Abstract
We analyze the emergence of a minimal length for a large class of generalized commutation relations, preserving commutation of the position operators and translation invariance as well as rotation invariance (in dimensions higher than one). We show that the construction of the maximally localized states based on squeezed states generally fails. Rather, one must resort to a constrained variational principle.
- Received 10 June 2002
DOI:https://doi.org/10.1103/PhysRevD.66.125004
©2002 American Physical Society