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Angular Decomposition and Sign Solved Propagator of the 2D and 3D Helium Atom Path Integrals

Angular Decomposition and Sign Solved Propagator of the 2D and 3D Helium Atom Path Integrals
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摘要 In the present paper on the one hand we apply the central limit theorem to the solution of the sign problem of a path integral of two-interacting particles in potential and give an expression for the sign solved propagator (SSP) derived from that solution and on the other hand we perform the angular decomposition of the path integrals of the 2D and 3D Helium atoms. Finally, we combine those two results and derive the SSPs of the 2D and 3D Helium atoms. In the present paper on the one hand we apply the central limit theorem to the solution of the sign problem of a path integral of two-interacting particles in potential and give an expression for the sign solved propagator (SSP) derived from that solution and on the other hand we perform the angular decomposition of the path integrals of the 2D and 3D Helium atoms. Finally, we combine those two results and derive the SSPs of the 2D and 3D Helium atoms.
作者 Emmanouil George Thrapsaniotis Emmanouil George Thrapsaniotis(Athens, Greece)
机构地区 Athens
出处 《Journal of Applied Mathematics and Physics》 2022年第2期538-557,共20页 应用数学与应用物理(英文)
关键词 PROPAGATOR Angular Decomposition Sign Problem Central Limit Theorem 3D Helium 2D Helium Propagator Angular Decomposition Sign Problem Central Limit Theorem 3D Helium 2D Helium
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