There Are Quantum Jumps

• In this communication we take up the age-old problem of the possibility to incorporate quantum jumps. Unusually, we investigate quantum jumps in an extended quantum setting, but one of rigorous mathematical significance. The general background for this formulation originates in the Balslev-Combes theorem for dilatation analytic Hamiltonians and associated complex symmetric representations. The actual jump is mapped into a Jordan block of order two and a detailed derivation is discussed for the case of the emission of a photon by an atom. The result can be easily reassigned to analogous cases as well as generalized to Segrè characteristics of arbitrary order.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

dilation analytic family of operators; complex symmetric representation; Segrè characteristic; Jordan block

Kemi med inriktning mot kemisk fysik

Chemistry with specialization in Chemical Physics

Mathematics with specialization in Applied Mathematics

Matematik med inriktning mot tillämpad matematik

Physics with specialization in Quantum Chemistry

Fysik med inriktning mot kvantkemi

Publikations- och innehållstyp

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