# Incomplete Delta Functions

@article{Gersten1998IncompleteDF, title={Incomplete Delta Functions}, author={Alexander Gersten}, journal={Foundations of Physics Letters}, year={1998}, volume={11}, pages={165-178} }

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…

## One Citation

Orthogonality and Boundary Conditions in Quantum Mechanics

- Physics
- 1998

One-dimensional particle states are constructed according to orthogonality conditions, without requiring boundary conditions. Free particle states are constructed using Dirac’s delta function…

## References

SHOWING 1-10 OF 10 REFERENCES

Orthogonality and Boundary Conditions in Quantum Mechanics

- Physics
- 1998

One-dimensional particle states are constructed according to orthogonality conditions, without requiring boundary conditions. Free particle states are constructed using Dirac’s delta function…

Nonstandard extension of quantum logic and Dirac's bra-ket formalism of quantum mechanics

- Mathematics
- 1994

An extension of the quantum logical approach to the axiomatization of quantum mechanics usingnonstandard analysis methods is proposed. The physical meaning of a quantum logic as a lattice of…

Relativistic Quantum Mechanics

- Physics
- 1965

In this text the authors develop a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per- form a series of calculations designed to illustrate various useful techniques and…

Quantum mechanics

- Physics
- 1961

Quantum mechanics (QM) is the modern physical theory of very small (microscopic) systems, typically atomic-sized or smaller. Along with Einstein's theory of relativity, QM represented a major…

THE INTERPRETATION OF QUANTUM MECHANICS*

- PhysicsThe British Journal for the Philosophy of Science
- 1953

THE following pages are a reply to Erwin Schrodinger's article, ' Are There Quantum Jumps ? Parts I and II ' , published in August and November 1952, in this Journal. A discussion on this subject was…

Theory of distributions

- Computer Science
- 1992

A textbook for a graduate course in the theory of distributions and related topics, for students of applied mathematics or theoretical physics. Introduces the theory, explicates mathematical…

Generalized Functions

- Generalized Functions
- 1964

Generalized Functions, Vols. I-III, (English translation)

- Generalized Functions, Vols. I-III, (English translation)
- 1964

Titchmarsh: Theory of Fourier Integrals

- Titchmarsh: Theory of Fourier Integrals
- 1937