Free oscillator realization of Laguerre polynomials
Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Odake, S. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical and mathematical physics - Pleiades Publishing, 1969, 210(2022), 1 vom: Jan., Seite 1-7 |
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| Übergeordnetes Werk: |
volume:210 ; year:2022 ; number:1 ; month:01 ; pages:1-7 |
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| DOI / URN: |
10.1134/S0040577922010019 |
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OLC2129213308 |
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| 520 | |a Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. | ||
| 650 | 4 | |a free oscillator realization | |
| 650 | 4 | |a radial oscillator | |
| 650 | 4 | |a Laguerre polynomial | |
| 650 | 4 | |a harmonic oscillator | |
| 650 | 4 | |a Hermite polynomial | |
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10.1134/S0040577922010019 doi (DE-627)OLC2129213308 (DE-He213)S0040577922010019-p DE-627 ger DE-627 rakwb eng 530 VZ Odake, S. verfasserin aut Free oscillator realization of Laguerre polynomials 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2022 Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. free oscillator realization radial oscillator Laguerre polynomial harmonic oscillator Hermite polynomial Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 210(2022), 1 vom: Jan., Seite 1-7 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:210 year:2022 number:1 month:01 pages:1-7 https://doi.org/10.1134/S0040577922010019 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 210 2022 1 01 1-7 |
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10.1134/S0040577922010019 doi (DE-627)OLC2129213308 (DE-He213)S0040577922010019-p DE-627 ger DE-627 rakwb eng 530 VZ Odake, S. verfasserin aut Free oscillator realization of Laguerre polynomials 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2022 Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. free oscillator realization radial oscillator Laguerre polynomial harmonic oscillator Hermite polynomial Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 210(2022), 1 vom: Jan., Seite 1-7 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:210 year:2022 number:1 month:01 pages:1-7 https://doi.org/10.1134/S0040577922010019 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 210 2022 1 01 1-7 |
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10.1134/S0040577922010019 doi (DE-627)OLC2129213308 (DE-He213)S0040577922010019-p DE-627 ger DE-627 rakwb eng 530 VZ Odake, S. verfasserin aut Free oscillator realization of Laguerre polynomials 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2022 Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. free oscillator realization radial oscillator Laguerre polynomial harmonic oscillator Hermite polynomial Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 210(2022), 1 vom: Jan., Seite 1-7 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:210 year:2022 number:1 month:01 pages:1-7 https://doi.org/10.1134/S0040577922010019 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 210 2022 1 01 1-7 |
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10.1134/S0040577922010019 doi (DE-627)OLC2129213308 (DE-He213)S0040577922010019-p DE-627 ger DE-627 rakwb eng 530 VZ Odake, S. verfasserin aut Free oscillator realization of Laguerre polynomials 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2022 Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. free oscillator realization radial oscillator Laguerre polynomial harmonic oscillator Hermite polynomial Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 210(2022), 1 vom: Jan., Seite 1-7 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:210 year:2022 number:1 month:01 pages:1-7 https://doi.org/10.1134/S0040577922010019 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 210 2022 1 01 1-7 |
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10.1134/S0040577922010019 doi (DE-627)OLC2129213308 (DE-He213)S0040577922010019-p DE-627 ger DE-627 rakwb eng 530 VZ Odake, S. verfasserin aut Free oscillator realization of Laguerre polynomials 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2022 Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. free oscillator realization radial oscillator Laguerre polynomial harmonic oscillator Hermite polynomial Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 210(2022), 1 vom: Jan., Seite 1-7 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:210 year:2022 number:1 month:01 pages:1-7 https://doi.org/10.1134/S0040577922010019 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT AR 210 2022 1 01 1-7 |
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Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. © Pleiades Publishing, Ltd. 2022 |
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Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. © Pleiades Publishing, Ltd. 2022 |
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Abstract We revisit the radial oscillator from the standpoint of a free oscillator realization. By using a free oscillator, namely, the creation/annihilation operators of the harmonic oscillator, we construct an operator that maps the eigenfunctions of the harmonic oscillator to those of the radial oscillator. As a polynomial part of this relation, we obtain an operator that maps the Hermite polynomials to the Laguerre polynomials. © Pleiades Publishing, Ltd. 2022 |
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