52 citations · 453 across the 42 of their papers we have counts for
8 papers · 1 filter
Squeezed States and Hermite polynomials in a Complex Variable
S. T. Ali, K. Gorska, A. Horzela +1
Following the lines of the recent paper of J.-P. Gazeau and F. H. Szafraniec [J. Phys. A: Math. Theor. 44, 495201 (2011)], we construct here three types of coherent states, related…
Hopf Algebras in General and in Combinatorial Physics: a practical introduction
G. H. E. Duchamp, P. Blasiak, A. Horzela +2
This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with…
Combinatorial Solutions to Normal Ordering of Bosons
P. Blasiak, A. Gawron, A. Horzela +2
We present a combinatorial method of constructing solutions to the normal ordering of boson operators. Generalizations of standard combinatorial notions - the Stirling and Bell num…
Exponential Operators, Dobinski Relations and Summability
P. Blasiak, A. Gawron, A. Horzela +2
We investigate properties of exponential operators preserving the particle number using combinatorial methods developed in order to solve the boson normal ordering problem. In part…
Representations of Monomiality Principle with Sheffer-type Polynomials and Boson Normal Ordering
P Blasiak, G Dattoli, A Horzela +1
We construct explicit representations of the Heisenberg-Weyl algebra [P,M]=1 in terms of ladder operators acting in the space of Sheffer-type polynomials. Thus we establish a link…
Normal Order: Combinatorial Graphs
Allan I. Solomon, Gerard Duchamp, Pawel Blasiak +2
A conventional context for supersymmetric problems arises when we consider systems containing both boson and fermion operators. In this note we consider the normal ordering problem…