Relativistic quantum bouncing particles in a homogeneous gravitational field

Ar Rohim, Kazushige Ueda, Kazuhiro Yamamoto, Shih Yuin Lin

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this paper, we study the relativistic effect on the wave functions for a bouncing particle in a gravitational field. Motivated by the equivalence principle, we investigate the Klein-Gordon and Dirac equations in Rindler coordinates with the boundary conditions mimicking a uniformly accelerated mirror in Minkowski space. In the nonrelativistic limit, all these models in the comoving frame reduce to the familiar eigenvalue problem for the Schrödinger equation with a fixed floor in a linear gravitational potential, as expected. We find that the transition frequency between two energy levels of a bouncing Dirac particle is greater than the counterpart of a Klein-Gordon particle, while both are greater than their nonrelativistic limit. The different corrections to eigen-energies of particles of different nature are associated with the different behaviors of their wave functions around the mirror boundary.

Original languageEnglish
Article number2150098
JournalInternational Journal of Modern Physics D
Issue number13
Publication statusPublished - Oct 1 2021

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science


Dive into the research topics of 'Relativistic quantum bouncing particles in a homogeneous gravitational field'. Together they form a unique fingerprint.

Cite this