A computer algebra package for calculation of the energy density produced via the dynamical Casimir effect in one-dimensional cavities

Abstract

We present a Maple package for calculation of the exact value of the energy density for a real massless scalar quantum field in a two-dimensional space–time, inside a cavity with a moving mirror, arbitrary choices for the law of motion of the boundary and initial field state. Program summaryProgram title: DynamicCasimirPackageCatalogue identifier: AESR_v1_0Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AESR_v1_0.htmlProgram obtainable from: CPC Program Library, Queen’s University, Belfast, N. IrelandLicensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.htmlNo. of lines in distributed program, including test data, etc.: 1430No. of bytes in distributed program, including test data, etc.: 63390Distribution format: tar.gzProgramming language: Maple.Computer: Any computer running Maple 10 or later.Operating system: Any operating system running Maple 10 or later.RAM: (recommended): 4.0 GB or 6.0 GB MbClassification: 5, 11.4, 18.Nature of problem:Calculation of the exact value of the energy density for a real massless scalar quantum field in a two-dimensional space–time, inside a cavity with a moving boundary, arbitrary choices for the law of motion of the boundary and initial field state.Solution method:The routines are based on the exact numerical approach proposed by Cole and Schieve (Phys. Rev. A 52 (1995) 4005), and also on the extension of this approach to an arbitrary initial field state, developed by the present authors, in collaboration with Lima and Silva (Phys. Rev. D 81 (2010) 025016).Restrictions:One-dimensional cavities with just one moving boundary.Running time:Depends on the type of the problem (small ≈ seconds, large ≈ hours). The worksheet takes ≈30 min to execute.