dorsal/arxiv
View SchemaGenerating Functionals for Harmonic Expectation Values of Paths with Fixed End Points. Feynman Diagrams for Nonpolynomial Interactions
| Authors | Hagen Kleinert, Axel Pelster, Michael Bachmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902051 |
| URL | https://arxiv.org/abs/quant-ph/9902051 |
| DOI | 10.1103/PhysRevE.60.2510 |
| Journal | Phys.Rev. E60 (1999) 2510 |
Abstract
We introduce a general class of generating functionals for the calculation of quantum-mechanical expectation values of arbitrary functionals of fluctuating paths with fixed end points in configuration or momentum space. The generating functionals are calculated explicitly for harmonic oscillators with time-dependent frequency, and used to derive a smearing formulas for correlation functions of polynomial and nonpolynomials functions of time-dependent positions and momenta. These formulas summarize the effect of thermal and quantum fluctuations, and serve to derive generalized Wick rules and Feynman diagrams for perturbation expansions of nonpolynomial interactions.
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"abstract": "We introduce a general class of generating functionals for the calculation of\nquantum-mechanical expectation values of arbitrary functionals of fluctuating\npaths with fixed end points in configuration or momentum space. The generating\nfunctionals are calculated explicitly for harmonic oscillators with\ntime-dependent frequency, and used to derive a smearing formulas for\ncorrelation functions of polynomial and nonpolynomials functions of\ntime-dependent positions and momenta. These formulas summarize the effect of\nthermal and quantum fluctuations, and serve to derive generalized Wick rules\nand Feynman diagrams for perturbation expansions of nonpolynomial interactions.",
"arxiv_id": "quant-ph/9902051",
"authors": [
"Hagen Kleinert",
"Axel Pelster",
"Michael Bachmann"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.60.2510",
"journal_ref": "Phys.Rev. E60 (1999) 2510",
"title": "Generating Functionals for Harmonic Expectation Values of Paths with Fixed End Points. Feynman Diagrams for Nonpolynomial Interactions",
"url": "https://arxiv.org/abs/quant-ph/9902051"
},
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