1980•Journal of Physics A Mathematical and GeneralOpen access

Frequency-dependent electric and magnetic multipole moments and Siegert's theorem

T. F. Meister, B. U. Felderhof

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Abstract

Discusses the definition of frequency-dependent electric and magnetic multipole moments. It is shown from classical electrodynamics that there are two types of magnetic multipole moments M E (lm omega ) and M M (lm omega ), defined as moments of the magnetisation with an electric or magnetic spherical vector wave as weight function. The moment M E (lm omega ) contributes to the emission of electric multipole radiation. The authors define quantum-mechanical multipole operators in correspondence with the classical case and discuss Siegert's theorem (1937).

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Discusses the definition of frequency-dependent electric and magnetic multipole moments. It is shown from classical electrodynamics that there are two types of magnetic multipole moments M E (lm omega ) and M M (lm omega ), defined as moments of the magnetisation with an electric or magnetic spherical vector wave as weight function. The moment M E (lm omega ) contributes to the emission of electric multipole radiation. The authors define quantum-mechanical multipole operators in correspondence with the classical case and discuss Siegert's theorem (1937).

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Available abstract

Discusses the definition of frequency-dependent electric and magnetic multipole moments. It is shown from classical electrodynamics that there are two types of magnetic multipole moments M E (lm omega ) and M M (lm omega ), defined as moments of the magnetisation with an electric or magnetic spherical vector wave as weight function. The moment M E (lm omega ) contributes to the emission of electric multipole radiation. The authors define quantum-mechanical multipole operators in correspondence with the classical case and discuss Siegert's theorem (1937).

Key concepts: Multipole expansion, Spherical multipole moments, Physics, Omega, Magnetic moment, Magnetization, Neutron magnetic moment, Quantum electrodynamics

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