Research articles

search articles

My Pages

Stat

Members: 3645
Articles: 2'500'096
Articles rated: 2609

18 April 2024

» arxiv » quant-ph/0102128

Article overview

Bateman's dual system revisited: I. Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator
Massimo Blasone ; Petr Jizba ;
Date:	26 Feb 2001
Journal:	Annals Phys. 312 (2004) 354-397 DOI: 10.1016/j.aop.2004.01.008
Subject:	quant-ph hep-th
Abstract:	By using the Feynman-Hibbs prescription for the evolution amplitude, we quantize the system of a damped harmonic oscillator coupled to its time-reversed image, known as Bateman’s dual system. The time-dependent quantum states of such a system are constructed and discussed entirely in the framework of the classical theory. The corresponding geometric (Pancharatnam) phase is calculated and found to be directly related to the ground-state energy of the 1D linear harmonic oscillator to which the 2D system reduces under appropriate constraint.
Source:	arXiv, quant-ph/0102128
Services:	Forum \| Review \| PDF \| Favorites

No review found.

Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot

ScienXe.org
» my Online CV
» Free

News, job offers and information for researchers and scientists:

home

contact

sitemap