Scattering states of Dirac particle equation with position-dependent mass under the cusp potential
نویسندگان
چکیده
منابع مشابه
Solution of the Dirac equation with position-dependent mass in the Coulomb field
We obtain exact solution of the Dirac equation for a charged particle with position-dependent mass in the Coulomb field. The effective mass of the spinor has a relativistic component which is proportional to the square of the Compton wavelength and varies as 1/r . It is suggested that this model could be used as a tool in the renormalization of ultraviolet divergences in field theory. The discr...
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The effect of the built-in supersymmetric quantum mechanical language on the spectrum of the (1+1)-Dirac equation, with position-dependent mass (PDM) and complexified Lorentz scalar interactions, is re-emphasized. The signature of the ”quasi-parity” on the Dirac particles’ spectra is also studied. A ”quasi-free” Dirac particle with PDM via an inversely linear plus linear model, a Dirac particle...
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The effect of the built-in supersymmetric quantum mechanical language on the spectrum of the (1+1)-Dirac equation, with position-dependent mass (PDM) and complexified Lorentz scalar interactions, is re-emphasized. The signature of the ”quasi-parity” on the Dirac particles’ spectra is also studied. A Dirac particle with PDM and complexified scalar interactions of the form S (z) = S (x− ib) (an i...
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متن کاملSeries solutions of the Schrödinger equation with position-dependent mass for the Morse potential
The analytical solutions of the Schrödinger equation with position-dependent mass for the Morse potential are obtained by the series expansion method. The Morse potential and the position-dependent mass themselves are expanded in the series about the origin. As an example, the analytical series solutions of the Morse potential with the position-dependent mass m=m0eλr are given. 2004 Elsevier ...
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ژورنال
عنوان ژورنال: The European Physical Journal Plus
سال: 2016
ISSN: 2190-5444
DOI: 10.1140/epjp/i2016-16387-8