Relativistic Potential Scattering

DOI10.1063/1.1704033zbMath0128.22004OpenAlexW2017337277MaRDI QIDQ5336170

Reese T. Prosser

Publication date: 1963

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1704033

zbMATH Keywords

quantum theory

Related Items (22)

Unnamed Item ⋮ The nonrelativistic limit of modified wave operators for Dirac operators ⋮ The propagator of the radial Dirac equation ⋮ The existence of wave operators in scattering theory ⋮ Scattering theory for Dirac operators ⋮ Wave operators for pairs of spaces and the Klein-Gordon equation ⋮ Dirac and Klein-Gordon equations: Convergence of solutions in the nonrelativistic limit ⋮ Spectral theory of Dirac operators with potentials diverging at infinity ⋮ Spectral and scattering theory for the Klein-Gordon equation ⋮ Holomorphy of the scattering matrix with respect to \(c^{-2}\) for Dirac operators and an explicit treatment of relativistic corrections ⋮ Spectral and scattering theory for Dirac operators ⋮ Relativistic correlations for the scattering matrix for spherically symmetric potentials ⋮ Nonhomogeneous elliptic systems and scattering ⋮ Eigenfunction expansions for Schrödinger and Dirac operators with singular potentials ⋮ Eigenfunction expansions and scattering theory for Dirac operators ⋮ Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms ⋮ An application of the maximum principle to the study of essential self-adjointness of Dirac operators. I ⋮ Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some essentially self-adjoint Dirac operators with spherically symmetric potentials ⋮ On the existence of wave operators for Dirac operators

Cites Work

• Perturbation of continuous spectra by unbounded operators. I
• A note on Cook's wave-matrix theorem
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• On the existence and the unitary property of the scattering operator
• Group Theoretical Discussion of Relativistic Wave Equations

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