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Exact solutions of the (3+1)-dimensional DKP oscillator in doubly special relativity.

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Title: Exact solutions of the (3+1)-dimensional DKP oscillator in doubly special relativity.
Authors: Seffai, D.1 (AUTHOR) djamel_seffai@yahoo.fr, Hamil, B.2 (AUTHOR) hamilbilel@gmail.com, Merad, M.1 (AUTHOR) meradm@gmail.com
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 11/10/2024, Vol. 39 Issue 31, p1-14. 14p.
Subjects: Planck's energy, Special relativity (Physics), Laguerre polynomials, Speed of light, Spherical harmonics
Abstract: Doubly Special Relativity (DSR) is a promising candidate for understanding quantum gravity, by introducing two fundamental invariant scales — the speed of light and the Planck energy. Recently, another such theory has been proposed by Magueijo and Smolin (MS), and it can be extended to the whole class of DSRs. These models have structural similarity with different realizations of κ -Poincaré algebras. Given the significant implications of this theory, we explore the three-dimensional Duffin–Kemmer–Petiau (DKP) oscillator within this framework. By using the vector spherical harmonics technique in the momentum space, the three-dimensional DKP oscillator equation for spins 1 and 0 is reformulated from the viewpoint of the generalized algebra of the MS model. In order to recognize the influence of this reformulation, the energy eigenvalues contain an additional correction which depends on the deformation parameter, and eigenfunctions are determined in terms of the associated Laguerre polynomials. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Exact solutions of the (3+1)-dimensional DKP oscillator in doubly special relativity.
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  Data: <searchLink fieldCode="AR" term="%22Seffai%2C+D%2E%22">Seffai, D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> djamel_seffai@yahoo.fr</i><br /><searchLink fieldCode="AR" term="%22Hamil%2C+B%2E%22">Hamil, B.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> hamilbilel@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Merad%2C+M%2E%22">Merad, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> meradm@gmail.com</i>
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  Data: <searchLink fieldCode="DE" term="%22Planck's+energy%22">Planck's energy</searchLink><br /><searchLink fieldCode="DE" term="%22Special+relativity+%28Physics%29%22">Special relativity (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Laguerre+polynomials%22">Laguerre polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Speed+of+light%22">Speed of light</searchLink><br /><searchLink fieldCode="DE" term="%22Spherical+harmonics%22">Spherical harmonics</searchLink>
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  Data: Doubly Special Relativity (DSR) is a promising candidate for understanding quantum gravity, by introducing two fundamental invariant scales — the speed of light and the Planck energy. Recently, another such theory has been proposed by Magueijo and Smolin (MS), and it can be extended to the whole class of DSRs. These models have structural similarity with different realizations of κ -Poincaré algebras. Given the significant implications of this theory, we explore the three-dimensional Duffin–Kemmer–Petiau (DKP) oscillator within this framework. By using the vector spherical harmonics technique in the momentum space, the three-dimensional DKP oscillator equation for spins 1 and 0 is reformulated from the viewpoint of the generalized algebra of the MS model. In order to recognize the influence of this reformulation, the energy eigenvalues contain an additional correction which depends on the deformation parameter, and eigenfunctions are determined in terms of the associated Laguerre polynomials. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S0217751X24501343
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      – Code: eng
        Text: English
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        PageCount: 14
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      – SubjectFull: Planck's energy
        Type: general
      – SubjectFull: Special relativity (Physics)
        Type: general
      – SubjectFull: Laguerre polynomials
        Type: general
      – SubjectFull: Speed of light
        Type: general
      – SubjectFull: Spherical harmonics
        Type: general
    Titles:
      – TitleFull: Exact solutions of the (3+1)-dimensional DKP oscillator in doubly special relativity.
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              M: 11
              Text: 11/10/2024
              Type: published
              Y: 2024
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              Value: 39
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              Value: 31
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            – TitleFull: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
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