Artículos de revistas
Multipole expansion of electrostatic magnetostatic fields
Autor
TORRES DEL CASTILLO, G. F.
Institución
Resumen
LOS MOMENTOS MULTIPOLARES DE UN CAMPO ELECTROSTÁTICO O MAGNETOSTÁTICO Y LAS COMPONENTES DEL CAMPO MISMO SE EXPRESAN EN TÉRMINOS DE ESPINORES DE DOS COMPONENTES Y DE ARMÓNICOS ESFÉRICOS CON PESO DE ESPÍN, OBTENIÉNDOSE LA CORRESPONDENCIA ENTRE LAS COMPONENTES CARTESIANAS Y ESFÉRICAS. SE MUESTRA QUE EL MOMENTO 2L-POLAR DE UNA DISTRIBUCIÓN DE CARGA O DE CORRIENTE DEFINE L DIRECCIONES, NO NECESARIAMENTE DISTINTAS, LAS CUALES DETERMINAN LA DEPENDENCIA ANGULAR DEL CAMPO MULTIPOLAR.AbstractTHE MULTIPOLE MOMENTS OF AN ELECTROSTATIC OR MAGNETOSTATIC FIELD AND THE COMPONENTS OF THE FIELD ITSELF ARE EXPRESSED IN TERMS OF TWOCOMPONENT SPINOR AND OF SPIN-WEIGHTED SPHERICAL HARMONICS, OBTAINING THE CORRESPONDENCE BETWEEN THE CARTESIAN AND SPHERICAL COMPONENTS. IT IS SHOWN THAT THE 2L-POLE MOMENT OF A CHARGE OR CURRENT DISTRIBUTION DEFINES L, NOT NECESSARILY DISTINCT, DIRECTIONS WHICH DETERMINE THE ANGULAR DEPENDENCE OF THE MULTIPOLE FIELD. THE MULTIPOLE MOMENTS OF AN ELECTROSTATIC OR MAGNETOSTATIC FIELD AND THE COMPONENTS OF THE FIELD ITSELF ARE EXPRESSED IN TERMS OF TWOCOMPONENT SPINOR AND OF SPIN-WEIGHTED SPHERICAL HARMONICS, OBTAINING THE CORRESPONDENCE BETWEEN THE CARTESIAN AND SPHERICAL COMPONENTS. IT IS SHOWN THAT THE 2L-POLE MOMENT OF A CHARGE OR CURRENT DISTRIBUTION DEFINES L, NOT NECESSARILY DISTINCT, DIRECTIONS WHICH DETERMINE THE ANGULAR DEPENDENCE OF THE MULTIPOLE FIELD.