Classical and Quantum Motion of Particles in Rindler Space

International Journal of Applied Physics

© 2020 by SSRG - IJAP Journal

Volume 7 Issue 1

Year of Publication : 2020

Authors : Sanchita Das, Somenath Chakrabarty

10.14445/23500301/IJAP-V7I1P106

How to Cite?

Sanchita Das, Somenath Chakrabarty, "Classical and Quantum Motion of Particles in Rindler Space," SSRG International Journal of Applied Physics, vol. 7,  no. 1, pp. 36-42, 2020. Crossref, https://doi.org/10.14445/23500301/IJAP-V7I1P106

Abstract:

In this article we have investigated both classical motion and quantum mechanical motion of a particle in the frame undergoing a uniform accelerated
motion. We have also studied the Bohr-Sommerfeld quantization problem in Rindler space and obtained the quantized energy eigen values. We have noticed that the quantized system behaves like a wave packet with the quadratic form of quantized energy eigenspectrum. We have further obtained the energy eigen values in Rindler space using Dirac notation for the eigen states of the particle by introducing creation and annihilation operators. In this case we have solved the energy eigen value problem using the first order time independent perturbation theory. For the sake of completeness, we have also investigated the motion of massless particles. It should be noted that in this article we have used the non-relativistic form of Rindler Hamiltonian.

Keywords:

Rindler space,Quantum mechanics,Uniformly accelerated frame,Unruh temperature,Hawking radiation.

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