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Remarks about the Klein paradox (in German)

Journal Article · · European Physical Journal. A
DOI:https://doi.org/10.1007/BF01379347· OSTI ID:4699571
 [1];  [1];  [1]
  1. Univ. of Frankfurt (Germany). Inst. for Theoretical Physics
The problem of stationary energy eigenstates of relativistic spin 1/2- particles in external potentials exceeding twice the particles rest mass (Klein's paradox) was investigated, neglecting the interaction of the particles with the radiation field. This corresponded to the H 0 of the "bound state interaction representation'' in quantum electrodynamics. For simplicity, explicit calculations are based on a one dimensional square well potential. In potentials of this type which vanish at infinity and which do not become critically singular nt the origin there always exists a stationary ground state of fixed total charge. Though this state cannot be attributed to a sharp number of particles, no real paradox occurs.
Research Organization:
Universitat, Frankfurt am Main
Sponsoring Organization:
USDOE
NSA Number:
NSA-17-011580
OSTI ID:
4699571
Journal Information:
European Physical Journal. A, Journal Name: European Physical Journal. A Journal Issue: 1 Vol. 171; ISSN 1434-6001
Publisher:
Springer
Country of Publication:
Country unknown/Code not available
Language:
German

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