Persistence of solvability in quantum systems deformed by Dunkl operators
We study persistence of solvability in nonrelativistic quantum systems with positiondependent mass upon introduction of a deformation by Dunkl operators. Conditions are derived for the governing Schrödinger equation of the conventional system to admit the same solutions as in the deformed case, up...
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CTU Central Library
2025-05-01
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| Series: | Acta Polytechnica |
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| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/9818 |
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| _version_ | 1850035452410593280 |
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| author | Axel Schulze-Halberg |
| author_facet | Axel Schulze-Halberg |
| author_sort | Axel Schulze-Halberg |
| collection | DOAJ |
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We study persistence of solvability in nonrelativistic quantum systems with positiondependent mass upon introduction of a deformation by Dunkl operators. Conditions are derived for the governing Schrödinger equation of the conventional system to admit the same solutions as in the deformed case, up to a reparametrisation of coupling constants. These conditions require the positiondependent mass or the potential of the system to have a specific form. If this is the case for a particular system, then the Schrödinger equations for its conventional version and for the Dunkl-deformed partner share solutions in the same functional form.
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| format | Article |
| id | doaj-art-68f428bc344f44c99a4b70fb2a818c03 |
| institution | DOAJ |
| issn | 1805-2363 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj-art-68f428bc344f44c99a4b70fb2a818c032025-08-20T02:57:29ZengCTU Central LibraryActa Polytechnica1805-23632025-05-0165210.14311/AP.2025.65.0222Persistence of solvability in quantum systems deformed by Dunkl operatorsAxel Schulze-Halberg0Indiana University Northwest, Department of Mathematics and Actuarial Science, and Department of Physics, 3400 Broadway, Gary IN 46408, United States of America We study persistence of solvability in nonrelativistic quantum systems with positiondependent mass upon introduction of a deformation by Dunkl operators. Conditions are derived for the governing Schrödinger equation of the conventional system to admit the same solutions as in the deformed case, up to a reparametrisation of coupling constants. These conditions require the positiondependent mass or the potential of the system to have a specific form. If this is the case for a particular system, then the Schrödinger equations for its conventional version and for the Dunkl-deformed partner share solutions in the same functional form. https://ojs.cvut.cz/ojs/index.php/ap/article/view/9818Schrödinger equationDunkl operatorbound statesposition-dependent mass |
| spellingShingle | Axel Schulze-Halberg Persistence of solvability in quantum systems deformed by Dunkl operators Acta Polytechnica Schrödinger equation Dunkl operator bound states position-dependent mass |
| title | Persistence of solvability in quantum systems deformed by Dunkl operators |
| title_full | Persistence of solvability in quantum systems deformed by Dunkl operators |
| title_fullStr | Persistence of solvability in quantum systems deformed by Dunkl operators |
| title_full_unstemmed | Persistence of solvability in quantum systems deformed by Dunkl operators |
| title_short | Persistence of solvability in quantum systems deformed by Dunkl operators |
| title_sort | persistence of solvability in quantum systems deformed by dunkl operators |
| topic | Schrödinger equation Dunkl operator bound states position-dependent mass |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/9818 |
| work_keys_str_mv | AT axelschulzehalberg persistenceofsolvabilityinquantumsystemsdeformedbydunkloperators |