On a construction of the fundamental solution for the free Weyl equation by Hamiltonian path-integral method -- an exactly solvable case with ``odd variable coefficients

DOI10.2748/tmj/1178225016zbMath0910.35003OpenAlexW2002611009MaRDI QIDQ1127022

Atsushi Inoue

Publication date: 9 August 1998

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225016

zbMATH Keywords

superspaceClifford relationHamilton-Jacobi and continuity equations

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Supersymmetry and quantum mechanics (81Q60) Geometric theory, characteristics, transformations in context of PDEs (35A30) Hamilton-Jacobi equations in mechanics (70H20) Initial value problems for linear first-order PDEs (35F10) Solutions to PDEs in closed form (35C05) Equations in function spaces; evolution equations (58D25)

Related Items (1)

On a construction of the fundamental solution for the free Weyl equation by Hamiltonian path-integral

Cites Work

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• On integral transformations associated with a certain Lagrangian - as a prototype of quantization
• Super oscillatory integrals and a path-integral for a non-relativistic spinning particle
• Foundations of calculus on super Euclidean space \({\mathfrak R}^{m/n}\) based on a Fréchet-Grassmann algebra
• On a construction of the fundamental solution for the free Weyl equation by Hamiltonian path-integral
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• Scattering on a hyperbolic torus in a constant magnetic field

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