Resolution to the quantum phase problem
Year: 2001
Type: preprint
Abstract: Defining the observable φ canonically conjugate to the number observable N has long been an open problem in quantum theory. The problem stems from the fact that N is bounded from below. Here we show how to define the absolute phase observable Φ ≡ |φ | by suitably restricting the Hilbert space of x and p like variables. This Φ is actually the absolute value of the phase and has the correct classical limit. A correction to the “cosine ” C and “sine ” S operators of Carruthers and Nieto is obtained.
Source: arXiv (Cornell University)
Author: Gilad Gour
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2596802425