10 citations · 27 across the 11 of their papers we have counts for
11 papers · 1 filter
Combinatorics and Boson normal ordering: A gentle introduction
P. Blasiak, A. Horzela, K. A. Penson +2
We discuss a general combinatorial framework for operator ordering problems by applying it to the normal ordering of the powers and exponential of the boson number operator. The so…
Subnormalized states and trace-nonincreasing maps
Valerio Cappellini, Hans-Juergen Sommers, Karol Zyczkowski
We investigate the set of completely positive, trace-nonincreasing linear maps acting on the set M_N of mixed quantum states of size N. Extremal point of this set of maps are chara…
Hopf Algebra Structure of a Model Quantum Field Theory
A. I. Solomon, G. E. H. Duchamp, P. Blasiak +2
Recent elegant work on the structure of Perturbative Quantum Field Theory (PQFT) has revealed an astonishing interplay between analysis(Riemann Zeta functions), topology (Knot theo…
Distribution of G-concurrence of random pure states
Valerio Cappellini, Hans-Juergen Sommers, Karol Zyczkowski
Average entanglement of random pure states of an N x N composite system is analyzed. We compute the average value of the determinant D of the reduced state, which forms an entangle…
Dobinski-type relations: Some properties and physical applications
P Blasiak, A Horzela, K A Penson +1
We introduce a generalization of the Dobinski relation through which we define a family of Bell-type numbers and polynomials. For all these sequences we find the weight function of…
Boson Normal Ordering via Substitutions and Sheffer-type Polynomials
P Blasiak, A Horzela, K A Penson +2
We solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitrary functions q and v and integer n, where a and a* are boson annihilation and creation operators, sati…