Phys. Rev. D 66, 125004 (2002) [8 pages]About maximally localized states in quantum mechanicsReceived 10 June 2002; published 13 December 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.125004
DOI:
10.1103/PhysRevD.66.125004
PACS:
03.65.Ca, 03.65.Db
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.