Unstable particles in non-relativistic quantum mechanics?

Journal Article · Fri Oct 14 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3647538· OSTI ID:21611881

Hernandez-Coronado, H ^[1]

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1. Instituto Mexicano del Petroleo, Eje central Lazaro Cardenas 152, 07730, Mexico D.F. (Mexico)

The Schroedinger equation is up-to-a-phase invariant under the Galilei group. This phase leads to the Bargmann's superselection rule, which forbids the existence of the superposition of states with different mass and implies that unstable particles cannot be described consistently in non-relativistic quantum mechanics (NRQM). In this paper we claim that Bargmann's rule neglects physical effects and that a proper description of non-relativistic quantum mechanics requires to take into account this phase through the Extended Galilei group and the definition of its action on spacetime coordinates.

• OSTI ID: 21611881
• Journal Information: AIP Conference Proceedings, Vol. 1396, Issue 1; Conference: 8. workshop of the gravitation and mathematical physics division of the Mexican Physical Society, Tuxtla Gutierrez, Chiapas (Mexico), 22-26 Nov 2010; Other Information: DOI: 10.1063/1.3647538; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

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