TY - JOUR
T1 - Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential
AU - Dong, Shi Hai
AU - Lozada-Cassou, M.
N1 - Funding Information:
This work was partially supported by IMP, Mexico. The authors would like to thank the referee for the positive and invaluable suggestions, from which the manuscript has been improved greatly.
PY - 2005/4/11
Y1 - 2005/4/11
N2 - The exact solutions of two-dimensional Schrödinger equation with the position-dependent mass for a hard-core potential are obtained. The eigenvalues related to the position-dependent masses μ1 and μ2, the potential well depth V0 and the effective range r0 can be calculated by the boundary condition. We generalize this quantum system to three-dimensional case. The special cases for l=0,1 are studied in detail. For l=0 and c=0, we find that the energy levels will increase with the parameters μ2, V0 and r0 if μ1>μ 2.
AB - The exact solutions of two-dimensional Schrödinger equation with the position-dependent mass for a hard-core potential are obtained. The eigenvalues related to the position-dependent masses μ1 and μ2, the potential well depth V0 and the effective range r0 can be calculated by the boundary condition. We generalize this quantum system to three-dimensional case. The special cases for l=0,1 are studied in detail. For l=0 and c=0, we find that the energy levels will increase with the parameters μ2, V0 and r0 if μ1>μ 2.
KW - Exact solutions
KW - Hard-core potential
KW - Position-dependent mass
KW - Quantum dots
UR - http://www.scopus.com/inward/record.url?scp=15244361435&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2005.02.008
DO - 10.1016/j.physleta.2005.02.008
M3 - Artículo
SN - 0375-9601
VL - 337
SP - 313
EP - 320
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4-6
ER -