Analytical solutions of the Dirac equation with a scalar linear potential | Zendy

Hirokazu Tezuka | Zendy

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Analytical solutions of the Dirac equation with a scalar linear potential

Author(s) -

Hirokazu Tezuka

Publication year - 2013

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4820388

Subject(s) - scalar (mathematics) , dirac equation , scalar potential , polynomial , mathematical analysis , dirac (video compression format) , physics , mathematics , mathematical physics , quantum mechanics , geometry , neutrino

The Dirac equation with a scalar linear potential is solved analytically. Analytical solutions are shown to exist when there are some quantitative relations between the strength constant of the linear potential and the mass of the particle. The analytical solutions are assumed to be of asymptotic form times a polynomial expression for the radial coordinate r. Actual solutions are found up to the order of r5

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