Let µ be a probability measure on the set R of real numbers and µ̂(t):=R R e ¡itλdµ(λ) (t 2 R) be the Fourier transform of µ (i is the imaginary unit). Then, under suitable conditions, asymptotic formulae of jµ̂(t/x)j2x in 1/x as x! 1 are derived. These results are applied to the so-called quantum Zeno effect to establish asymptotic formulae of its occurrence probability in the inverse of the number N of measurements made in a time interval as N!1
We present an overview of the mathematics underlying the quantum Zeno effect. Classical, functional ...
The quantum Zeno effect consists in the hindrance of the evolution of a quantum system that is very ...
We first stress that the time symmetry in quantum mechanics manifests itself in the analytical prope...
Let µ be a probability measure on the set R of real numbers and µ̂(t):=R R e ¡itλdµ(λ) (t 2 R) be th...
Mathematical investigations on quantum Zeno effect (QZE) are presented, in-cluding the following asp...
We study measures generated by systems of linear iterated functions, their Fourier transforms, and ...
The quantum Zeno effect is viewed in a geometric way. It is shown that the inhibition probability is...
The asymptotic behaviour of the Fourier transforms of orthogonal polynomials. II. L.I.F.S. measures ...
We study measures generated by systems of linear iterated functions, their Fourier transforms, and ...
We show that the quadratic short time behavior of transition probability is a natural consequence of...
We study measures generated by systems of linear iterated functions, their Fourier transforms, and t...
If frequent measurements ascertain whether a quantum system is still in a given subspace, it remains...
If very frequent periodic measurements ascertain whether a quantum system is still in its initial st...
Abstract.- A coin- tossing measure µ on [0, 1] is a probability measure satisfying µ = n=1 [pnδ(0) +...
We study the quantum Zeno effect in quantum statistical mechanics within the operator algebraic fram...
We present an overview of the mathematics underlying the quantum Zeno effect. Classical, functional ...
The quantum Zeno effect consists in the hindrance of the evolution of a quantum system that is very ...
We first stress that the time symmetry in quantum mechanics manifests itself in the analytical prope...
Let µ be a probability measure on the set R of real numbers and µ̂(t):=R R e ¡itλdµ(λ) (t 2 R) be th...
Mathematical investigations on quantum Zeno effect (QZE) are presented, in-cluding the following asp...
We study measures generated by systems of linear iterated functions, their Fourier transforms, and ...
The quantum Zeno effect is viewed in a geometric way. It is shown that the inhibition probability is...
The asymptotic behaviour of the Fourier transforms of orthogonal polynomials. II. L.I.F.S. measures ...
We study measures generated by systems of linear iterated functions, their Fourier transforms, and ...
We show that the quadratic short time behavior of transition probability is a natural consequence of...
We study measures generated by systems of linear iterated functions, their Fourier transforms, and t...
If frequent measurements ascertain whether a quantum system is still in a given subspace, it remains...
If very frequent periodic measurements ascertain whether a quantum system is still in its initial st...
Abstract.- A coin- tossing measure µ on [0, 1] is a probability measure satisfying µ = n=1 [pnδ(0) +...
We study the quantum Zeno effect in quantum statistical mechanics within the operator algebraic fram...
We present an overview of the mathematics underlying the quantum Zeno effect. Classical, functional ...
The quantum Zeno effect consists in the hindrance of the evolution of a quantum system that is very ...
We first stress that the time symmetry in quantum mechanics manifests itself in the analytical prope...