Supercriticality and Transmission Resonances in the Dirac equation

Details Supercriticality and Transmission Resonances in the Dirac equation Supercriticality and Transmission Resonances in the Dirac equation

2000-07-17

arxiv.org/abs/hep-th/0007132v1

Phys.Rev.Lett. 85 (2000) 1787-1790

Physics

High Energy Physics

High Energy Physics - Theory

Submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.85.1787

It is shown that a Dirac particle of mass $m$ and arbitrarily small momentum
will tunnel without reflection through a potential barrier $V=U_c(x)$ of finite
range provided that the potential well $V=-U_c(x)$ supports a bound state of
energy $E=-m.$ This is called a supercritical potential well.

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