A NOTE ON GAUSSIAN INTEGRALS OVER PARA-GRASSMANN VARIABLES

DOI10.1142/S0217751X04018506zbMath1080.58502arXivhep-th/0209172OpenAlexW1971826569MaRDI QIDQ3370258

Enrique F. Moreno, Leticia F. Cugliandolo, Gustavo Sergio Lozano, Fidel Arturo Schaposnik

Publication date: 7 February 2006

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

Full work available at URL: https://arxiv.org/abs/hep-th/0209172

zbMATH Keywords

path integralspara-Grassmann variables

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Analysis on supermanifolds or graded manifolds (58C50)

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Multi-mode entangled states represented as Grassmannian polynomials ⋮ SOME ALGEBRAICAL, COMBINATORIAL AND ANALYTICAL PROPERTIES OF PARAGRASSMANN VARIABLES ⋮ Generalized Grassmann variables for quantum kit (k-level) systems and Barut–Girardello coherent states for su(r + 1) algebras ⋮ On linear differential equations with variable coefficients involving a para-Grassmann variable

Cites Work

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• PARAGRASSMANN ANALYSIS AND QUANTUM GROUPS
• FRACTIONAL SUPERSPACE FORMULATION OF GENERALIZED MECHANICS
• EXTENDED FRACTIONAL SUPERSYMMETRIC QUANTUM MECHANICS
• LOCAL FRACTIONAL SUPERSYMMETRY FOR ALTERNATIVE STATISTICS
• Paragrassmann Integral, Discrete Systems and Quantum Groups