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

## 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.

- Authors:

- İstanbul Technical University, Informatics Institute, Computational Science and Engineering Department, Maslak, 34469, İstanbul, Türkiye (Turkey)

- Publication Date:

- OSTI Identifier:
- 22391051

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EXPANSION; EXPECTATION VALUE; FLUCTUATIONS; POSITION OPERATORS; QUANTUM SYSTEMS; SINGULARITY; SPACE

### Citation Formats

```
Kalay, Berfin, and Demiralp, Metin.
```*Fluctuation removal around spectral and temporal constancy limits via use of an extended space expectation value weight function for singular quantum systems*. United States: N. p., 2015.
Web. doi:10.1063/1.4912453.

```
Kalay, Berfin, & Demiralp, Metin.
```*Fluctuation removal around spectral and temporal constancy limits via use of an extended space expectation value weight function for singular quantum systems*. United States. doi:10.1063/1.4912453.

```
Kalay, Berfin, and Demiralp, Metin. Tue .
"Fluctuation removal around spectral and temporal constancy limits via use of an extended space expectation value weight function for singular quantum systems". United States.
doi:10.1063/1.4912453.
```

```
@article{osti_22391051,
```

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

author = {Kalay, Berfin and Demiralp, Metin},

abstractNote = {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.},

doi = {10.1063/1.4912453},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1648,

place = {United States},

year = {Tue Mar 10 00:00:00 EDT 2015},

month = {Tue Mar 10 00:00:00 EDT 2015}

}