scholarly journals Canonical Quantization of Electromagnetic Field in the Presence of Nonlinear Anisotropic Magnetodielectric Medium with Spatial-Temporal Dispersion

2016 ◽  
Vol 55 (8) ◽  
pp. 3761-3776 ◽  
Author(s):  
M. Amooshahi
Keyword(s):  
Electromagnetic Field ◽  
Canonical Quantization ◽  
Temporal Dispersion

Quantum vacuum torque on a bi-anisotropic absorbing magneto-dielectric cylindrical shell co-axis with a perfectly conductor cylindrical shell

2019 ◽  
Vol 34 (26) ◽  
pp. 1950149
Author(s):  
Marzieh Hossein Zadeh ◽  
Majid Amooshahi
Keyword(s):  
Cylindrical Shell ◽  
Electromagnetic Field ◽  
Angular Momentum ◽  
Thermal State ◽  
Canonical Quantization ◽  
Vacuum State ◽  
Quantum Vacuum ◽  
Ladder Operators ◽  
Quantized Electromagnetic Field ◽  
Series Technique

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.

The interaction of molecular multipoles with the electromagnetic field in the canonical formulation of non-covariant quantum electrodynamics

1970 ◽  
Vol 319 (1539) ◽  
pp. 549-563 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Physical Interpretation ◽  
Quantum Electrodynamics ◽  
Unitary Transformation ◽  
Canonical Quantization ◽  
Multipole Moments ◽  
Gauge Invariant ◽  
Covariant Quantum ◽  
Canonical Formulation ◽  
Gauge Conditions

The procedure devised by Dirac for the canonical quantization of systems described by degenerate lagrangians is used to construct the hamiltonian for molecules interacting with the electromagnetic field. The hamiltonian obtained is expressed in terms of the gauge invariant field strengths and the electric and magnetic multipole moments of the molecules. The Coulomb gauge is introduced but other gauge conditions could be used. Finally, a physical interpretation of the unitary transformation that may be used to generate the multipole hamiltonian is given.

NONRELATIVISTIC QUANTUM FORMALISM FOR ELECTROMAGNETIC INTERACTION OF ANYONS IN THE U(1)×U(1) GAUGE MODEL

1996 ◽  
Vol 11 (05) ◽  
pp. 921-940 ◽  
Author(s):  
A. FOUSSATS ◽  
C. REPETTO ◽  
O.P. ZANDRON ◽  
O.S. ZANDRON ◽  
E. MANAVELLA
Keyword(s):  
Electromagnetic Field ◽  
Electromagnetic Interaction ◽  
Canonical Quantization ◽  
Matter Field ◽  
Integral Approach ◽  
Gauge Model ◽  
Nonrelativistic Quantum ◽  
Quantum Formalism ◽  
Feynman Rules ◽  
Dirac Formalism

Starting from the U (1)× U (1) classical gauge model for the nonrelativistic electromagnetic interaction of anyons, the quantum formalism is constructed. This gauge model containing the statistical U(1) field and the electromagnetic field can be coupled to both, a commuting or an anticommuting matter field. We explicitly consider the second case, i.e. a fermionic anyon system in the presence of an electromagnetic field, and we carry out the canonical quantization by following the Dirac formalism. Later on, the path integral approach is developed and the diagrammatic and Feynman rules, in the framework of the perturbation theory, are discussed. Finally, as an alternative method, the BRST formalism for this gauge model is also treated.

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