TY - JOUR
T1 - A position-dependent mass model for the Thomas-Fermi potential
T2 - Exact solvability and relation to δ-doped semiconductors
AU - Schulze-Halberg, Axel
AU - García-Ravelo, Jesús
AU - Pacheco-García, Christian
AU - Juan Peña Gil, José
N1 - Funding Information:
CPG gratefully acknowledges hospitality during his Ph.D. studies in Science and Technology at the Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional. This work was partially supported by EDI-IPN , COFAA-IPN and SNI-Mexico .
PY - 2013/6
Y1 - 2013/6
N2 - We consider the Schrödinger equation in the Thomas-Fermi field, a model that has been used for describing electron systems in δ-doped semiconductors. It is shown that the problem becomes exactly-solvable if a particular effective (position-dependent) mass distribution is incorporated. Orthogonal sets of normalizable bound state solutions are constructed in explicit form, and the associated energies are determined. We compare our results with the corresponding findings on the constant-mass problem discussed by Ioriatti (1990) [13].
AB - We consider the Schrödinger equation in the Thomas-Fermi field, a model that has been used for describing electron systems in δ-doped semiconductors. It is shown that the problem becomes exactly-solvable if a particular effective (position-dependent) mass distribution is incorporated. Orthogonal sets of normalizable bound state solutions are constructed in explicit form, and the associated energies are determined. We compare our results with the corresponding findings on the constant-mass problem discussed by Ioriatti (1990) [13].
KW - Position-dependent mass
KW - Schrödinger equation
KW - Thomas-Fermi potential
KW - δ-doped semiconductor
UR - http://www.scopus.com/inward/record.url?scp=84876743267&partnerID=8YFLogxK
U2 - 10.1016/j.aop.2012.12.002
DO - 10.1016/j.aop.2012.12.002
M3 - Artículo
SN - 0003-4916
VL - 333
SP - 323
EP - 334
JO - Annals of Physics
JF - Annals of Physics
ER -