Add to ORKGWe solve the normal ordering problem for (A* A)^n where A* (resp. A) are one mode deformed bosonic creation (resp. annihilation) operators satisfying [A,A*]=[N+1]-[N]. The solution generalizes results known for canonical and q-bosons. It involves combinatorial polynomials in the number operator N for which the generating functions and explicit expressions are found. Simple deformations provide examples of the method
AMS Subject Classication: 81R05, 81R15, 81R30, 47N50 Abstract. For any function F(x) having a Taylor...
The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...
The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...
We solve the normal ordering problem for (A† A)n where A and A† are one mode deformed ([A,A†] = [N+...
In this work we consider the problem of normal ordering of boson creation and annihilation operators...
We provide the solution to the normal ordering problem for powers and exponentials of two classes of...
We present a combinatorial method of constructing solutions to the normal ordering of boson operator...
We solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitrary functions q and v...
10 pages, 24 referencesWe solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitr...
14 pages, Latex fileThe normal ordering formulae for powers of the boson number operator $\hat{n}$ a...
We consider the numbers arising in the problem of normal ordering of expressions in canonical boson ...
7 pages, 15 references, 2 figures. Presented at "Progress in Supersymmetric Quantum Mechanics" (PSQM...
We discuss a general combinatorial framework for operator ordering problems by applying it to the no...
In this paper we generalize some results of Katriel [J. Opt. B: Quantum Semiclass. Opt. 4:S200--S203...
In this article combinatorial aspects of normal ordering annihilation and creation operators of a mu...
AMS Subject Classication: 81R05, 81R15, 81R30, 47N50 Abstract. For any function F(x) having a Taylor...
The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...
The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...
We solve the normal ordering problem for (A† A)n where A and A† are one mode deformed ([A,A†] = [N+...
In this work we consider the problem of normal ordering of boson creation and annihilation operators...
We provide the solution to the normal ordering problem for powers and exponentials of two classes of...
We present a combinatorial method of constructing solutions to the normal ordering of boson operator...
We solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitrary functions q and v...
10 pages, 24 referencesWe solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitr...
14 pages, Latex fileThe normal ordering formulae for powers of the boson number operator $\hat{n}$ a...
We consider the numbers arising in the problem of normal ordering of expressions in canonical boson ...
7 pages, 15 references, 2 figures. Presented at "Progress in Supersymmetric Quantum Mechanics" (PSQM...
We discuss a general combinatorial framework for operator ordering problems by applying it to the no...
In this paper we generalize some results of Katriel [J. Opt. B: Quantum Semiclass. Opt. 4:S200--S203...
In this article combinatorial aspects of normal ordering annihilation and creation operators of a mu...
AMS Subject Classication: 81R05, 81R15, 81R30, 47N50 Abstract. For any function F(x) having a Taylor...
The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...
The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...