Super oscillatory integrals and a path-integral for a non-relativistic spinning particle

DOI10.3792/pjaa.63.1zbMath0621.58034OpenAlexW2055005713MaRDI QIDQ1089975

Yoshiaki Maeda, Atsushi Inoue

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.1

zbMATH Keywords

super Hamiltonian quantizationsupersymmetric version of the oscillation integrals

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General mathematical topics and methods in quantum theory (81Q99)

Related Items (3)

On a construction of the fundamental solution for the free Weyl equation by Hamiltonian path-integral ⋮ 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 ⋮ Foundations of calculus on super Euclidean space \({\mathfrak R}^{m/n}\) based on a Fréchet-Grassmann algebra

Cites Work

• Unnamed Item
• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• Superanalysis, I. Differential calculus
• Superanalysis. II: Integral calculus

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