A. I. Solomon

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All published works

Action	Title	Year	Authors
+	Spatio-Temporal Deep Graph Infomax	2019	Felix L. Opolka A. I. Solomon Cătălina Cangea Petar Veličković Píetro Lió R Devon Hjelm
+ PDF Chat	Degrees of entanglement for multipartite systems	2013	A. I. Solomon C.-L. Ho Gérard Duchamp
+ PDF Chat	Generalized Bargmann functions, their growth and von Neumann lattices	2012	A. Vourdas K. A. Penson Gérard Duchamp A. I. Solomon
+ PDF Chat	From Quantum Mechanics to Quantum Field Theory: The Hopf route	2011	A. I. Solomon Gérard Duchamp Paweł Błasiak A. Horzela K. A. Penson
+ PDF Chat	Quasiclassical asymptotics and coherent states for bounded discrete spectra	2010	K. Górska K. A. Penson A. Horzela Gérard Duchamp Paweł Błasiak A. I. Solomon
+ PDF Chat	Quantum entanglement, unitary braid representation and Temperley-Lieb algebra	2010	C.-L. Ho A. I. Solomon C. H. Oh
+ PDF Chat	On certain non-unique solutions of the Stieltjes moment problem	2010	K. A. Penson Paweł Błasiak Gérard Duchamp A. Horzela A. I. Solomon
+ PDF Chat	A generic Hopf algebra for quantum statistical mechanics	2010	A. I. Solomon Gérard Duchamp Paweł Błasiak A. Horzela K. A. Penson
+ PDF Chat	Graph model of the Heisenberg–Weyl algebra	2010	Paweł Błasiak A. Horzela Gérard Duchamp K. A. Penson A. I. Solomon
+ PDF Chat	A three-parameter Hopf deformation of the algebra of Feynman-like diagrams*	2010	Gérard Duchamp Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon
+ PDF Chat	Hopf algebras: motivations and examples	2010	Gérard Duchamp Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon
+	Combinatorial Algebra for second-quantized Quantum Theory	2010	Paweł Błasiak Gérard Duchamp A. I. Solomon A. Horzela K. A. Penson
+ PDF Chat	Laguerre-type derivatives: Dobiński relations and combinatorial identities	2009	K. A. Penson Paweł Błasiak A. Horzela Gérard Duchamp A. I. Solomon
+	Heisenberg-Weyl algebra revisited: Combinatorics of words and paths	2009	Paweł Błasiak A. Horzela Gérard Duchamp K. A. Penson A. I. Solomon
+	On certain non-unique solutions of the Stieltjes moment problem	2009	K. A. Penson Paweł Błasiak Gérard Duchamp A. Horzela A. I. Solomon
+ PDF Chat	Heisenberg–Weyl algebra revisited: combinatorics of words and paths	2008	Paweł Błasiak Gérard Duchamp A. Horzela K. A. Penson A. I. Solomon
+ PDF Chat	Combinatorics and Boson normal ordering: A gentle introduction	2007	Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon Gérard Duchamp
+ PDF Chat	Dobiński relations and ordering of boson operators	2006	Paweł Błasiak Agnieszka Gawron A. Horzela K. A. Penson A. I. Solomon
+ PDF Chat	Dobiński-type relations: some properties and physical applications	2006	Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon
+	Exponential Operators, Dobiński Relations and Summability	2006	Paweł Błasiak Agnieszka Gawron A. Horzela K. A. Penson A. I. Solomon
+	Monomiality principle, Sheffer-type polynomials and the normal ordering problem	2006	K. A. Penson Paweł Błasiak G. Dattoli Gérard Duchamp A. Horzela A. I. Solomon
+ PDF Chat	Feynman graphs and related Hopf algebras	2006	Gérard Duchamp Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon
+ PDF Chat	Combinatorial solutions to normal ordering of bosons	2005	Paweł Błasiak Agnieszka Gawron A. Horzela K. A. Penson A. I. Solomon
+ PDF Chat	Controllability of multi-partite quantum systems and selective excitation of quantum dots	2005	S. G. Schirmer I. C. H. Pullen A. I. Solomon
