Averages of observables on Gamow states

Abstract

We propose a formulation of Gamow states, which is the part of unstable quantum states that decays exponentially, with two advantages in relation with the usual formulation of the same concept using Gamow vectors. The first advantage is that this formulation shows that Gamow states cannot be pure states, so that they may have a non-zero entropy. The second is the
possibility of correctly defining averages of observables on Gamow states.

Keywords

• Quantum resonances
• Gamow states
• algebraic formulation of states and observables

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