On perturbations of the potential in the radial Dirac equation leading to multiplication of the spectral density by a~polynomial
Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 2, pp. 236-243
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Perturbating “potentials” are found, the addition of which to the radial Dirac equation
for particle with zero rest mass results in the multiplication of the spectral density
of the original Dirac operator by the polynomial with given zeros. The explicite expressions
for regular solutions of the perturbated equation are also obtained.
@article{TMF_1975_22_2_a8,
author = {M. N. Adamyan},
title = {On perturbations of the potential in the radial {Dirac} equation leading to multiplication of the spectral density by a~polynomial},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {236--243},
publisher = {mathdoc},
volume = {22},
number = {2},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a8/}
}
TY - JOUR AU - M. N. Adamyan TI - On perturbations of the potential in the radial Dirac equation leading to multiplication of the spectral density by a~polynomial JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1975 SP - 236 EP - 243 VL - 22 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a8/ LA - ru ID - TMF_1975_22_2_a8 ER -
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M. N. Adamyan. On perturbations of the potential in the radial Dirac equation leading to multiplication of the spectral density by a~polynomial. Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 2, pp. 236-243. http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a8/