Physics – Quantum Physics
Scientific paper
2003-02-07
J. Phys. A: Math. Gen. 35 (2002) L715
Physics
Quantum Physics
Scientific paper
10.1088/0305-4470/35/47/105
A theorem of Hegerfeldt shows that if the spectrum of the Hamiltonian is bounded from below, then the propagation speed of certain probabilities does not have an upper bound. We prove a theorem analogous to Hegerfeldt's that appertains to asymmetric time evolutions given by a semigroup of operators. As an application, we consider a characterization of relativistic quasistable states by irreducible representations of the causal Poincare semigroup and study the implications of the new theorem for this special case.
Böhm Alexander
Wickramasekara S.
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