+ PDF Chat	Some useful combinatorial formulas for bosonic operators	2005	Paweł Błasiak K. A. Penson A. I. Solomon A. Horzela Gérard Duchamp
+ PDF Chat	Boson normal ordering via substitutions and Sheffer-type polynomials	2005	Paweł Błasiak A. Horzela K. A. Penson Gérard Duchamp A. I. Solomon
+ PDF Chat	Deformed Bosons: Combinatorics of Normal Ordering	2004	Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon
+ PDF Chat	Constraints on relaxation rates for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-level quantum systems	2004	S. G. Schirmer A. I. Solomon
+	Combinatorial Field Theories via Boson Normal Ordering	2004	Paweł Błasiak K. A. Penson A. I. Solomon A. Horzela G. E. H. Duchamp
+ PDF Chat	Hierarchical Dobi ski-type relations via substitution and the moment problem	2004	K. A. Penson Paweł Błasiak Gérard Duchamp A. Horzela A. I. Solomon
+	Dissipative Quantum Control	2004	A. I. Solomon S. G. Schirmer
+	A product formula and combinatorial field theory	2004	A. Horzela Paweł Błasiak Gérard Duchamp K. A. Penson A. I. Solomon
+	The Boson Normal Ordering Problem and Generalized Bell Numbers	2003	Paweł Błasiak K. A. Penson A. I. Solomon
+ PDF Chat	Dobi ski-type relations and the log-normal distribution	2003	Paweł Błasiak K. A. Penson A. I. Solomon
+	Controllability of Quantum Systems	2003	S. G. Schirmer I. C. H. Pullen A. I. Solomon
+ PDF Chat	Criteria for reachability of quantum states	2002	S. G. Schirmer A. I. Solomon John Leahy
+ PDF Chat	COHERENT STATES FROM COMBINATORIAL SEQUENCES	2002	K. A. Penson A. I. Solomon
+ PDF Chat	Degrees of controllability for quantum systems and application to atomic systems	2002	S. G. Schirmer A. I. Solomon John Leahy
+ PDF Chat	Identification of dynamical Lie algebras for finite-level quantum control systems	2002	S. G. Schirmer I. C. H. Pullen A. I. Solomon
+	The Boson Normal Ordering Problem and Generalized Bell Numbers	2002	Paweł Błasiak K. A. Penson A. I. Solomon
+	Dynamical Lie group action on kinematical equivalence classes and criteria for reachability of states for quantum systems	2001	S. G. Schirmer A. I. Solomon John Leahy
+	Extended Bell and Stirling Numbers from Hypergeometric Exponentiation	2001	J. M. Sixdeniers K. A. Penson A. I. Solomon
+ PDF Chat	Complete controllability of quantum systems	2001	S. G. Schirmer Hongyan Fu A. I. Solomon
+ PDF Chat	Complete controllability of finite-level quantum systems	2001	Hongyan Fu S. G. Schirmer A. I. Solomon
+ PDF Chat	Robust quantum memory via quantum control	2001	S. G. Schirmer Andrew D. Greentree A. I. Solomon
+	Extended Bell and Stirling numbers from hypergeometric exponentiation	2001	J. M. Sixdeniers K. A. Penson A. I. Solomon
+	Robust quantum memory via quantum control	2001	Andrew D. Greentree S. G. Schirmer A. I. Solomon
+	Quantum control of population inversion in the presence of spontaneous emission	2001	S. G. Schirmer Andrew D. Greentree A. I. Solomon
+	Mittag-Leffler coherent states	1999	J. M. Sixdeniers K. A. Penson A. I. Solomon
+	Interaction of Interpolating Number-Coherent States with Atomic Systems	1999	Yinqi Feng Hong‐Chen Fu A. I. Solomon
+ PDF Chat	Structure of the Bose-Einstein condensate ground state	1999	A. I. Solomon Yu-Jie Feng Vittorio Penna
+	States interpolating between number and coherent states	1999	Hong‐Chen Fu Yinqi Feng A. I. Solomon
+	Integrable representations of the ultra-commutation relations	1997	D. A. Dubin Mark A. Hennings A. I. Solomon
+	Squeezed states parametrized by elements of noncommutative algebras	1996	Roger McDermott A. I. Solomon
