We derive explicit formulas for the normal ordering of powers of arbitrary monomials of boson operators. These formulas lead to generalisations of conventional Bell and Stirling numbers and to appropriate generalisations of the Dobinski relations. These new combinatorial numbers are shown to be coherent state matrix elements of powers of the monomials in question. It is further demonstrated that such Bell-type numbers, when considered as power moments, give rise to positive measures on the positive half-axis, which in many cases can be written in terms of known functions
We treat the problem of normally ordering expressions involving the standard boson operators a, ay w...
7 pages, 15 references, 2 figures. Presented at "Progress in Supersymmetric Quantum Mechanics" (PSQM...
We solve the boson normal ordering problem for (q(a�)a + v(a�))^n with arbitrary functions q(x...
We introduce a generalization of the Dobiński relation, through which we define a family of Bell-typ...
We provide the solution to the normal ordering problem for powers and exponentials of two classes of...
Conventional Bell and Stirling numbers arise naturally in the normal ordering of simple monomials in...
We present a combinatorial method of constructing solutions to the normal ordering of boson operator...
In this work we consider the problem of normal ordering of boson creation and annihilation operators...
We consider the numbers arising in the problem of normal ordering of expressions in canonical boson ...
In this paper we generalize some results of Katriel [J. Opt. B: Quantum Semiclass. Opt. 4:S200--S203...
For any function F(x) having a Taylor expansion we solve the boson normal ordering problem for $F[(a...
We discuss a general combinatorial framework for operator ordering problems by applying it to the no...
We consider sequences of generalized Bell numbers B(n), n 1, 2, ..., which can be represented by Dob...
In a series of papers, P. Blasiak et al. developed a wide-ranging generalization of Bell numbers (an...
We introduce a generalization of the Dobiński relation, through which we define a family of Bell-ty...
We treat the problem of normally ordering expressions involving the standard boson operators a, ay w...
7 pages, 15 references, 2 figures. Presented at "Progress in Supersymmetric Quantum Mechanics" (PSQM...
We solve the boson normal ordering problem for (q(a�)a + v(a�))^n with arbitrary functions q(x...
We introduce a generalization of the Dobiński relation, through which we define a family of Bell-typ...
We provide the solution to the normal ordering problem for powers and exponentials of two classes of...
Conventional Bell and Stirling numbers arise naturally in the normal ordering of simple monomials in...
We present a combinatorial method of constructing solutions to the normal ordering of boson operator...
In this work we consider the problem of normal ordering of boson creation and annihilation operators...
We consider the numbers arising in the problem of normal ordering of expressions in canonical boson ...
In this paper we generalize some results of Katriel [J. Opt. B: Quantum Semiclass. Opt. 4:S200--S203...
For any function F(x) having a Taylor expansion we solve the boson normal ordering problem for $F[(a...
We discuss a general combinatorial framework for operator ordering problems by applying it to the no...
We consider sequences of generalized Bell numbers B(n), n 1, 2, ..., which can be represented by Dob...
In a series of papers, P. Blasiak et al. developed a wide-ranging generalization of Bell numbers (an...
We introduce a generalization of the Dobiński relation, through which we define a family of Bell-ty...
We treat the problem of normally ordering expressions involving the standard boson operators a, ay w...
7 pages, 15 references, 2 figures. Presented at "Progress in Supersymmetric Quantum Mechanics" (PSQM...
We solve the boson normal ordering problem for (q(a�)a + v(a�))^n with arbitrary functions q(x...