%0 Journal Article %1 WOS:A1997WF30300012 %A Cavalcante, FSA %A Costa, RN %A Ribeiro, J %A Almeida, CAS %A Freire, VN %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 1997 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW B %K imported %N 3 %P 1326-1328 %R 10.1103/PhysRevB.55.1326 %T Form of the quantum kinetic-energy operator with spatially varying effective mass %V 55 %X Through a nonrelativistic limit of the Dirac Hamiltonian and considering the spatial dependence of the particle mass in the Foldy-Wouthuysen transformation, it is shown that the quantum kinetic-energy operator with spatially varying effective mass has the form 1/4(p) over cap1/root m(r)(p) over cap1/root m(r) + 1/root m(r)(p) over cap1/root m(r)(p) over cap. However, the transmission properties of an electron through a GaAs/AlxGa1-xAs heterojunction calculated both with this form and the BenDaniel and Duke operator (p) over capm(r)(-1)(p) over cap/2, the most used kinetic-energy operator, differ at most by 1% if the existence of interface regions as thin as two GaAs lattice units is taken into account.

@article{WOS:A1997WF30300012, abstract = {Through a nonrelativistic limit of the Dirac Hamiltonian and considering the spatial dependence of the particle mass in the Foldy-Wouthuysen transformation, it is shown that the quantum kinetic-energy operator with spatially varying effective mass has the form 1/4(p) over cap[1/root m(r)](p) over cap[1/root m(r)] + [1/root m(r)](p) over cap[1/root m(r)](p) over cap. However, the transmission properties of an electron through a GaAs/AlxGa1-xAs heterojunction calculated both with this form and the BenDaniel and Duke operator (p) over cap[m(r)](-1)(p) over cap/2, the most used kinetic-energy operator, differ at most by 1% if the existence of interface regions as thin as two GaAs lattice units is taken into account.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Cavalcante, FSA and Costa, RN and Ribeiro, J and Almeida, CAS and Freire, VN}, biburl = {https://www.bibsonomy.org/bibtex/2656f10bd67af8333ff6a2e234a7058f4/ppgfis_ufc_br}, doi = {10.1103/PhysRevB.55.1326}, interhash = {c26ed6f8dbf2a800ff227310987afd6d}, intrahash = {656f10bd67af8333ff6a2e234a7058f4}, issn = {2469-9950}, journal = {PHYSICAL REVIEW B}, keywords = {imported}, number = 3, pages = {1326-1328}, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Form of the quantum kinetic-energy operator with spatially varying effective mass}, tppubtype = {article}, volume = 55, year = 1997 }