Finite-element analysis of quantum wells of arbitrary semiconductors with arbitrary potential profiles

The polarization sensitivity of optical absorption in tensile strained GaAs/InAlAs double quantum wells

“…Various methods have been developed to solve the Schrödinger equation [4,5]. The method used here, the transfer matrix method (TMM), is simple to implement and gives sufficient accuracy to problems with arbitrary potential profiles [6].…”

Finite and infinite elements for a simple problem in quantum mechanics

“…Searles and von Nagy-Felsobuki [1], solved some simple problems of the type described here. Other papers involving the application of ÿnite elements, of various types, to quantum mechanical problems are those of Hermansonsson and Yevick [2], Nakamura et al [3], White et al [4], Yi and Dagli [5], Tsuchida and Tsukad [6] and Stern et al [7]. Periodic boundary conditions are sometimes used where there is a regular crystal structure, see for example, Pask et al [8].…”

Analytic methods for field induced tunneling in quantum wells with arbitrary potential profiles

“…The Stark shifted energy levels in a single rectangular quantum well (RQW) are thoroughly studied using both analytic Airy function methods [6][7][8][9] and numerical methods [10][11][12][13][14]. The Airy function methods are also efficient in calculating the mean tunneling lifetimes´ µ.…”