Quadratic relativistic invariant and metric form in quantum mechanics

  title={Quadratic relativistic invariant and metric form in quantum mechanics},
  author={Jean-Claude Pissondes},
  • Jean-Claude Pissondes
  • Published 1999
The Klein–Gordon equation is recovered in the framework of the theory of scalerelativity, first in the absence, then in the presence of an electromagnetic field. In this framework, spacetime at quantum scales is characterized by non-differentiability and continuity, which involves the introduction of explicit resolution-dependent fractal coordinates. Such a description leads to the notion of scale-covariance and its corresponding tool, a scale-covariant ; derivative operator d/ds. Due to it… CONTINUE READING

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Publications referenced by this paper.
Showing 1-7 of 7 references

Relativity in general E.R.E

  • L Nottale
  • J Diaz Alonso and M Lorente Paramo,
  • 1994
Highly Influential
7 Excerpts

1993Fractal Space-Time and Microphysics (Singapore: World Scientific

  • L Nottale
  • 1993
Highly Influential
10 Excerpts

Clustering in the Universe15th Moriond Astrophysics Meeting (Fronti

  • L Nottale
  • ères,
  • 1995

Stochastic Differential Equations and Diffusion Processes 2nd edn (Amsterdam: North-Holland

  • N Ikeda, S Watanabe
  • 1989
2 Excerpts

Stochastic theory for classical and quantum mechanical systems Found

  • L delaPena-Auerbach, M CettoA
  • Phys .
  • 1975

1965Quantum Mechanics and Path Integrals (New York: MacGraw-Hill

  • R HFeynman, A RHibbs
  • 1965
2 Excerpts

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