Semi-Classical Green Kernel Asymptotics for the Dirac Operator

DOI10.1080/03605302.2011.600799zbMath1252.81065arXiv1010.1433OpenAlexW3098904196MaRDI QIDQ3106551

Claudia Warmt, Oliver Matte

Publication date: 28 December 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1433

zbMATH Keywords

WKBGreen kernelAgmon distanceFourier integral operator with complex-valued phase functionsemi-classical Dirac operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Fourier integral operators applied to PDEs (35S30)

Cites Work

• Unnamed Item
• On the eigenvalues of a class of hypoelliptic operators. IV
• A semiclassical approach to the Dirac equation
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
• RESONANCES AND SPECTRAL SHIFT FUNCTION FOR THE SEMI-CLASSICAL DIRAC OPERATOR
• Correlation asymptotics for non‐translation invariant lattice spin systems

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