On the generalized Hartman effect for symmetric double-barrier point potentials

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Lee, Molly A.^1 ; Lunardi, José T.^2 ; Manzoni, Luiz A.^1 ; Nyquist, Erik A.^1

Department of Physics, Concordia College, 901 8th St. S., Moorhead

MN

56562, United States^1

Departamento de Matematica e Estatística, Universidade Estadual de Ponta Grossa, 4748 Av. General Carlos Cavalcanti, Ponta Grossa

Cep 84030-000, Brazil^2

关键词: Double barriers;    Hartman effects;    Off-resonance;    One dimension;    Opaque barrier;    Point interactions;    Relativistic particles;    Symmetrical arrangement;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012066/pdf
DOI  :  10.1088/1742-6596/574/1/012066

来源: IOP

【 摘 要 】

We consider the scattering of a non-relativistic particle by a symmetrical arrangement of two identical barriers in one-dimension, with the barriers given by the well-known four-parameter family of point interactions. We calculate the phase time and the stationary Salecker-Wigner-Peres clock time for the particular cases of a double δ and a double δ' barrier and investigate the off-resonance behavior of these time scales in the limit of opaque barriers, addressing the question of emergence of the generalized Hartman effect.