TY - JOUR
AB - 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.
AU - Blanchard, Philippe
AU - Figari, R.
AU - Mantile, A.
ID - 1632789
IS - 8
JF - JOURNAL OF MATHEMATICAL PHYSICS
SN - 0022-2488
TI - Point interaction Hamiltonians in bounded domains
VL - 48
ER -