| Title: |
On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential |
| Authors: |
Chithiika Ruby, V.; Senthilvelan, M. |
| Source: |
Journal of Mathematical Physics ; volume 51, issue 5 ; ISSN 0022-2488 1089-7658 |
| Publisher Information: |
AIP Publishing |
| Publication Year: |
2010 |
| Description: |
In this paper, we propose an algorithm to construct coherent states for an exactly solvable position dependent mass Schrödinger equation. We use point canonical transformation method and obtain ground state eigenfunction of the position dependent mass Schrödinger equation. We fix the ladder operators in the deformed form and obtain explicit expression of the deformed superpotential in terms of mass distribution and its derivative. We also prove that these deformed operators lead to minimum uncertainty relations. Further, we illustrate our algorithm with two examples, in which the coherent states given for the second example are new. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1063/1.3374667 |
| DOI: |
10.1063/1.3374667/13302267/052106_1_online.pdf |
| Availability: |
https://doi.org/10.1063/1.3374667; https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/1.3374667/13302267/052106_1_online.pdf |
| Accession Number: |
edsbas.7D2F809F |
| Database: |
BASE |