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 language | English |
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Title of host publication | Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 |
Editors | Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras |
Publisher | American Institute of Physics Inc. |
ISBN (Electronic) | 9780735412873 |
DOIs | |
Publication status | Published - 10 Mar 2015 |
Event | International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece Duration: 22 Sept 2014 → 28 Sept 2014 |
Publication series
Name | AIP Conference Proceedings |
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Volume | 1648 |
ISSN (Print) | 0094-243X |
ISSN (Electronic) | 1551-7616 |
Conference
Conference | International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 |
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Country/Territory | Greece |
City | Rhodes |
Period | 22/09/14 → 28/09/14 |
Bibliographical note
Publisher Copyright:© 2015 AIP Publishing LLC.
Keywords
- Fluctuations
- Hamiltonian Singularities
- Quantum Expectation Values
- Weight Operator