publication . Preprint . Other literature type . Article . 2017

Some clarifications about the Bohmian geodesic deviation equation and Raychaudhuri’s equation

Faramarz Rahmani; Mehdi Golshani;
Open Access English
  • Published: 24 Jun 2017
Abstract
<jats:p> One of the important and famous topics in general theory of relativity and gravitation is the problem of geodesic deviation and its related singularity theorems. An interesting subject is the investigation of these concepts when quantum effects are considered. Since the definition of trajectory is not possible in the framework of standard quantum mechanics (SQM), we investigate the problem of geodesic equation and its related topics in the framework of Bohmian quantum mechanics in which the definition of trajectory is possible. We do this in a fixed background and we do not consider the backreaction effects of matter on the space–time metric. </jats:p>
Subjects
free text keywords: General Relativity and Quantum Cosmology, Quantum Physics, Nuclear and High Energy Physics, Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Gravitation, Singularity, Physics, Trajectory, Classical mechanics, General relativity, Geodesic deviation, Mathematical analysis, Quantum electrodynamics, Geodesic
Related Organizations
18 references, page 1 of 2

1. Das, S. Quantum Raychaudhuri equation. PHYSICAL REVIEW D 89, 084068 (2014).

2. Bohm, D., A suggested interpretation of quantum theory in terms of hidden variables I and II. Phys.Rev. 85(2) (1952) 166-193

3. Holland P. R. ,The Quantum Theory of Motion. Cambridge, Cambridge University Press (1993)

4. Bohm, D and Hiley,B.J, The undivided universe:An ontological interpretation of quantum theory. Routledge, (1993)

5. Du¨rr, D., Goldstein, S., Zanghi, N., Quantum physics without quantum phylosophy, Springer, (2013)

6. Atiq M , Karamian M and Golshani M., A New Way for the Extension of Quantum Theory: NonBohmian Quantum Potentials, Found. Phys.39 (2009) 33-44

7. Atiq M , Karamian M and Golshani M., A Quasi-Newtonian Approach to Bohmian Mechanics I: Quantum Potential, Ann. de la Fond. Louis de Broglie.34 (2009) 67-81

8. Rahmani F, Golshani M. Deriving relativistic Bohmian quantum potential using variational method and conformal transformations. Pramana journal of physics. Volume 86, Issue 4, pp 747761 , April (2016)

9. Wald, R. General relativity, University of Chicago Press, (1984).

10. Carroll, S.M , Spacetime and Geometry:An Introduction to General Relativity. Addison Wesley, (2003).

11. Poisson, E. A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics. Cambridge University Press. (2004).

12. Padmanabhan. T, GRAVITATION Foundations and Frontiers. Cambridge University Press. (2010).

13. Shojai. F, Golshani. M, ON THE GEOMETRIZATION OF BOHMIAN MECHANICS: A NEW APPROACH TO QUANTUM GRAVITY, International Journal of Modern Physics A, Vol. 13, No. 4 677- 693, (1998)

14. Hiley. B.J, Callaghan. R.E, Clifford Algebras and the Dirac-Bohm Quantum Hamilton-Jacobi Equation Found Phys 42:192208. (2012)

15. Doran .C , Lasenby. A, Geometric Algebra for Physicists. Cambridge university press. (2003).

18 references, page 1 of 2
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue