Nonlinear Analysis of Individual Quantum Events in a Model with Bohm Trajectories

Autor:	K. Bräuer
Rok vydání:	1999
Předmět:	Physics General Physics and Astronomy White noise Interpretations of quantum mechanics Particle detector Nonlinear system Quantum nonlocality Quantum mechanics Statistical physics Physical and Theoretical Chemistry Particle beam Quantum Mathematical Physics Beam (structure)
Zdroj:	Zeitschrift für Naturforschung A. 54:663-674
ISSN:	1865-7109 0932-0784
DOI:	10.1515/zna-1999-1201
Popis:	The quantum mechanical model under consideration describes a particle beam under the influence of an oscillator. Bohm’s causal interpretation of quantum mechanics is used to calculate trajectories of the particles. Individual quantum events are defined by the intersection of the beam particle trajectories and the particle detector. The time sequence of individual quantum events is interpreted as a time series and is analyzed by linear and nonlinear methods, which involves reconstruction and investigation of the system in an embedding space. The Fourier amplitudes and the fill factors show white noise, however the Karhunen-Loeve components indicate the influence of the oscillator on the beam particles. In this model individual quantum events carry information which can be detected by the Karhunen-Loeve ex-pansion.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e1d06c6428d441ecfc06b040bf66bf30 https://doi.org/10.1515/zna-1999-1201 Zobrazit plný text záznamu