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hep-phMay 3, 2004
31
citations (OpenAlex)
authors
  • Jian-zu Zhang
institutions
  • East China University of Science and Technology
  • The Abdus Salam International Centre for Theoretical Physics (ICTP)
arXiv abstractPDF
paper

Spectrum of q-Deformed Schrödinger Equation

arXiv:hep-ph/0405009 · doi:10.1016/S0370-2693(00)00143-X

Abstract

The energy spectrum of q-deformed Schrödinger equation is demonstrated. This spectrum includes an exponential factor with new quantum numbers--the q-exciting number and the scaling index. The pattern of quark and lepton masses is qualitatively explained by such a q-deformed spectrum in a composite model.

10 pages

References in corpus (1)

  • A q-deformed Quantum Mechanics

Cited by in corpus (12)

  • Physical Significance of q Deformation and Many-Body Interactions in Nuclei
  • Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials
  • Basic-deformed quantum mechanics
  • Deformed quantum mechanics and q-Hermitian operators
  • Analytical Solutions of Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Poschl-Teller potential
  • Critical Phenomenon of a Consistent q-Deformed Squeezed State
  • Perturbative Equivalent Theorem in q-Deformed Dynamics
  • Non-Archimedean Quantum Mechanics via Quantum Groups
  • One dimensional potentials in q space
  • q-Deformed Dynamics and Virial Theorem
  • On the physics of the soq​(4) hydrogen atom
  • Structures of q-Deformed Currents
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