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Virial Teoremine Göre V r =krn Potansiyeli ile Etkileşen Bir Spin-bir Parçacığının Duffin-Kemmer- Petiau DKP Denkleminin Dalgafonksiyonları Çözümleri

Year 2019, Volume: 9 Issue: 2, 190 - 200, 01.06.2019

Hasan Arslan

https://doi.org/10.7212/zkufbd.v9i2.1319

Abstract

DKP Eşitliği, potansiyel V r =krn ile etkileşime giren bir spin-parçacık için yazılmıştır. Yazılı denklem bu potansiyel için virial teoremine göre çözülür. On bileşenli dalga fonksiyonları elde edilir

Keywords

DKP denklemi Virial teoremi Dalga fonksiyonları

References

  • Al-Khasawneh, BY., Altaie, MB. 2012. Investigating the Gravitational Properties of Dark Matter. MSc Thesis, Yarmouk University.
  • Arslan, H. 2011. A Unified Equation of Interactions. OJM., 1: 28.
  • Arslan, H. 2013. The Dirac Equation with the Scattered Electron Including Extra Potential Energy Comes from the Virial Theorem. J. Mod. Phys., 4.4.
  • Arslan, H. 2013. The Distances in the Stable Systems Due to the Virial Theorem. Applied Math., 4(4).
  • Arslan, H. 2014. The Dirac Equation According to the Virial Theorem for a Poential V= n krn. Adv. Stud. Theor. Phys., 8(22): 983-989.
  • Arslan, H., Hulaguhanoglu, N. 2015. The Wavefunctions and Energy Eigenvalues of the Schrodinger Equation for Different Potentials Due to the Virial Theorem. Acta Phys. Pol., A, 127(4): 914-916.
  • Arslan, H. 2016. An alternative model of the concentric spherical shell universes according to the virial theorem. Phys. Essays, 29(2): 252-255.
  • Arslan, H., Arslan, MF. 2016. The Duffin‐Kemmer‐Petiau equation (DKP) wavefunctions solutions according to the virial theorem for a spinless boson particle interacting with a potential V (r)= k r n. Phys. Essays, 29(1): 10-13.
  • Bahcall, JN. 1961. Virial Theorem for Many-Electron Dirac Systems. Physical Rev., 124: 923-924.
  • Balinsky, AA., Evans, WD. 1998. On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues. Lett. Math. Phys., 44(3): 233-248.
  • Barshalom, A., Oreg, J. 2009. The relativistic virial theorem in plasma EOS calculations. High Energ Dens Phys., 5(3): 196- 203.
  • Stokes, JD., Dahal,HP., Balatsky, AV., Bedell, KS. 2013. The virial theorem in graphene and other Dirac materials. Philos. Mag. Let., 93(12): 672-679.
  • Thornton, ST., Marion, JB. 2004. Classical Dynamics of Particles and Systems, Thomson Learning, Belmont.
  • Yaşuk, F., Berkdemir, C., Berkdemir, A., Önem, C. 2005. Exact solutions of the Duffin–Kemmer–Petiau equation for the deformed hulthen potential. Phys. Scr., 71(4): 340.
  • Weislinger, E., Olivier, G. 1974. The classical and quantum mechanical virial theorem. Int. J. Quantum Chem., 8(8): 389- 401.
  • Weislinger, E., Olivier, G. 1975. The virial theorem with boundary conditions applications to the harmonic oscillator and to sine‐shaped potentials. Int. J. Quantum Chem. 9(9): 425-433.
  • J. Mathematical Phys. 34(5): 1791-1793.
  • Shabaev, VM. 2002. Virial relations for the Dirac equation and their applications to calculations of H-like atoms. arXiv preprint physics/0211087.

The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- one Particle Interacting with a Potential V r =k r^n

Year 2019, Volume: 9 Issue: 2, 190 - 200, 01.06.2019

Hasan Arslan

https://doi.org/10.7212/zkufbd.v9i2.1319

Abstract

The DKP Eqution is written for a spin-one particle interacting with a potential V r =k r^n. The written equation is solved for this potential according to the virial theorem. The ten – component wavefunctions are obtained.

Keywords

Virial Theorem DKP Equation Wavefunctions.

