Reply to 'Comment on 'Zero-range potentials for Dirac particles: Scattering and related continuum problems''

Journal Article · Tue Feb 14 23:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.026702· OSTI ID:20974658

Szmytkowski, Radoslaw ^[1]

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1. Atomic Physics Division, Department of Atomic Physics and Luminescence, Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Narutowicza 11/12, PL 80-952 Gdansk (Poland)

We disprove the critique of our recent work [R. Szmytkowski, Phys. Rev. A 71, 052708 (2005)] contained in the Comment by Coutinho and Nogami [Phys. Rev. A 73, 026701 (2006)]. We show that the model of zero-range potentials for scattering processes involving Dirac particles, proposed by us in the aforementioned work, admits a definition of a scalar product under which the plane-wave excited scattering wave function is normalizable to the Dirac delta function in the momentum space. In addition, we prove that the eigenchannel wave functions, introduced in the aforementioned paper, are orthogonal with respect to that scalar product.

• OSTI ID: 20974658
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 73; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DELTA FUNCTION
DIRAC EQUATION
EIGENFUNCTIONS
EIGENVALUES
PARTICLES
POTENTIALS
SCATTERING
WAVE FUNCTIONS
WAVE PROPAGATION