49 citations · 163 across the 4 of their papers we have counts for
5 papers
Approach to a Proof of the Riemann Hypothesis by the Second Mean-Value Theorem of Calculus
Alfred Wünsche
By the second mean-value theorem of calculus (Gauss-Bonnet theorem) we prove that the class of functions ${\mit Ξ}(z)$ with an integral representation of the form $\int_{0}^{+\inft…
Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials
Alfred Wünsche
The bilinear generating function for products of two Laguerre 2D polynomials Lm;n(z; z0) with different arguments is calculated. It corresponds to the formula of Mehler for the gen…
Energy-Sensitive and "Classical-like" Distances Between Quantum States
V. V. Dodonov, O. V. Man'ko, V. I. Man'ko +1
We introduce the concept of the ``polarized'' distance, which distinguishes the orthogonal states with different energies. We also give new inequalities for the known Hilbert-Schmi…
Radon transform and pattern functions in quantum tomography
Alfred Wünsche
The two-dimensional Radon transform of the Wigner quasiprobability is introduced in canonical form and the functions playing a role in its inversion are discussed. The transformati…
Properties of Squeezed-State Excitations
Vladimir I. Man'ko, Alfred Wünsche
The photon distribution function of a discrete series of excitations of squeezed coherent states is given explicitly in terms of Hermite polynomials of two variables. The Wigner an…