Renormalization of Dirac Delta Potentials Through Minimal Extension of Heisenberg Algebra

DOI10.1088/0253-6102/68/3/313zbMath1377.81114OpenAlexW2755476904MaRDI QIDQ4599931

Fatih Erman

Publication date: 5 January 2018

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11147/6697

zbMATH Keywords

renormalizationDirac delta potentialsminimal extension of Heisenberg algebra

Mathematics Subject Classification ID

Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Operator algebra methods applied to problems in quantum theory (81R15) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Cites Work

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• Regularization methods for delta-function potential in two-dimensional quantum mechanics
• Regularization and renormalization in scattering from Dirac delta potentials
• Effect of minimal lengths on electron magnetism
• On quantum field theory with nonzero minimal uncertainties in positions and momenta
• Minimal length uncertainty relation and the hydrogen atom
• A generalized bosonic oscillator in the presence of a minimal length
• Casimir effect in the presence of minimal lengths
• On the Invariant Regularization in Relativistic Quantum Theory
• On Gauge Invariance and Vacuum Polarization

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