+	NOISE REDUCTION IN GENERALIZED <font>q</font>–COHERENT STATES	1994	Roger McDermott A. I. Solomon
+	Comment on 'Generalized commutators and deformation of strong-coupling superconductivity'	1994	A. I. Solomon Roger McDermott
+	An analogue of the unitary displacement operator for the q-oscillator	1994	Roger McDermott A. I. Solomon
+	Double squeezing in generalized q-coherent states	1994	Roger McDermott A. I. Solomon
+	Multi-mode q-coherent states	1993	A. I. Solomon Jacob Katriel
+	A q-analogue of the Campbell-Baker-Hausdorff expansion	1991	Jacob Katriel A. I. Solomon
+	Generalized q-bosons and their squeezed states	1991	Jacob Katriel A. I. Solomon
+	Spectrum generating superalgebra of a Fermi-linearized n-cluster Hubbard model	1991	Arianna Montorsi Mario Rasetti A. I. Solomon
+	On q-squeezed states	1990	A. I. Solomon Jacob Katriel
+	Superalgebraic solution to the mean-field Hubbard model	1989	Arianna Montorsi Mario Rasetti A. I. Solomon
+	Algebra and Superalgebra	1989	A. I. Solomon
+	Dynamical Lie Algebras	1987	A. I. Solomon
+	Deterministic Chaos, an Introduction	1986	A. I. Solomon
+	THE ISING ALGEBRA	1977	A. I. Solomon

Common Coauthors

Coauthor	Papers Together
K. A. Penson	33
Paweł Błasiak	28
A. Horzela	25
Gérard Duchamp	21
S. G. Schirmer	13
Roger McDermott	5
Jacob Katriel	4
Agnieszka Gawron	3
J. M. Sixdeniers	3
I. C. H. Pullen	3
Andrew D. Greentree	3
John Leahy	3
C.-L. Ho	2
Hongyan Fu	2
Yinqi Feng	2
Mario Rasetti	2
Hong‐Chen Fu	2
Arianna Montorsi	2
G. Dattoli	1
Petar Veličković	1
Vittorio Penna	1
A. Vourdas	1
Felix L. Opolka	1
K. Górska	1
D. A. Dubin	1
Píetro Lió	1
Mark A. Hennings	1
Cătălina Cangea	1
R Devon Hjelm	1
C. H. Oh	1
Yu-Jie Feng	1
G. E. H. Duchamp	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Combinatorial aspects of boson algebra	1974	Jacob Katriel	11
+ PDF Chat	The general boson normal ordering problem	2003	Paweł Błasiak K. A. Penson A. I. Solomon	9
+	Bell numbers and coherent states	2000	Jacob Katriel	8
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota	8
+ PDF Chat	Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem	2005	Miguel A. Méndez Paweł Błasiak K. A. Penson	8
+	On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)<sub>q</sub>	1989	Alan Macfarlane	7
+	Constructing coherent states through solutions of Stieltjes and Hausdorff moment problems	2001	John R. Klauder K. A. Penson J. M. Sixdeniers	7
+ PDF Chat	Some useful combinatorial formulas for bosonic operators	2005	Paweł Błasiak K. A. Penson A. I. Solomon A. Horzela Gérard Duchamp	7
+	The quantum group SU<sub>q</sub>(2) and a q-analogue of the boson operators	1989	L. C. Biedenharn	7
+	Advanced Combinatorics	1976	John R. Riordan Louis Comtet	7
+	Advanced Combinatorics	1974	Louis Comtet	7
+ PDF Chat	Boson normal ordering via substitutions and Sheffer-type polynomials	2005	Paweł Błasiak A. Horzela K. A. Penson Gérard Duchamp A. I. Solomon	6
+	On the q oscillator and the quantum algebra su<sub>q</sub>(1,1)	1990	P. P. Kulish E. V. Damaskinsky	6
+ PDF Chat	NORMAL ORDER: COMBINATORIAL GRAPHS	2004	Allan I. Solomon Paweł Błasiak A. Horzela Karol A. Penson GERARD DUCHAMP	6
+	Hilbert spaces of analytic functions and generalized coherent states	1976	M. Arık D. D. Coon	6
+ PDF Chat	COHERENT STATES FROM COMBINATORIAL SEQUENCES	2002	K. A. Penson A. I. Solomon	5
+	The Boson Normal Ordering Problem and Generalized Bell Numbers	2003	Paweł Błasiak K. A. Penson A. I. Solomon	5
+ PDF Chat	COHERENT STATE MEASURES AND THE EXTENDED DOBIŃSKI RELATIONS	2003	K. A. Penson Allan I. Solomon	5
