Fluctuation removal around spectral and temporal constancy limits via use of an extended space expectation value weight function for singular quantum systems

Berfin Kalay, Metin Demiralp

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This work is a new extension to our a very recent work whose paper will appear in the proceedings of a very recent international conference. What we have done in the previous work is the use of a weight operator to suppress the singularities causing nonexistence of some of temporal Maclaurin expansion coefficients. The weight operator has been constructed in such a way that certain number of expectation values of position operator's first positive integer powers with and without the chosen weight operator match. Therein this match has not been considered for the momentum operator's corresponding power expectation values and a finite linear combination of the spatial variable's first reciprocal powers has been used in the construction of the weight operator. Here, that approach is extended to the case where matches for both position and momentum operators are considered and the weight operator involves finite linear combinations of the spatial variable's both positive integer powers and their reciprocals.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
EditorsTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735412873
DOIs
Publication statusPublished - 10 Mar 2015
EventInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
Duration: 22 Sept 201428 Sept 2014

Publication series

NameAIP Conference Proceedings
Volume1648
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Country/TerritoryGreece
CityRhodes
Period22/09/1428/09/14

Bibliographical note

Publisher Copyright:
© 2015 AIP Publishing LLC.

Keywords

  • Fluctuations
  • Hamiltonian Singularities
  • Quantum Expectation Values
  • Weight Operator

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