3D Schr\'odinger equation: scattering operator, scattering amplitude and ergodic property

Autor:	Sakhnovich, Lev
Rok vydání:	2019
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs Mathematics - Dynamical Systems Mathematics - Spectral Theory Quantum Physics 81T15 34L25 81Q05 81Q30
Druh dokumentu:	Working Paper
Popis:	Stationary scattering problem (when the distance $r$ tends to infinity) and dynamical scattering problem (when the time $t$ tends to infinity) are considered for the 3D Schr\"odinger equation. A simple interconnection between the scattering amplitude (stationary case) and scattering operator (dynamical case) is given in the paper. This result is a quantum mechanical analog of the ergodic formulas in the classical mechanics. Comment: This paper is a further development of our results in arXiv:1809.03998 and arXiv:1801.05370
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.07608 Zobrazit plný text záznamu View this record from Arxiv