English

Minimum number-phase uncertainty states via weighted Bergman spaces

Complex Variables 2023-07-17 v1

Abstract

The number-phase uncertainty result of Luo via the Hardy space on unit disc (Phys Lett A, 2000) is extended in this paper to the scale of weighted Bergman spaces. The minimum uncertainty states are thereby explicitly identified.

Keywords

Cite

@article{arxiv.2307.07152,
  title  = {Minimum number-phase uncertainty states via weighted Bergman spaces},
  author = {Yi C. Huang},
  journal= {arXiv preprint arXiv:2307.07152},
  year   = {2023}
}

Comments

a note written in the winter vacation of 2022-2023 and for fun