Completeness of scattering states of the Dirac Hamiltonian with a step potential

M. Ochiai, H. Nakazato

研究成果: Article査読

抄録

The completeness, together with the orthonormality, of the eigenfunctions of the Dirac Hamiltonian with a step potential is shown explicitly. These eigenfunctions describe the scattering process of a relativistic fermion off the step potential and the resolution of the identity in terms of them (completeness) is shown by explicitly summing them up, where appropriate treatments of the momentum integrations are crucial. The result would bring about a basis on which a field theoretical treatment for such a system can be developed.

本文言語English
論文番号015006
ジャーナルJournal of Physics Communications
2
1
DOI
出版ステータスPublished - 2018 1月

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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