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arxiv: 1308.5801 · v1 · pith:4WSDGHJUnew · submitted 2013-08-27 · ✦ hep-th · cond-mat.str-el· hep-ph· nlin.SI

Transparent Dirac potentials in one dimension: the time-dependent case

classification ✦ hep-th cond-mat.str-elhep-phnlin.SI
keywords potentialstransparentdimensiondiractime-dependentcasecasesclass
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We generalize the original derivation of transparent, static Schroedinger potentials by Kay and Moses, to obtain a large class of time-dependent transparent Dirac potentials in one spatial dimension. They contain all known transparent potentials as special cases and play a key role in the semi-classical solution of 1+1 dimensional, fermionic quantum field theories of Gross-Neveu and Nambu-Jona-Lasinio type.

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