Information theoretic measures of uncertainty of a noncommutative anisotropic oscillator in a homogeneous magnetic field

Piu Ghosh and Debraj Nath

Physica A: Statistical Mechanics and its Applications, 2020, vol. 538, issue C

Abstract: A noncommutative anisotropic oscillator in the presence of a homogeneous magnetic field is studied and the Schrödinger equation is solved analytically. We evaluated various information theoretic measures of uncertainty e.g., Heisenberg uncertainty relation, Shannon area and Fisher area for several states, including the ground state. It has been shown that the ground state is coherent for different magnetic fields. The optimum values of the Shannon area have found in position and momentum spaces. We observe that the Fisher area in momentum space has a maximum value without a magnetic field. Bialynicki–Birula–Mycielski (BBM) and Cramer–Rao uncertainty relations have been verified.

Keywords: Noncommutative anisotropic oscillator; Spreading measure of area; Shannon area; Fisher area (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119315833
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:538:y:2020:i:c:s0378437119315833

DOI: 10.1016/j.physa.2019.122791

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().