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Items Authored or Edited by Allan Solomon

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Number of items: 63.

2012

Solomon, Allan I. and Ho, Choon-Lin (2012). Condition for tripartite entanglement. Journal of Physics: Conference Series, 343 012114.

Vourdas, A.; Penson, K. A.; Duchamp, G. H.E and Solomon, A. I. (2012). Generalized Bargmann functions, their growth and von Neumann lattices. Journal of Physics A: Mathematical and Theoretical, 45 244031- 244039.

2011

Solomon, Allan I. and Schirmer, Sophie G. (2011). Quantum control of two-qubit entanglement dissipation. Journal of Russian Laser Research, 32(5) pp. 502–510.

Duchamp, Gérard H. E.; Minh, Hoang Ngoc; Solomon, Allan I. and Goodenough, Silvia (2011). An interface between physics and number theory. Journal of Physics: Conference Series, 284(1) 012023.

Solomon, A. I.; Duchamp, G. H. E.; Blasiak, P.; Horzela, A. and Penson, K. A. (2011). From quantum mechanics to quantum field theory: The Hopf route. Journal of Physics: Conference Series, 284 012055.

Deneufchâtel, Matthieu; Duchamp, Gérard H. E.; Minh, Vincel Hoang Gnoc and Solomon, Allan I. (2011). Independence of hyperlogarithms over function fields via algebraic combinatorics. In: CAI 2011 : 4th conference on algebraic informatics, 21-24 Jun 2011, Hagenberg/Linz, Austria.

2010

Ho, C.-L.; Solomon, A. I. and Oh, C.-H. (2010). Quantum entanglement, unitary braid representation and Temperley-Lieb algebra. Europhysics Letters, 92 30002(1)-30002(5).

Solomon, Allan I. (2010). Normal ordering and abnormal nonsense. Foundations of Physics, 40(7) pp. 684–691.

Duchamp, G. H. E.; Blasiak, P.; Horzela, A.; Penson, K. A. and Solomon, A. I. (2010). A three-parameter Hopf deformation of the algebra of Feynman-like diagrams. Journal of Russian Laser Research, 31(2) pp. 162–181.

Solomon, Allan (2010). Bell, Group and Tangle. Physics of Atomic Nuclei, 73(3) pp. 524–533.

Duchamp, Gerard H. E.; Poinsot, Laurent; Solomon, Allan I.; Penson, Karol A.; Blasiak, Pawel and Horzela, Andrzej (2010). Ladder operators and endomorphisms in combinatorial Physics. Discrete Mathematics & Theoretical Computer Science, 12(2) pp. 23–46.

Penson, Karol A.; Blasiak, Pawel; Duchamp, Gerard H. E.; Horzela, Andrzej and Solomon, Allan I. (2010). On certain non-unique solutions of the Stieltjes moment problem. Discrete Mathematics & Theoretical Computer Science, 12(2) pp. 295–306.

Solomon, A. I.; Duchamp, G. H. E.; Blasiak, P.; Horzela, A. and Penson, K. A. (2010). A generic Hopf algebra for quantum statistical mechanics. Physica Scripta, 82(3) 038115.

Górska, K.; Penson, K. A.; Horzela, A.; Duchamp, G. H. E.; Blasiak, P. and Solomon, A. I. (2010). Quasiclassical asymptotics and coherent states for bounded discrete spectra. Journal of Mathematical Physics, 51(12) p. 122102.

Blasiak, Pawel; Duchamp, Gerard H.E.; Solomon, Allan I.; Horzela, Andrzej and Penson, Karol A. (2010). Combinatorial algebra for second-quantized Quantum Theory. Advances in Theoretical and Mathematical Physics, 14(4) pp. 1209–1243. file

Solomon, Allan and Ho, Choon-Lin (2010). Links and quantum entanglement. In: Conference on Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity, 24-26 Feb 2010, Singapore.

2009

Penson, K. A.; Blasiak, P.; Horzela, A.; Duchamp, G. H. E. and Solomon, A. I. (2009). Laguerre-type derivatives: Dobiński relations and combinatorial identities. Journal of Mathematical Physics, 50(8) 083512. file

Duchamp, G. H. E.; Blasiak, P.; Horzela, A.; Penson, K. A. and Solomon, A. I. (2009). Hopf algebras: motivations and examples. Journal of Physics: Conference Series, 213 012011.

