Phys. Rev. A 72, 044102 (2005) [3 pages]Spectral comparison theorem for the N-dimensional Dirac equationSee Also: Publisher's Note Received 5 April 2005; published 20 October 2005; corrected 25 October 2005 This Brief Report is concerned with the discrete spectrum of the N-dimensional Dirac equation. Through the spectral comparison theory demonstrated here the discrete spectrum is obtained approximately without actually having to solve the N-dimensional Dirac equation as well as the lower-dimensional cases. This comparison theorem states that if two time-independent attractive potentials are different such that Va≺Vb, the corresponding energy spectrum satisfies the inequality Ea≺Eb. As an illustrative example, the Hellmann potential is considered with the aid of the comparison theorem and potential envelope method. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.044102
DOI:
10.1103/PhysRevA.72.044102
PACS:
03.65.Pm
See AlsoPublisher's Note: Gang Chen, Publisher's Note: Spectral comparison theorem for the N-dimensional Dirac equation [Phys. Rev. A 72, 044102 (2005)], Phys. Rev. A 72, 059902 (2005). |
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