Renormalization of the relativistic delta potential in one dimension

DOI10.1007/BF00750071zbMath0842.47043MaRDI QIDQ1900482

Rhonda J. Hughes

Publication date: 30 November 1995

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

zbMATH Keywords

renormalizationcoupling constantdelta-function potentialDirac equation in one dimensionrenormalized coupling constantstrong resolvent limits of selfadjoint operators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (4)

Relativistic point interactions: Approximation by smooth potentials ⋮ Renormalization of Coulomb interactions for the 1D Dirac equation ⋮ Relativistic Kronig-Penney-type Hamiltonians ⋮ Finite-rank perturbations of the Dirac operator

Cites Work

• Some remarks on the \(\delta\) '-interaction in one dimension
• New analytically solvable models of relativistic point interactions
• Dirac and Klein-Gordon equations: Convergence of solutions in the nonrelativistic limit
• A new class of point interactions in one dimension
• Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics
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