Deformed bosons: combinatorics of normal ordering

Dobiński relations and ordering of boson operators ∗)

P. Blasiak
A. Gawron
A. Horzela
K. A. Penson
A. I. Solomon

January 2006

We introduce a generalization of the Dobiński relation, through which we define a family of Bell-ty...

A generalization of the boson normal ordering

Mansour, T
Severini, S

August 2006

In this paper we generalize some results of Katriel [J. Opt. B: Quantum Semiclass. Opt. 4:S200--S203...

c Birkhauser Verlag, Basel, 2003 Annals of Combinatorics The Boson Normal Ordering Problem and Generalized

P. Blasiak
K. A. Penson
A. I. Solomon

January 2003

AMS Subject Classication: 81R05, 81R15, 81R30, 47N50 Abstract. For any function F(x) having a Taylor...

Deformed Bosons: Combinatorics of Normal Ordering

Blasiak, P
Horzela, A
Penson, K A
Solomon, A I

October 2004

We solve the normal ordering problem for (A* A)^n where A* (resp. A) are one mode deformed bosonic c...

Combinatorial solutions to normal ordering of bosons

Blasial, P.
Gawron, A.
Horzela, A.
Penson, K.A.
Solomon, A.I.

November 2005

We present a combinatorial method of constructing solutions to the normal ordering of boson operator...

Combinatorics of boson normal ordering and some applications

Blasiak, P

January 2005

We provide the solution to the normal ordering problem for powers and exponentials of two classes of...

COMBINATORICS OF BOSON NORMAL ORDERING AND SOME APPLICATIONS

Pawe L B Lasiak
Universite Pierre
Marie Curie

July 2015

In this work we consider the problem of normal ordering of boson creation and annihilation operators...

Normal Order: Combinatorial Graphs

Solomon, Allan I.
Blasiak, Pawel
Duchamp, Gerard
Horzela, Andrzej
Penson, Karol A.

February 2004

7 pages, 15 references, 2 figures. Presented at "Progress in Supersymmetric Quantum Mechanics" (PSQM...

Boson normal ordering via substitutions and Sheffer-type polynomials

Blasiak, P.
Horzela, A.
Penson, K.A.
Duchamp, G.H.E.
Solomon, A.I.

April 2005

We solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitrary functions q and v...

Boson Normal Ordering via Substitutions and Sheffer-type Polynomials

Blasiak, P
Horzela, A
Penson, K A
Duchamp, G H E
Solomon, A I

January 2005

10 pages, 24 referencesWe solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitr...

Normal ordering for deformed boson operators and operator-valued deformed stirling numbers

Katriel, J.
Kibler, M.

January 1992

14 pages, Latex fileThe normal ordering formulae for powers of the boson number operator $\hat{n}$ a...

Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem

Mendez, M A
Blasiak, P
Penson, K A

May 2005

We consider the numbers arising in the problem of normal ordering of expressions in canonical boson ...

Combinatorics and Boson normal ordering: A gentle introduction

Blasiak, Pawel
Horzela, Andrzej
Penson, Karol A.
Solomon, Allan I.
Duchamp, Gerard H.E.

July 2007

We discuss a general combinatorial framework for operator ordering problems by applying it to the no...

Combinatorial Physics, Normal Order and Model Feynman Graphs

Solomon, A I
Blasiak, P
Duchamp, G
Horzela, A
Penson, K A

October 2003

The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...

Combinatorial physics, normal order and model Feynman graphs

Solomon, A.I.
Blasiak, P.
Duchamp, G.
Horzela, A.
Penson, K.A.

January 2003

The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...

Dobiński relations and ordering of boson operators ∗)

P. Blasiak
A. Gawron
A. Horzela
K. A. Penson
A. I. Solomon

January 2006

We introduce a generalization of the Dobiński relation, through which we define a family of Bell-ty...

