Relativistic resonance and decay phenomena

Hai V. Bui

Research output: Contribution to journalConference article

Abstract

The exact relation τ =Γ between the width Γ of a resonance and the lifetime τ for the decay of this resonance could not be obtained in standard quantum theory based on the Hilbert space or Schwartz space axiom in non-relativistic physics as well as in the relativistic regime. In order to obtain the exact relation, one has to modify the Hilbert space axiom or the Schwartz space axiom and choose new boundary conditions based on the Hardy space axioms in which the space of the states and the space of the observables are described by two different Hardy spaces. As consequences of the new Hardy space axioms, one obtains, instead of the symmetric time evolution for the states and the observables, asymmetrical time evolutions for the states and observables which are described by two semi-groups. A relativistic resonance obeying the exponential time evolution can be described by a relativistic Gamow vector, which is defined as superposition of the exact out-plane wave states with a Breit-Wigner energy distribution of the width Γ.

Original languageEnglish (US)
Article number012020
JournalJournal of Physics: Conference Series
Volume597
Issue number1
DOIs
StatePublished - Apr 13 2015
Externally publishedYes
Event30th International Colloquium on Group Theoretical Methods in Physics (Group30), ICGTMP 2014 - Ghent, Belgium
Duration: Jul 14 2014Jul 18 2014

Fingerprint

decay
axioms
Hilbert space
quantum theory
energy distribution
plane waves
boundary conditions
life (durability)
physics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Relativistic resonance and decay phenomena. / Bui, Hai V.

In: Journal of Physics: Conference Series, Vol. 597, No. 1, 012020, 13.04.2015.

Research output: Contribution to journalConference article

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