Blasiak, P.; Horzela, A.; Duchamp, G. H. E.; Penson, K. A. and Solomon, A. I. (2009). Graph model of the Heisenberg–Weyl algebra. Journal of Physics: Conference Series, 213 012014.

Solomon, Allan (2009). Hopf algebra structure of a model quantum field theory. In: 26th International Colloquium on Group Theoretical Methods in Physics, 26-30 Jun 2006, New York, USA. file

2008

Solomon, Allan (2008). Generic dissipation of entanglement. European Physical Journal - Special Topics, 160(1) pp. 391–397.

Blasiak, P.; Duchamp, G. H. E.; Horzela, A.; Penson, K. A. and Solomon, A. (2008). Heisenberg–Weyl algebra revisited: combinatorics of words and paths. Journal of Physics A: Mathematical and General, 41 p. 415204.

2007

Blasiak, Pawel; Horzela, Andrzej; Penson, Karol A.; Solomon, Allan I. and Duchamp, Gerard H.E. (2007). Combinatorics and Boson normal ordering: A gentle introduction. American Journal of Physics, 75(7) pp. 639–646.

Solomon, Allan I. and Schirmer, Sonia G. (2007). Dissipative effects in Multilevel Systems. Journal of Physics: Conference Series, 87 pp. 1–11. file

2006

Solomon, A.I. and Schirmer, S.G. (2006). Bohm-Aharonov type effects in dissipative atomic systems. In: Ge, Mo-Lin and Zhang, Weiping eds. Differential geometry and physics. Nankai Tracts in Mathematics, 10. Singapore: World Scientific Publishing Company, pp. 420–428.

Blasiak, P.; Gawron, A.; Horzela, A.; Penson, K. A. and Solomon, A. I. (2006). Dobiński relations and ordering of boson operators. Czechoslovak Journal of Physics, 56(10-11) pp. 1093–1098. file

Blasiak, P.; Horzela, A.; Penson, K. A. and Solomon, A. I. (2006). Dobinski-type relations: some properties and physical applications. Journal of Physics A: Mathematical and General, 39 pp. 4999–5006.

Blasiak, P.; Gawron, A.; Horzela, A.; Penson, K.A. and Solomon, A.I. (2006). Exponential Operators, Dobinski Relations and Summability. Journal of Physics: Conference Series, 36 pp. 22–27. file

Duchamp, G.H.E.; Blasiak, P.; Penson, K.A. and Solomon, A.I. (2006). Feynman graphs and related Hopf algebras. Journal of Physics: Conference Series, 30 pp. 107–118. file

Penson, K.A.; Blasiak, P.; Dattoli, G.; Duchamp, G.H.E.; Horzela, A. and Solomon, A.I. (2006). Monomiality principle, Sheffer-type polynomials and the normal ordering problem. Journal of Physics: Conference Series, 30 pp. 86–97. file

2005

Solomon, Allan I. (2005). Thermalization of squeezed states. Journal of Optics B: Quantum and Semiclassical Optics, 7(12) S544-S547.

Blasial, P.; Gawron, A.; Horzela, A.; Penson, K.A. and Solomon, A.I. (2005). Combinatorial solutions to normal ordering of bosons. Czechoslovak Journal of Physics, 55(11) pp. 1335–1341.

Schirmer, S.G.; Pullen, I.C.H. and Solomon, A.I. (2005). Controllability of multi-partite quantum systems and selective excitation of quantum dots. Journal of Optics B: Quantum and Semiclassical Optics, 7(10) S293-S299.

Blasiak, P.; Penson, K.A.; Solomon, A.I.; Horzela, A. and Duchamp, G.H.E. (2005). Some useful combinatorial formulas for bosonic operators. Journal of Mathematical Physics, 46(5) file

Blasiak, P.; Horzela, A.; Penson, K.A.; Duchamp, G.H.E. and Solomon, A.I. (2005). Boson normal ordering via substitutions and Sheffer-type polynomials. Physics Letters A, 338(2) pp. 108–116.

2004

Blasiak, P.; Horzela, A.; Penson, K. A. and Solomon, A. I. (2004). Deformed bosons: combinatorics of normal ordering. Czechoslovak Journal of Physics, 54(11) pp. 1179–1184.