+	Combinatorics and fermion algebra	1973	A. Navon	5
+ PDF Chat	Combinatorics and Boson normal ordering: A gentle introduction	2007	Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon Gérard Duchamp	5
+	Handbook of integral transforms of higher transcendental functions : theory and algorithmic tables	1983	O. I. Marichev	5
+	Generalized q-bosons and their squeezed states	1991	Jacob Katriel A. I. Solomon	5
+ PDF Chat	Limits of control for quantum systems: Kinematical bounds on the optimization of observables and the question of dynamical realizability	2001	S. G. Schirmer John Leahy	4
+	Combinatorics of boson normal ordering and some applications	2005	Paweł Błasiak	4
+ PDF Chat	Dobiński-type relations: some properties and physical applications	2006	Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon	4
+ PDF Chat	ONE-PARAMETER GROUPS AND COMBINATORIAL PHYSICS	2004	Gérard Duchamp K. A. Penson Allan I. Solomon A. Horzela Paweł Błasiak	4
+	Rook numbers and the normal ordering problem	2005	Anna Varvak	4
+ PDF Chat	Degrees of controllability for quantum systems and application to atomic systems	2002	S. G. Schirmer A. I. Solomon John Leahy	4
+	q-hypergeometric functions and applications	1984	Harold Exton	4
+	Ordering relations for q-boson operators, continued fraction techniques and the q-CBH enigma	1995	Jacob Katriel Gérard Duchamp	4
+ PDF Chat	Complete controllability of finite-level quantum systems	2001	Hongyan Fu S. G. Schirmer A. I. Solomon	4
+	The Umbral Calculus	1984	Steven Roman	4
+	Evolution operator equations: Integration with algebraic and finitedifference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory	1997	G. Dattoli P. L. Ottaviani A. Torre Luis Vázquez	4
+	Partition functions and graphs: A combinatorial approach	2004	Allan I. Solomon Paweł Błasiak Gérard Duchamp A. Horzela K. A. Penson	4
+ PDF Chat	Hierarchical Dobi ski-type relations via substitution and the moment problem	2004	K. A. Penson Paweł Błasiak Gérard Duchamp A. Horzela A. I. Solomon	4
+	Combinatorial Field Theories via Boson Normal Ordering	2004	Paweł Błasiak K. A. Penson A. I. Solomon A. Horzela G. E. H. Duchamp	4
+	Enumerative Combinatorics	1999	Richard P. Stanley Sergey Fomin	3
+ PDF Chat	Feynman graphs and related Hopf algebras	2006	Gérard Duchamp Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon	3
+	Combinatorial Physics, Normal Order and Model Feynman Graphs	2005	A. I. Solomon Paweł Błasiak Gérard Duchamp A. Horzela K. A. Penson	3
+	An Introduction to Combinatorial Analysis	1958	R. A. Leibler John Riordan	3
+	ANALYTIC COMBINATORICS — SYMBOLIC COMBINATORICS	2002	Philippe Flajolet Robert Sedgewick	3
+ PDF Chat	Complete controllability of quantum systems	2001	S. G. Schirmer Hongyan Fu A. I. Solomon	3
+ PDF Chat	Efficient algorithm for optimal control of mixed-state quantum systems	1999	S. G. Schirmer M. D. Girardeau John Leahy	3
+	Dynamics of a<i>Q</i>-analogue of the Quantum Harmonic Oscillator	1991	Vladimír Bužek	3
+	The Number of Partitions of a Set	1964	Gian‐Carlo Rota	3
+	A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator	1998	Wusheng Zhu Herschel Rabitz	3
+ PDF Chat	Deformed Bosons: Combinatorics of Normal Ordering	2004	Paweł Błasiak A. Horzela K. A. Penson A. I. Solomon	3
+	Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model	1990	Масуд Чайчиан Demosthenes Ellinas P. P. Kulish	3
+ PDF Chat	Dobi ski-type relations and the log-normal distribution	2003	Paweł Błasiak K. A. Penson A. I. Solomon	3
+	Mittag-Leffler coherent states	1999	J. M. Sixdeniers K. A. Penson A. I. Solomon	3