## Temporally stable coherent states for infinite well and Poschl-Teller potentials

- J. Antoine, J. Gazeau, P. Monceau, J. Klauder, K. Penson
- Mathematics, Physics
- 27 December 2000

This article is a direct illustration of a construction of coherent states which has been recently proposed by two of us (JPG and JK). We have chosen the example of a particle trapped in an infinite… Expand

## Generating random density matrices

- K. Życzkowski, K. Penson, I. Nechita, B. Collins
- Mathematics
- 18 October 2010

We study various methods to generate ensembles of random density matrices of a fixed size N, obtained by partial trace of pure states on composite systems. Structured ensembles of random pure states,… Expand

## Product of Ginibre matrices: Fuss-Catalan and Raney distributions.

- K. Penson, K. Życzkowski
- MathematicsPhysical review. E, Statistical, nonlinear, and…
- 17 March 2011

## Exact and explicit probability densities for one-sided Lévy stable distributions.

## Constructing coherent states through solutions of Stieltjes and Hausdorff moment problems

- J. Klauder, K. Penson, J. Sixdeniers
- Mathematics
- 13 June 2001

## PROBABILITY DISTRIBUTIONS WITH BINOMIAL MOMENTS

- W. Mlotkowski, K. Penson
- Mathematics
- 3 September 2013

We prove that if $p\geq 1$ and $-1\leq r\leq p-1$ then the binomial sequence $\binom{np+r}{n}$, $n=0,1,...$, is positive definite and is the moment sequence of a probability measure $\nu(p,r)$, whose… Expand

## Coherent States from Combinatorial Sequences

- K. Penson, A. Solomon
- Mathematics
- 28 November 2001

We construct coherent states using sequences of combinatorial numbers such as various binomial and trinomial numbers, and Bell and Catalan numbers. We show that these states satisfy the condition of… Expand

## Combinatorics and Boson normal ordering: A gentle introduction

- P. Blasiak, A. Horzela,
+10 authors U. Paris - Mathematics
- 24 April 2007

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 solution of the… Expand

## Integral Representations of Catalan and Related Numbers

- K. Penson, J. Sixdeniers
- Mathematics
- 1 October 2001

## ONE-PARAMETER GROUPS AND COMBINATORIAL PHYSICS

- G. Duchamp, K. Penson,
+10 authors Poland - Mathematics
- 20 January 2004

In this communication, we consider the normal ordering of sums of elements of the form (a*^r a a*^s), where a* and a are boson creation and annihilation operators. We discuss the integration of the… Expand

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