Qinglong Road, Mianyang (China)
- Center for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu, 610064 (China)
The existence of a minimum measurable length could deform not only the standard quantum mechanics but also classical physics. The effects of the minimal length on classical orbits of particles in a gravitation field have been investigated before, using the deformed Poisson bracket or Schwarzschild metric. In this paper, we first use the Hamilton-Jacobi method to derive the deformed equations of motion in the context of Newtonian mechanics and general relativity. We then employ them to study the precession of planetary orbits, deflection of light, and time delay in radar propagation. We also set limits on the deformation parameter by comparing our results with the observational measurements. Finally, comparison with results from previous papers is given at the end of this paper.
- OSTI ID:
- 22667545
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 05; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
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