Induced Casimir Force between Heavy Particles Substituted in an Oscillator Chain
F. Chegini, F. Kheirandish, M. Setare
Department of Physics, Faculty of Science, University of Kurdistan, P.O. Box 66177-15175, Sanandaj, Iran
Received: December 5, 2018; revised version March 27, 2019; in final form March 31, 2019
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The induced Casimir energy for a subsystem consisting of two heavy particles substituted at a finite distance in a linear chain of interacting oscillators is obtained. The heavy particles are linearly interacting with the nearest neighbor particles. A continuum modeling for the discrete case is considered and the corresponding Casimir energy is calculated. The result obtained from the continuum modeling agrees with the discrete model qualitatively.

PACS numbers: 42.50.Lc, 05.40.Jc, 03.70.+k