The harmonic oscillator in a space with a screw dislocation

Abstract

We obtain the eigenvalues of the harmonic oscillator in a space with a screw dislocation. By means of a suitable nonorthogonal basis set with variational parameters we obtain sufficiently accurate eigenvalues for an arbitrary range of values of the space-deformation parameter. The energies exhibit a rich structure of avoided crossings in terms of such model parameter.

References in corpus (4)

• Threading dislocation densities in semiconductor crystals: a geometric approach
• Landau quantization, Aharonov-Bohm effect and two-dimensional pseudoharmonic quantum dot around a screw dislocation
• Torsion effects on a relativistic position-dependent mass system
• Torsion and noninertial effects on a nonrelativistic Dirac particle