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We study scattering theory for   2  N   parameter models of finitely many relativistic   δ  -sphere and   δ  -sphere plus Coulomb interactions. We provide the mathematical definitions of the Hamiltonians, solve the resolvent equations, and compute the nonrelativistic limits for both models. We obtain new results related to spectral properties and scattering data.

advances in mathematical physics

Scattering Theory for 2<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>N</mml:mi></mml:math>Parameter Models of Finitely Many Relativistic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>δ</mml:mi></mml:math>-Sphere and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>δ</mml:mi></mml:math>-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics

Scattering Theory for 2NParameter Models of Finitely Many Relativisticδ-Sphere andδ-Sphere plus Coulomb Interactions Supported by Concentric Spheres in Quantum Mechanics