On Convergence of the Schwinger–De Witt Expansion

DOI10.1142/S0217732397003010zbMath0906.35081arXivhep-th/9710143MaRDI QIDQ4212109

V. A. Slobodenyuk

Publication date: 26 October 1998

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9710143

zbMATH Keywords

convergenceSchrödinger equationcoupling constantevolution operator kernelSchwinger-De Witt expansion

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)

Cites Work

• Asymptotic behavior of the evolution operator kernel expansion in powers of the time interval \(\Delta t\)
• Investigating the convergence of Schwinger-de Witt expansions for various potentials
• ON THE EVOLUTION OPERATOR KERNEL FOR THE COULOMB AND COULOMB-LIKE POTENTIALS
• Time evolution kernels: uniform asymptotic expansions
• A phase-space technique for the perturbation expansion of Schrödinger propagators
• On Gauge Invariance and Vacuum Polarization

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