Incomplete Delta Functions

@article{Gersten1998IncompleteDF,
  title={Incomplete Delta Functions},
  author={Alexander Gersten},
  journal={Foundations of Physics Letters},
  year={1998},
  volume={11},
  pages={165-178}
}
  • A. Gersten
  • Published 10 November 1999
  • Mathematics, Physics
  • Foundations of Physics Letters
By applying projection operators to state vectors of coordinates, we obtain subspaces in which these states are no longer normalized according to Dirac’s delta function but normalized according to what we call “incomplete delta functions.” We show that this class of functions satisfy identities similar to those satisfied by the Dirac delta function. The incomplete delta functions may be employed advantageously in projected subspaces and in the link between functions defined on the whole space… 
1 Citations
Orthogonality and Boundary Conditions in Quantum Mechanics
One-dimensional particle states are constructed according to orthogonality conditions, without requiring boundary conditions. Free particle states are constructed using Dirac’s delta function

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