How to Cite
Abstract
Se aborda el estudio numérico del billar rectangular desde el contexto de la teoría cuántica Bohmiana. Se verifican las condiciones que hacen posible la existencia de caos cuántico, identificando el comportamiento irregular con el uso de criterios tales como exponentes de Lyapunov y espectros de potencia. Se determina el potencial cuántico así como los potenciales de Wigner y Ferry-Zhou analizando el papel que juegan en las manifestaciones de caos cuántico y su correspondencia en el límite clásico.
Palabras clave: billares cuánticos, billar rectangular, caos cuántico, mecánica bohmiana.
Abstract
Numeric study of the rectangular billiards is approached from the context of the causal quantum theory. The conditions that make possible the existence of quantum chaos are verified, identifying irregular behavior through criteria such Lyapunov exponents and power spectra. Quantum potential is determined as well as Wigner and Ferry-Zhou potentials, analyzing the role they play in the expressions of quantum chaos and its correspondence in the classic limit.
Key words: bohmian mechanics, rectangular billiard, quantum billiards, quantum chaos.
Univ. Sci. is registered under a Creative Commons Attribution 4.0 International Public License. Thus, this work may be reproduced, distributed, and publicly shared in digital format, as long as the names of the authors and Pontificia Universidad Javeriana are acknowledged. Others are allowed to quote, adapt, transform, auto-archive, republish, and create based on this material, for any purpose (even commercial ones), provided the authorship is duly acknowledged, a link to the original work is provided, and it is specified if changes have been made. Pontificia Universidad Javeriana does not hold the rights of published works and the authors are solely responsible for the contents of their works; they keep the moral, intellectual, privacy, and publicity rights. Approving the intervention of the work (review, copy-editing, translation, layout) and the following outreach, are granted through an use license and not through an assignment of rights. This means the journal and Pontificia Universidad Javeriana cannot be held responsible for any ethical malpractice by the authors. As a consequence of the protection granted by the use license, the journal is not required to publish recantations or modify information already published, unless the errata stems from the editorial management process. Publishing contents in this journal does not generate royalties for contributors.