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Effect of the Acceleration of the Rindler Spacetime on the Statistical Properties of the Klein–Gordon Oscillator in One Dimension

Tarek Imed Rouabhia, Abdelmalek Boumali, H. Hassanabadi

2023Physics of Particles and Nuclei Letters10 citationsDOI

Abstract

Abstract In this paper, we study the relativistic spin-zero bosons influenced by the Klein–Gordon oscillator in Rindler space-time. The obtained form of the energy level of the oscillator is used to find the thermodynamic properties through the partition function. This partition function is terminated by using the method based on the zeta function via the Cahin–Mellin transformation. Through this function, all thermodynamics properties, such as the free energy, the total energy, the entropy, and the specific heat, have been determined and the influence of the acceleration of our spacetime has been treated.

Topics & Concepts

PhysicsPartition function (quantum field theory)SpacetimeMathematical physicsBosonEntropy (arrow of time)Klein–Gordon equationQuantum mechanicsNonlinear systemQuantum Electrodynamics and Casimir EffectAdvanced Mathematical Theories and ApplicationsCosmology and Gravitation Theories
Effect of the Acceleration of the Rindler Spacetime on the Statistical Properties of the Klein–Gordon Oscillator in One Dimension | Litcius