Bound state solutions of Dirac equation with repulsive scalar linear potential | Zendy

Hirokazu Tezuka | Zendy

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Bound state solutions of Dirac equation with repulsive scalar linear potential

Author(s) -

Hirokazu Tezuka

Publication year - 2015

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4928423

Subject(s) - bound state , dirac equation , scalar (mathematics) , scalar potential , physics , upper and lower bounds , quantum mechanics , sign (mathematics) , mathematical physics , mathematics , mathematical analysis , geometry

It is shown that the Dirac equation has bound-state solutions for a repulsive scalar linear potential. Analytical solutions exist when there exist certain quantitative relations between the strength constant a of the linear potential and the mass m of the particle, as shown in a previous case that examines the attractive scalar linear potential. The energies of the bound states and relations between a and m are the same as those of attractive potential except for the sign of a

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