Position-dependent mass models and their nonlinear characterization
نویسندگان
چکیده
منابع مشابه
Position-dependent mass models and their nonlinear characterization
We consider the specific models of Zhu-Kroemer and BenDaniel-Duke in a sechmass background and point out interesting correspondences with the stationary 1soliton and 2-soliton solutions of the KdV equation in a supersymmetric framework. PACS : 03.65.-w, 11.30.Lm, 03.65.Ge, 11.30.Pb
متن کاملNon-Hermitian d-dimensional Hamiltonians with position dependent mass and their η-pseudo-Hermiticity generators
A class of non-Hermitian d-dimensional Hamiltonians with position dependent mass and their η-pseudo-Hermiticity generators is presented. Illustrative examples are given in 1D, 2D, and 3D for different position dependent mass settings. PACS numbers: 03.65.Ge, 03.65.Fd,03.65.Ca
متن کاملA generalized non-Hermitian oscillator Hamiltonian, N -fold supersymmetry and position-dependent mass models
A generalized non-Hermitian oscillator Hamiltonian is proposed that consists of additional linear terms which break PT -symmetry explicitly. The model is put into an equivalent Hermitian form by means of a similarity transformation and the criterion of N -fold supersymmetry with a position-dependent mass is shown to reside in it.
متن کاملAbrupt termination of a quantum channel and exactly solvable position-dependent mass models in three dimensions
We consider a particle with a position-dependent mass, moving in a threedimensional semi-infinite parallelepipedal or cylindrical channel under the influence of some hyperbolic potential. We show that the lack of uniformity in the environment generates an infinite number of bound states. PACS: 03.65.-w
متن کاملQuantum particles trapped in their position-dependent mass barrier; A d-dimensional recipe
We consider a free particle, V (r) = 0, with a position-dependent mass m(r) = 1/(1 + ςr) in the d-dimensional Schrödinger equation. The effective potential turns out to be a generalized Pöschl-Teller potential that admits exact solution. PACS numbers: 03.65.Ge, 03.65.Fd,03.65.Ca
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2007
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/40/49/f01