dorsal/arxiv
View SchemaIntegration over a generic algebra
| Authors | R. Casalbuoni |
|---|---|
| Categories | |
| ArXiv ID | physics/9702019 |
| URL | https://arxiv.org/abs/physics/9702019 |
| DOI | 10.1142/S0217751X97003042 |
| Journal | Int.J.Mod.Phys. A12 (1997) 5803-5826 |
Abstract
In this paper we consider the problem of quantizing theories defined over configuration spaces described by non-commuting parameters. If one tries to do that by generalizing the path-integral formalism, the first problem one has to deal with is the definition of integral over these generalized configuration spaces. This is the problem we state and solve in the present work, by constructing an explicit algorithm for the integration over a general algebra. Many examples are discussed in order to illustrate our construction.
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"abstract": "In this paper we consider the problem of quantizing theories defined over\nconfiguration spaces described by non-commuting parameters. If one tries to do\nthat by generalizing the path-integral formalism, the first problem one has to\ndeal with is the definition of integral over these generalized configuration\nspaces. This is the problem we state and solve in the present work, by\nconstructing an explicit algorithm for the integration over a general algebra.\nMany examples are discussed in order to illustrate our construction.",
"arxiv_id": "physics/9702019",
"authors": [
"R. Casalbuoni"
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"doi": "10.1142/S0217751X97003042",
"journal_ref": "Int.J.Mod.Phys. A12 (1997) 5803-5826",
"title": "Integration over a generic algebra",
"url": "https://arxiv.org/abs/physics/9702019"
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