Multiband Quantum Transmitting Boundary Method for Non-orthogonal Basis

Analysis of Gate Dielectric Stacks Using the Transmitting Boundary Method

We present simulations of tunneling current through layers of high-κ dielectrics using the Tsu-Esaki model and the quantum transmitting boundary method (QTBM) to estimate the transmission coefficient. In contrast to transfer-matrix based methods, which suffer from numerical instabilities due to rounding errors, the QTBM is numerically stable even for large stacks and is suitable for implementat...

Is PT -symmetric quantum mechanics just quantum mechanics in a non-orthogonal basis?

One of the postulates of quantum mechanics is that the Hamiltonian is Hermitian, as this guarantees that the eigenvalues are real. Recently there has been an interest in asking if H = H is a necessary condition, and has lead to the development of PT -symmetric quantum mechanics. This note shows that any finite physically acceptable non-Hermitian Hamiltonian is equivalent to doing ordinary quant...

Method of Discrete Orthogonal Basis Restoration

Non-orthogonal spline wavelets for boundary element analysis

Non-orthogonal spline wavelets are developed for Galerkin BEM. The proposed wavelets have compact supports and closed-form expressions. Besides of it, one can choose arbitrarily the order of vanishing moments of the wavelets independently of order of B-splines. Sparse coefficient matrices are obtained by truncating the small elements a priori. The memory requirement and computational time can b...

Time-dependent density functional theory quantum transport simulation in non-orthogonal basis.

Basing on the earlier works on the hierarchical equations of motion for quantum transport, we present in this paper a first principles scheme for time-dependent quantum transport by combining time-dependent density functional theory (TDDFT) and Keldysh's non-equilibrium Green's function formalism. This scheme is beyond the wide band limit approximation and is directly applicable to the case of ...