References

  • Al-Khasawneh, BY., Altaie, MB. 2012. Investigating the Gravitational Properties of Dark Matter. MSc Thesis, Yarmouk University.
  • Arslan, H. 2011. A Unified Equation of Interactions. OJM., 1: 28.
  • Arslan, H. 2013. The Dirac Equation with the Scattered Electron Including Extra Potential Energy Comes from the Virial Theorem. J. Mod. Phys., 4.4.
  • Arslan, H. 2013. The Distances in the Stable Systems Due to the Virial Theorem. Applied Math., 4(4).
  • Arslan, H. 2014. The Dirac Equation According to the Virial Theorem for a Poential V= n krn. Adv. Stud. Theor. Phys., 8(22): 983-989.
  • Arslan, H., Hulaguhanoglu, N. 2015. The Wavefunctions and Energy Eigenvalues of the Schrodinger Equation for Different Potentials Due to the Virial Theorem. Acta Phys. Pol., A, 127(4): 914-916.
  • Arslan, H. 2016. An alternative model of the concentric spherical shell universes according to the virial theorem. Phys. Essays, 29(2): 252-255.
  • Arslan, H., Arslan, MF. 2016. The Duffin‐Kemmer‐Petiau equation (DKP) wavefunctions solutions according to the virial theorem for a spinless boson particle interacting with a potential V (r)= k r n. Phys. Essays, 29(1): 10-13.
  • Bahcall, JN. 1961. Virial Theorem for Many-Electron Dirac Systems. Physical Rev., 124: 923-924.
  • Balinsky, AA., Evans, WD. 1998. On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues. Lett. Math. Phys., 44(3): 233-248.
  • Barshalom, A., Oreg, J. 2009. The relativistic virial theorem in plasma EOS calculations. High Energ Dens Phys., 5(3): 196- 203.
  • Stokes, JD., Dahal,HP., Balatsky, AV., Bedell, KS. 2013. The virial theorem in graphene and other Dirac materials. Philos. Mag. Let., 93(12): 672-679.
  • Thornton, ST., Marion, JB. 2004. Classical Dynamics of Particles and Systems, Thomson Learning, Belmont.
  • Yaşuk, F., Berkdemir, C., Berkdemir, A., Önem, C. 2005. Exact solutions of the Duffin–Kemmer–Petiau equation for the deformed hulthen potential. Phys. Scr., 71(4): 340.
  • Weislinger, E., Olivier, G. 1974. The classical and quantum mechanical virial theorem. Int. J. Quantum Chem., 8(8): 389- 401.
  • Weislinger, E., Olivier, G. 1975. The virial theorem with boundary conditions applications to the harmonic oscillator and to sine‐shaped potentials. Int. J. Quantum Chem. 9(9): 425-433.
  • J. Mathematical Phys. 34(5): 1791-1793.
  • Shabaev, VM. 2002. Virial relations for the Dirac equation and their applications to calculations of H-like atoms. arXiv preprint physics/0211087.
There are 18 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Hasan Arslan This is me

Publication Date June 1, 2019
Published in Issue Year 2019 Volume: 9 Issue: 2

Cite

APA Arslan, H. (2019). The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- one Particle Interacting with a Potential V r =k r^n. Karaelmas Fen Ve Mühendislik Dergisi, 9(2), 190-200. https://doi.org/10.7212/zkufbd.v9i2.1319
AMA Arslan H. The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- one Particle Interacting with a Potential V r =k r^n. Karaelmas Fen ve Mühendislik Dergisi. June 2019;9(2):190-200. doi:10.7212/zkufbd.v9i2.1319
Chicago Arslan, Hasan. “The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- One Particle Interacting With a Potential V R =k r^n”. Karaelmas Fen Ve Mühendislik Dergisi 9, no. 2 (June 2019): 190-200. https://doi.org/10.7212/zkufbd.v9i2.1319.
EndNote Arslan H (June 1, 2019) The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- one Particle Interacting with a Potential V r =k r^n. Karaelmas Fen ve Mühendislik Dergisi 9 2 190–200.
IEEE H. Arslan, “The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- one Particle Interacting with a Potential V r =k r^n”, Karaelmas Fen ve Mühendislik Dergisi, vol. 9, no. 2, pp. 190–200, 2019, doi: 10.7212/zkufbd.v9i2.1319.
ISNAD Arslan, Hasan. “The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- One Particle Interacting With a Potential V R =k r^n”. Karaelmas Fen ve Mühendislik Dergisi 9/2 (June 2019), 190-200. https://doi.org/10.7212/zkufbd.v9i2.1319.
JAMA Arslan H. The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- one Particle Interacting with a Potential V r =k r^n. Karaelmas Fen ve Mühendislik Dergisi. 2019;9:190–200.
MLA Arslan, Hasan. “The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- One Particle Interacting With a Potential V R =k r^n”. Karaelmas Fen Ve Mühendislik Dergisi, vol. 9, no. 2, 2019, pp. 190-0, doi:10.7212/zkufbd.v9i2.1319.
Vancouver Arslan H. The Duffin-Kemmer-Petiau DKP Equation Wavefunctions Solutions According to the Virial Theorem for a Spin- one Particle Interacting with a Potential V r =k r^n. Karaelmas Fen ve Mühendislik Dergisi. 2019;9(2):190-20.