On the Trotter formula computation of the kernel for the harmonic oscillator

Autor:	Poul Hjorth
Rok vydání:	1985
Předmět:	Computation Mathematical analysis Statistical and Nonlinear Physics Action (physics) symbols.namesake Kernel (statistics) Convergence (routing) Path integral formulation symbols Feynman diagram Fourier series Mathematical Physics Harmonic oscillator Mathematics
Zdroj:	Reports on Mathematical Physics. 21:205-212
ISSN:	0034-4877
DOI:	10.1016/0034-4877(85)90060-6
Popis:	The procedure for computing the kernel for the quantum mechanical harmonic oscillator by path integrals using Fourier series to diagonalize the action (originally proposed by Feynman and Hibbs), can be shown to be inconsistent; it leads to a kernel which converges to 0. A rigorous computation starting directly from the Trotter formula is demonstrated. This leads to the correct kernel and throws light upon the convergence mentioned.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f90a5a4820f0a1e34afbc9083169d0e2 https://doi.org/10.1016/0034-4877(85)90060-6 Zobrazit plný text záznamu