The Fourier transform of confining potentials
The precise meaning of the Fourier transform of ‖x‖ν is examined. A general expression is given for real positive ν. For odd ν, derivatives of principal value integrals are obtained, while even ν gives rise to derivatives of the delta function.
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| Veröffentlicht in: | J. Math. Phys. (N.Y.); (United States) 1986-04, Vol.27 (4), p.936-937 |
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| container_end_page | 937 |
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| container_issue | 4 |
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| container_title | J. Math. Phys. (N.Y.); (United States) |
| container_volume | 27 |
| creator | Heiss, W. D. Welke, G. M. |
| description | The precise meaning of the Fourier transform of ‖x‖ν is examined. A general expression is given for real positive ν. For odd ν, derivatives of principal value integrals are obtained, while even ν gives rise to derivatives of the delta function. |
| doi_str_mv | 10.1063/1.527166 |
| format | Article |
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| identifier | ISSN: 0022-2488 |
| ispartof | J. Math. Phys. (N.Y.); (United States), 1986-04, Vol.27 (4), p.936-937 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_7947859 |
| source | AIP Digital Archive |
| subjects | 645400 - High Energy Physics- Field Theory 658000 - Mathematical Physics- (-1987) CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ELEMENTARY PARTICLES Exact sciences and technology FIELD THEORIES FOURIER TRANSFORMATION Function theory, analysis GLUONS INTEGRAL TRANSFORMATIONS Mathematical methods in physics Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POSTULATED PARTICLES POTENTIALS QUANTUM CHROMODYNAMICS QUANTUM FIELD THEORY QUARKS TRANSFORMATIONS |
| title | The Fourier transform of confining potentials |
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