@article{1632789,
abstract = {Making use of recent techniques in the theory of self-adjoint extensions of symmetric operators, we characterize the class of point interaction Hamiltonians in a three-dimensional bounded domain with regular boundaries. In the particular case of one point interaction acting in the center of a ball, we obtain an explicit representation of the point spectrum of the operator together with the corresponding eigenfunctions. These operators are used to build up a model system where the dynamics of a quantum particle depends on the state of a quantum bit.},
author = {Blanchard, Philippe and Figari, R. and Mantile, A.},
issn = {0022-2488},
journal = {JOURNAL OF MATHEMATICAL PHYSICS},
number = {8},
pages = {082108},
publisher = {AMER INST PHYSICS},
title = {{Point interaction Hamiltonians in bounded domains}},
doi = {10.1063/1.2770672},
volume = {48},
year = {2007},
}