Effective mass of oneHe4atom in liquidHe

Generalized Laguerre polynomials with position-dependent effective mass visualized via Wigner’s distribution functions

“…Its solutions has been found to be very useful in describing, physically, the properties of the quantum dynamics of electrons in condensed matter physics as well as related fields of physics [13,14,15,16]. In mathematical physics, they have found to be interesting in point of view of coherent states [17,18,19,20] and PT -symmetry [21,22,23].…”

Torsion effects on a relativistic position-dependent mass system

“…Position-dependent mass systems have have attracted a great deal of attention in condensed matter physics due to the developments achieved in recent decades in studies of semiconductors [1][2][3], quantum liquids [4] and quantum dots [5]. At present days, several discussions can be found in the literature with the purpose of showing different ways of dealing with position dependent-mass systems [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Solutions of the nonrelativistic wave equation with position-dependent effective mass

“…The motivation for obtaining exact solutions of the wave equation with position dependent mass comes from the wide range of applications of these solutions in various areas of material science and condensed matter. Such applications are found in the study of electronic properties of semiconductors [15], quantum dots [16], 3 He clusters [17], quantum liquids [18] and semiconductor heterostructures [19], ...etc. The one dimensional Schrödinger equation with smooth mass and potential steps was solved exactly by L. Dekar et al [10].…”