Finite Size Universe or Perfect Squash Problem v2

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dc.creatorTurko, Ludwik
dc.date2003-10-20
dc.date2004-06-24
dc.date.accessioned2026-07-07T06:08:08Z
dc.date.available2026-07-07T06:08:08Z
dc.descriptionWe give a physical notion to all self-adjoint extensions of the operator $id/dx$ in the finite interval. It appears that these extensions realize different non-unitary equivalent representations of CCR and are related to the momentum operator viewed from different inertial systems. This leads to the generalization of Galilei equivalence principle and gives a new insight into quantum correspondence rule. It is possible to get transformation laws of wave function under Galilei transformation for any scalar potential. This generalizes mass superselection rule. There is also given a new and general interpretation of a momentum representation of wave function. It appears that consistent treatment of this problem leads to the time-dependent interactions and to the abrupt switching-off of the interaction.
dc.description15 pages, Accepted for publication in Journal of Mathematical Physics
dc.identifierhttps://arxiv.org/abs/quant-ph/0310128
dc.identifierhttp://arxiv.org/abs/quant-ph/0310128
dc.identifierJ.Math.Phys. 45 (2004) 3659-3675
dc.identifierdoi:10.1063/1.1782671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91524
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleFinite Size Universe or Perfect Squash Problem v2
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