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Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես
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Title:
New Resolution of Klein Paradox by Modified Dirac Equations
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Uncontrolled Keywords:
relativistic electron ; potential barrier ; Modified Dirac Equation ; unnelling ; new Hamiltonian ; antiparticles
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Abstract:
We present a new resolution of the Klein paradox by considering the problem of electron incidence on a step potential barrier using modified Dirac equations (MDE). Contrary to the generally accepted interpretation, which is based on the Dirac equation (DE) and predicts electron tunneling through an infinitely high barrier, our calculations show that tunneling is impossible if the electron kinetic energy is less than the barrier height. We propose to investigate MDE as an alternative DE relativistic quantum mechanical equation for spin ½ particles.