Quantum radiation reaction force on a one-dimensional cavity with two relativistic moving mirrors
- Faculdade de Fisica, Universidade Federal do Para, 66075-110, Belem, PA (Brazil)
- Centro Brasileiro de Pesquisas Fisicas, Rua Dr. Xavier Sigaud, 150, 22290-180, Rio de Janeiro, RJ (Brazil)
- Instituto de Fisica, Universidade Federal do Rio de Janeiro, 21941-972, Rio de Janeiro (Brazil)
We consider a real massless scalar field inside a cavity with two moving mirrors in a two-dimensional spacetime, satisfying the Dirichlet boundary condition at the instantaneous position of the boundaries, for arbitrary and relativistic laws of motion. Considering vacuum as the initial field state, we obtain formulas for the exact value of the energy density of the field and the quantum force acting on the boundaries, which extend results found in previous papers [D. T. Alves, E. R. Granhen, H. O. Silva, and M. G. Lima, Phys. Rev. D 81, 025016 (2010); L. Li and B.-Z. Li, Phys. Lett. A 300, 27 (2002); L. Li and B.-Z. Li, Chin. Phys. Lett. 19, 1061 (2002); L. Li and B.-Z. Li, Acta Phys. Sin. 52, 2762 (2003); C. K. Cole and W. C. Schieve, Phys. Rev. A 64, 023813 (2001)]. For the particular cases of a cavity with just one moving boundary, nonrelativistic velocities, or in the limit of infinity length of the cavity (a single mirror), our results coincide with those found in the literature.
- OSTI ID:
- 21432929
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevD.82.045028; (c) 2010 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
BOUNDARY CONDITIONS
CAVITIES
DIRICHLET PROBLEM
ENERGY DENSITY
EQUATIONS OF MOTION
MIRRORS
RELATIVISTIC RANGE
SCALAR FIELDS
SPACE-TIME
TWO-DIMENSIONAL CALCULATIONS
VELOCITY
BOUNDARY-VALUE PROBLEMS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS