Quantum vacuum torque on a bi-anisotropic absorbing magneto-dielectric cylindrical shell co-axis with a perfectly conductor cylindrical shell. (English) Zbl 1471.81090
Summary: A fully canonical quantization of electromagnetic field in the presence of a bi-anisotropic absorbing magneto-dielectric cylindrical shell is provided. The mode expansions of the dynamical quantum fields, contained in the theory, is achieved and the ladder operators of the system are introduced. Using the Frobenius’s series technique, the Maxwell’s equations in the presence of the bi-anisotropic absorbing magneto-dielectric cylindrical shell are solved and the space – time dependence of the quantized electromagnetic field is obtained. Applying the conservation principle of the angular momentum, the net quantum vacuum torque exerted on the bi-anisotropic absorbing magneto-dielectric cylindrical shell is calculated. The net quantum vacuum torque exerted on the cylindrical shell is calculated in the vacuum state and the thermal state of the system. The quantum vacuum torque on the cylindrical shell identically vanishes when the bi-anisotropic absorbing magneto-dielectric cylindrical shell is converted to an isotropic one.
MSC:
| 81T70 | Quantization in field theory; cohomological methods |
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
| 81R05 | Finite-dimensional groups and algebras motivated by physics and their representations |
| 81Q12 | Nonselfadjoint operator theory in quantum theory including creation and destruction operators |
| 41A58 | Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) |
| 33C10 | Bessel and Airy functions, cylinder functions, \({}_0F_1\) |
| 74F15 | Electromagnetic effects in solid mechanics |
Keywords:
canonical quantization; conservation principle of angular momentum; quantum vacuum torque; Frobenius’s series; Bessel functionsReferences:
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