Relativistic Kronig-Penney-type Hamiltonians

DOI10.1007/BF01228101zbMath0910.35106MaRDI QIDQ1264493

Rhonda J. Hughes

Publication date: 29 September 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorpoint interactions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

Dirac Operators on $$ \mathbb {R}$$ with General Point Interactions ⋮ The essential spectrum of one-dimensional Dirac operators with delta interactions ⋮ Dirac operators with periodic \(\delta\)-interactions: spectral gaps and inhomogeneous Diophantine approximation

Cites Work

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• Klein's paradox and the relativistic point interaction
• New analytically solvable models of relativistic point interactions
• Generalized Kronig-Penney Hamiltonians
• Relativistic point interaction
• A new class of point interactions in one dimension
• Renormalization of the relativistic delta potential in one dimension

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