Position-dependent effective masses in semiconductor theory. II

Effective Mass and Pseudoscalar Interaction in the Dirac Equation with Woods–Saxon Potential

“…Furthermore, making use of the non-relativistic approximation of Eqs. (2,3) to eliminate χ in Eq. (6) and φ in Eq.…”

“…This interest is due to the wide applicability of such models in different areas of physics. A well-known example is the so-called effective-mass-approximation theory in condensed matter physics, which has been extensively used for the determination of electronic properties of semiconductors [1][2][3], and for the description of the properties of hetero-junctions [4,5] and quantum dots [6]. In addition, PDM-models have been successfully applied in the field of molecular and atomic physics [7,8].…”

Solutions of Morse potential with position-dependent mass by Laplace transform

“…The local mass concept also has been proliferated in more applicable sciences such as the material science and condensed matter physics. The footprints of position dependent mass can be seen in the researches concerned to semiconductors [5][6][7][8], quantum wells and quantum dots [9][10][11][12], quantum liquids [13], and impurities in crystals [14].…”

Quantum systems with effective and time-dependent masses: form-preserving transformations and reality conditions

“…Several articles [2,5,[21][22][23][24][25][26][27] were devoted to finding the correct Hamiltonian among special cases of (2). The most frequently used special case arises from (2) by setting α = γ = 0, β = −1 and reads…”

“…in a semiconductor) are not completely free, but interact with the potential of the lattice and thus cannot be seen as free particles. The quantum dynamics of such electrons can be modeled by employing a position-dependent (effective) mass, the behaviour of which is determined by the band curvature [1][2][3][4][5]. Therefore, in order to model such a system, one needs to set up a Hamiltonian with a position-dependent mass.…”