A generalization of the boson normal ordering

Mansour, T
Severini, S

August 2006

In this paper we generalize some results of Katriel [J. Opt. B: Quantum Semiclass. Opt. 4:S200--S203...

c Birkhauser Verlag, Basel, 2003 Annals of Combinatorics The Boson Normal Ordering Problem and Generalized

P. Blasiak
K. A. Penson
A. I. Solomon

January 2003

AMS Subject Classication: 81R05, 81R15, 81R30, 47N50 Abstract. For any function F(x) having a Taylor...

Deformed Bosons: Combinatorics of Normal Ordering

Blasiak, P
Horzela, A
Penson, K A
Solomon, A I

October 2004

We solve the normal ordering problem for (A* A)^n where A* (resp. A) are one mode deformed bosonic c...

Combinatorial solutions to normal ordering of bosons

Blasial, P.
Gawron, A.
Horzela, A.
Penson, K.A.
Solomon, A.I.

November 2005

We present a combinatorial method of constructing solutions to the normal ordering of boson operator...

Combinatorics of boson normal ordering and some applications

Blasiak, P

January 2005

We provide the solution to the normal ordering problem for powers and exponentials of two classes of...

COMBINATORICS OF BOSON NORMAL ORDERING AND SOME APPLICATIONS

Pawe L B Lasiak
Universite Pierre
Marie Curie

July 2015

In this work we consider the problem of normal ordering of boson creation and annihilation operators...

Normal Order: Combinatorial Graphs

Solomon, Allan I.
Blasiak, Pawel
Duchamp, Gerard
Horzela, Andrzej
Penson, Karol A.

February 2004

7 pages, 15 references, 2 figures. Presented at "Progress in Supersymmetric Quantum Mechanics" (PSQM...

Boson normal ordering via substitutions and Sheffer-type polynomials

Blasiak, P.
Horzela, A.
Penson, K.A.
Duchamp, G.H.E.
Solomon, A.I.

April 2005

We solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitrary functions q and v...

Boson Normal Ordering via Substitutions and Sheffer-type Polynomials

Blasiak, P
Horzela, A
Penson, K A
Duchamp, G H E
Solomon, A I

January 2005

10 pages, 24 referencesWe solve the boson normal ordering problem for (q(a*)a + v(a*))^n with arbitr...

Normal ordering for deformed boson operators and operator-valued deformed stirling numbers

Katriel, J.
Kibler, M.

January 1992

14 pages, Latex fileThe normal ordering formulae for powers of the boson number operator $\hat{n}$ a...

Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem

Mendez, M A
Blasiak, P
Penson, K A

May 2005

We consider the numbers arising in the problem of normal ordering of expressions in canonical boson ...

Combinatorics and Boson normal ordering: A gentle introduction

Blasiak, Pawel
Horzela, Andrzej
Penson, Karol A.
Solomon, Allan I.
Duchamp, Gerard H.E.

July 2007

We discuss a general combinatorial framework for operator ordering problems by applying it to the no...

Combinatorial Physics, Normal Order and Model Feynman Graphs

Solomon, A I
Blasiak, P
Duchamp, G
Horzela, A
Penson, K A

October 2003

The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...

Combinatorial physics, normal order and model Feynman graphs

Solomon, A.I.
Blasiak, P.
Duchamp, G.
Horzela, A.
Penson, K.A.

January 2003

The general normal ordering problem for boson strings is a combinatorial problem. In this note we re...

Dobiński relations and ordering of boson operators ∗)

P. Blasiak
A. Gawron
A. Horzela
K. A. Penson
A. I. Solomon

January 2006

We introduce a generalization of the Dobiński relation, through which we define a family of Bell-ty...

A generalization of the boson normal ordering

Mansour, T
Severini, S

August 2006

In this paper we generalize some results of Katriel [J. Opt. B: Quantum Semiclass. Opt. 4:S200--S203...

c Birkhauser Verlag, Basel, 2003 Annals of Combinatorics The Boson Normal Ordering Problem and Generalized

P. Blasiak
K. A. Penson
A. I. Solomon

January 2003

AMS Subject Classication: 81R05, 81R15, 81R30, 47N50 Abstract. For any function F(x) having a Taylor...

Deformed bosons: combinatorics of normal ordering

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Deformed bosons: combinatorics of normal ordering

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