Spectral Theory of the Operator p**2 m**1/2-Z e**2r

1977
10 pages
Published in:
  • Commun.Math.Phys. 53 (1977) 285-294

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Abstract: (Springer)
Using dilation invariance and dilation analytic techniques, and with the help of a new virial theorem, we give a detailed description of the spectral properties of the operator (p2+m2)1/2−Ze2/r. In the process the norm of the operator ∣x∣α∣p∣−α is calculated explicitly inLp(®N).
  • SYMMETRY: DILATION
  • ELECTROMAGNETIC FIELD
  • SPECTRAL REPRESENTATION
  • AXIOMATIC FIELD THEORY
  • Klein-Gordon equation
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