Bulletin of the Korean Chemical Society

  • 제32권12호
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  • Pages.4233-4238
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  • 2011
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  • 0253-2964(pISSN)
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  • 1229-5949(eISSN)
대한화학회 (Korean Chemical Society)
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Quantization Rule for Relativistic Klein-Gordon Equation

  • Sun, Ho-Sung (Department of Chemistry, Sungkyunkwan University)
  • 투고 : 2011.08.11
  • 심사 : 2011.10.04
  • 발행 : 2011.12.20
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⟨ 이전 논문 다음 논문 ⟩

초록

Based on the exact quantization rule for the nonrelativistic Schrodinger equation, the exact quantization rule for the relativistic one-dimensional Klein-Gordon equation is suggested. Using the new quantization rule, the exact relativistic energies for exactly solvable potentials, e.g. harmonic oscillator, Morse, and Rosen-Morse II type potentials, are obtained. Consequently the new quantization rule is found to be exact for one-dimensional spinless relativistic quantum systems. Though the physical meanings of the new quantization rule have not been fully understood yet, the present formal derivation scheme may shed light on understanding relativistic quantum systems more deeply.

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피인용 문헌

  1. Molecular spinless energies of the improved Tietz potential energy model vol.128, pp.11, 2013, https://doi.org/10.1140/epjp/i2013-13139-4
  2. Solutions of the Klein-Gordon equation with the improved Rosen-Morse potential energy model vol.128, pp.7, 2013, https://doi.org/10.1140/epjp/i2013-13069-1
  3. Molecular Spinless Energies of the Morse Potential Energy Model vol.34, pp.11, 2013, https://doi.org/10.5012/bkcs.2013.34.11.3425
  4. Exactly Solvable Potentials Derived from SWKB Quantization vol.35, pp.3, 2011, https://doi.org/10.5012/bkcs.2014.35.3.805
  5. Molecular Spinless Energies of the Modified Rosen-Morse Potential Energy Model vol.35, pp.9, 2011, https://doi.org/10.5012/bkcs.2014.35.9.2699
  6. Analytical solutions of fractional Schrödinger equation and thermal properties of Morse potential for some diatomic molecules vol.36, pp.7, 2011, https://doi.org/10.1142/s0217732321500413
  7. Energy spectra and expectation values of selected diatomic molecules through the solutions of Klein-Gordon equation with Eckart-Hellmann potential model vol.119, pp.23, 2011, https://doi.org/10.1080/00268976.2021.1956615