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Spectral theory of the operator (p 2+m 2)1/2Ze 2/r

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Abstract

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 (p 2+m 2)1/2Ze 2/r. In the process the norm of the operator ∣x∣α∣p−α is calculated explicitly inL pN).

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Communicated by W. Hunziker

Supported in part by NSF Grant MPS 74 22844

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Herbst, I.W. Spectral theory of the operator (p 2+m 2)1/2Ze 2/r . Commun.Math. Phys. 53, 285–294 (1977). https://doi.org/10.1007/BF01609852

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  • DOI: https://doi.org/10.1007/BF01609852

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