About maximally localized states in quantum mechanics

Details About maximally localized states in quantum mechanics About maximally localized states in quantum mechanics

2002-10-14

arxiv.org/abs/hep-th/0210128v1

Phys.Rev. D66 (2002) 125004

Physics

High Energy Physics

High Energy Physics - Theory

accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.66.125004

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 dimension 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.

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