Abstract
The problem of quantum-confined heterostructures with elliptic shape is studied withelliptic cylinder coordinates and a basis of symmetry-adapted Mathieu functions.The conventional effective mass Hamiltonian is written in two-dimensional andthree-dimensional geometries. The problem is not separable in radial-like and angular-likecoordinates. A variational method using a basis of symmetry-adapted Mathieu functions isproposed. Energy splitting, optical intersubband and interband transition spectra, andpolarization effects are analysed. A calculation for self-organized InAs and InAs/InAlAsquantum dots on InP is performed. Various island shapes and morphologies are observedfor such quantum dots, which may be important for potential applications in fibre optictelecommunication systems.
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