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Title: Effective equations for the quantum pendulum from momentous quantum mechanics

Abstract

In this work we study the quantum pendulum within the framework of momentous quantum mechanics. This description replaces the Schroedinger equation for the quantum evolution of the system with an infinite set of classical equations for expectation values of configuration variables, and quantum dispersions. We solve numerically the effective equations up to the second order, and describe its evolution.

Authors:
;  [1]
  1. Universidad Autonoma de Chihuahua, Facultad de Ingenieria, Nuevo Campus Universitario, Chihuahua 31125 (Mexico)
Publication Date:
OSTI Identifier:
22069187
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1473; Journal Issue: 1; Conference: 9. workshop of the Gravitational and Mathematical Physics Division of the Mexican Physical Society, Colima (Mexico), 28 Nov - 2 Dec 2011; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONFIGURATION; DISPERSION RELATIONS; EXPECTATION VALUE; NUMERICAL SOLUTION; QUANTUM MECHANICS; SCHROEDINGER EQUATION

Citation Formats

Hernandez, Hector H, Chacon-Acosta, Guillermo, and Departamento de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, Artificios 40, Mexico D. F. 01120. Effective equations for the quantum pendulum from momentous quantum mechanics. United States: N. p., 2012. Web. doi:10.1063/1.4748550.
Hernandez, Hector H, Chacon-Acosta, Guillermo, & Departamento de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, Artificios 40, Mexico D. F. 01120. Effective equations for the quantum pendulum from momentous quantum mechanics. United States. https://doi.org/10.1063/1.4748550
Hernandez, Hector H, Chacon-Acosta, Guillermo, and Departamento de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, Artificios 40, Mexico D. F. 01120. 2012. "Effective equations for the quantum pendulum from momentous quantum mechanics". United States. https://doi.org/10.1063/1.4748550.
@article{osti_22069187,
title = {Effective equations for the quantum pendulum from momentous quantum mechanics},
author = {Hernandez, Hector H and Chacon-Acosta, Guillermo and Departamento de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, Artificios 40, Mexico D. F. 01120},
abstractNote = {In this work we study the quantum pendulum within the framework of momentous quantum mechanics. This description replaces the Schroedinger equation for the quantum evolution of the system with an infinite set of classical equations for expectation values of configuration variables, and quantum dispersions. We solve numerically the effective equations up to the second order, and describe its evolution.},
doi = {10.1063/1.4748550},
url = {https://www.osti.gov/biblio/22069187}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1473,
place = {United States},
year = {Fri Aug 24 00:00:00 EDT 2012},
month = {Fri Aug 24 00:00:00 EDT 2012}
}