Point interaction Hamiltonians in bounded domains
Blanchard, Philippe
Figari, R.
Mantile, A.
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.
AMER INST PHYSICS
2007
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/1632789
Blanchard P, Figari R, Mantile A. Point interaction Hamiltonians in bounded domains. <em>JOURNAL OF MATHEMATICAL PHYSICS</em>. 2007;48(8):082108.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.2770672
info:eu-repo/semantics/altIdentifier/issn/0022-2488
info:eu-repo/semantics/altIdentifier/wos/000249156400008
info:eu-repo/semantics/closedAccess