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ROTATING WAVE APPROXIMATION OF THE LAW'S EFFECTIVE HAMILTONIAN ON THE DYNAMICAL CASIMIR EFFECT

International College of Arts and Sciences, Yokohama City University, Yokohama 236-0027, Japan

and

Department of Mathematical Sciences, College of Systems Engineering and Science, Shibaura Institute of Technology, Saitama 337-8570, Japan

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https://doi.org/10.1142/S0219887814500030Cited by:5 (Source: Crossref)

Abstract

In this paper, we treat the Law's effective Hamiltonian of the dynamical Casimir effect (DCE) in a cavity and construct an analytic approximate solution of the time-dependent Schrödinger equation under the general setting through a kind of rotating wave approximation (RWA). To the best of our knowledge this is the finest analytic approximate solution.

Keywords:

AMSC: 20C35, 81R05, 81T55

References

V. V. Dodonov, Phys. Scripta 82, 038105 (2010), arXiv: 1004.3301. Web of Science, Google Scholar
C. K. Law, Phys. Rev. A 49, 309 (1994). Web of Science, Google Scholar
A. V. Dodonov and V. V. Dodonov, Phys. Rev. A 85, 063804 (2012), arXiv: 1112.0523. Web of Science, Google Scholar
K. Fujii and T. Suzuki, Int. J. Geom. Meth. Mod. Phys. 10, 1350035 (2013), arXiv: 1209.5133. Link, Web of Science, Google Scholar
W. P. Schleich , Quantum Optics in Phase Space ( Wiley-VCH , Berlin , 2001 ) . Google Scholar
E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963). Web of Science, Google Scholar
K. Fujii, Introduction to coherent states and quantum information theory, preprint (2001) , arXiv: quant-ph/0112090 . Google Scholar
K. Fujii , Advances in Quantum Mechanics , ed. P. Bracken ( InTech , 2013 ) , arXiv: 1209.1437 . Google Scholar
R. Endo, K. Fujii and T. Suzuki, Int. J. Geom. Meth. Mod. Phys. 5, 653 (2008), arXiv: 0710.2724. Link, Web of Science, Google Scholar
K. Fujii and T. Suzuki, Int. J. Geom. Meth. Mod. Phys. 6, 225 (2009), arXiv: 0806.2169. Link, Web of Science, Google Scholar
K. Fujii and T. Suzuki, Int. J. Geom. Meth. Mod. Phys. 8, 1799 (2011), arXiv: 1103.0329. Link, Web of Science, Google Scholar
K. Fujii and T. Suzuki, Int. J. Geom. Meth. Mod. Phys. 9, 1250036 (2012), arXiv: 1108.2322. Link, Web of Science, Google Scholar