Hartman effect and weak measurements that are not really weak

Are the weak reaction channels really weak?

It has been demonstrated experimentally in many systems that the fusion barrier between two nuclei does not have a unique value but rather a weighted distribution Dfus of heights. The measurements of the barrier distributions are the long lasting project of our group. Dfus can be determined directly from fusion excitation function measurements [1]. There is also an alternative method of its det...

Weak Alternating Automata Are Not That Weak 1 ORNA

Compactifications, Hartman functions and (weak) almost periodicity

In this paper we investigate Hartman functions on a topological group G. Recall that (ι, C) is a group compactification of G if C is a compact group, ι : G → C is a continuous group homomorphism and ι(G) ⊆ C is dense. A bounded function f : G 7→ C is a Hartman function if there exists a group compactification (ι, C) and F : C → C such that f = F ◦ ι and F is Riemann integrable, i.e. the set of ...

Weak Value and Weak Measurements

The weak value of a variable O is a description of an effective interaction with that variable in the limit of weak coupling. For a pre-and post-selected system described at time t by the two-state vector Φ| |Ψ (see entry Two-State Vector Formalism), the weak value is [1]: O w ≡ Φ|O|Ψ Φ|Ψ. (1) Contrary to classical physics, variables in quantum mechanics might not have definite values at a give...

z-weak ideals and prime weak ideals

In this paper, we study a generalization of z-ideals in the ring C(X) of continuous real valued functions on a completely regular Hausdorff space X. The notion of a weak ideal and naturally a weak z-ideal and a prime weak ideal are introduced and it turns out that they behave such as z-ideals in C(X).