Schrödinger equation of a particle in a uniformly accelerated frame and the possibility of a new kind of quanta-Reference-Cited by-同舟云学术

Schrödinger equation of a particle in a uniformly accelerated frame and the possibility of a new kind of quanta

Published:2015-11-23 Issue:38 Volume:30 Page:1550182
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

De Sanchari¹,Ghosh Sutapa²,Chakrabarty Somenath¹

Affiliation:

1. Department of Physics, Visva-Bharati, Santiniketan 731235, India

2. Department of Physics, Barasat Govt. College, Barasat 700124, India

Abstract

In this paper, we have developed a formalism to obtain the Schrödinger equation for a particle in a frame undergoing a uniform acceleration in an otherwise flat Minkowski spacetime geometry. We have presented an exact solution of the equation and obtained the eigenfunctions and the corresponding eigenvalues. It has been observed that the Schrödinger equation can be reduced to a one-dimensional hydrogen atom problem. Whereas, the quantized energy levels are exactly identical with that of a one-dimensional quantum harmonic oscillator. Hence, considering transitions, we have predicted the existence of a new kind of quanta, which will either be emitted or absorbed if the particles get excited or de-excited, respectively.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732315501825

Reference11 articles.

1. CONSTANT ELECTROMAGNETIC FIELDS

2. Electromagnetism as a second-order effect

3. Quantum Fields in Curved Space

4. Classical relativistic ideal gas in thermodynamic equilibrium in a uniformly accelerated reference frame

5. Particle creation in an asymptotically uniformly accelerated frame

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