Commuting Self-Adjoint Extensions of Symmetric Operators Defined from the Partial Derivatives

Authors

Palle Jorgensen
Steen Pedersen, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

12-2000

Abstract

We consider the problem of finding commuting self-adjoint extensions of the partial derivatives {(1/i)(∂/∂x_j):j=1,...,d} with domain C^∞_c(Ω) where the self-adjointness is defined relative to L²(Ω), and Ω is a given open subset of R^d.

Comments

Copyright © 2000, American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics 41.12, and may be found at http://jmp.aip.org/resource/1/jmapaq/v41/i12/p8263_s1?bypassSSO=1

Repository Citation

Jorgensen, P., & Pedersen, S. (2000). Commuting Self-Adjoint Extensions of Symmetric Operators Defined from the Partial Derivatives. Journal of Mathematical Physics, 41 (12), 8263-8278.
https://corescholar.libraries.wright.edu/math/32