Non-relativistic and relativistic scattering by short-range potentials

作者:Arnbak H; Christiansen P L*; Gaididei Yu B
来源:Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 2011, 369(1939): 1228-1244.
DOI:10.1098/rsta.2010.0330

摘要

Relativistic and non-relativistic scattering by short-range potentials is investigated for selected problems. Scattering by the delta' potential in the Schrodinger equation and delta potentials in the Dirac equation must be solved by regularization, efficiently carried out by a perturbation technique involving a stretched variable. Asymmetric regularizations yield non-unique scattering coefficients. Resonant penetration through the potentials is found. Approximative Schrodinger equations in the non-relativistic limit are discussed in detail.

  • 出版日期2011-3-28