Schirmer, S.G. and Solomon, A.I. (2004). Constraints on relaxation rates for N-level quantum systems. Physical Review A, 70(2) 022107. file

Duchamp, Gerard; Penson, Karol A.; Solomon, Allan I.; Horzela, Andrej and Blasiak, Pawel (2004). One-parameter groups and combinatorial physics. In: Third International Workshop on Contemporary Problems in Mathematical Physics (COPROMAPH3), Nov 2003, Porto-Novo, Benin.

Blasiak, Pawel; Penson, Karol A. and Solomon, Allan I. (2004). Combinatorial coherent states via normal ordering of bosons. Letters in Mathematical Physics, 67(1) pp. 13–23.

Solomon, A.I. and Schirmer, S.G. (2004). Dissipative quantum control. In: 8th International Conference on Squeezed States and Uncertainty Relations, Jul 2003, Puebla, Mexico.

Penson, K. A.; Blasiak, P.; Duchamp, G.; Horzela, A. and Solomon, A. I. (2004). Hierarchical Dobi ski-type relations via substitution and the moment problem. Journal of Physics A: Mathematical and General, 37(10) pp. 3475–3487.

Horzela, A.; Blasiak, P.; Duchamp, G. E. H.; Penson, K. A. and Solomon, A. I. (2004). A product formula and combinatorial field theory. In: Proceedings of the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11), 21-24 Jun 2004, Prague. file

Solomon, A. I.; Blasiak, P.; Duchamp, G. E. H.; Horzela, A. and Penson, K. A. (2004). Partition functions and graphs: A combinatorial approach. In: Proceedings of the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11), 21-24 Jun 2004, Prague. file

2003

Blasiak, P.; Penson, K.A. and Solomon, A.I. (2003). The Boson normal ordering problem and generalized Bell numbers. Annals of Combinatorics, 7(2) pp. 127–139.

Solomon, Allan I.; Duchamp, Gerard; Blasiak, Pawel; Horzela, Andrzej and Penson, Karol A. (2003). Normal order: combinatorial graphs. In: Progress in Supersymmetric Quantum Mechanics (PSQM'03), Jul 2003, Valladolid, Spain.

Penson, Karol A. and Solomon, Allan I. (2003). Coherent State Measures and the Extended Dobinski relations. In: Lulek, B; Lulek, T and Wal, A eds. Symetry and structural properties of condensed matter, Volume 1. Singapore: World Scientific Publishing, pp. 64–73.

Blasiak, P.; Penson, K.A. and Solomon, A.I. (2003). The General boson normal ordering problem. Physics Letters A, 309(3-4) pp. 198–205.

Fu, Hongchen; Solomon, Allan I. and Wang, Xiaoguang (2003). Critical temperature for entanglement transition in Heisenberg models. In: Group 24; Physical and Mathematical Aspects of Symmetries, 2003. file

Solomon, A.I.; Blasiak, P.; Duchamp, G.; Horzela, A. and Penson, K.A. (2003). Combinatorial physics, normal order and model Feynman graphs. In: Symmetries in Science XIII, 2003, Bregenz, Austria.

Blasiak, P.; Penson, K.A. and Solomon, A.I. (2003). Dobinski-type relations and the log-normal distribution. Journal of Physics A: Mathematical and General, 36(18) L273-L278.

Schirmer, S.G.; Pullen, I.C.H. and Solomon, A.I. (2003). Controllability of quantum systems. In: Proceedings of Conference on Lagrangian and Hamiltonian Methods in Non-Linear Control, 2003, Seville, Spain.

2002

Schirmer, S.G.; Solomon, A.I. and Leahy, J.V. (2002). Criteria for reachability of quantum states. Journal of Physics A: Mathematical and General, 35(40) pp. 8551–8562.

Solomon, Allan I. and Schirmer, Sonia G. (2002). Dissipative "Groups" and the Bloch Ball. In: Proceedings of Group 24, Physical and Mathematical Aspects of Symmetry, Institute of Physics Conference Series, Jul 2002, Paris, France.

Solomon, Allan I. and Schirmer, Sonia G. (2002). Limitations on quantum control. International Journal of Modern Physics B, 16(14-15) pp. 2107–2112.

Fu, Hongchen; Solomon, Allan I. and Wang, Xiaoguang (2002). Pairwise entanglement in the xx model with a magnetic impurity. Journal of Physics A: Mathematical and General, 35(19) pp. 4293–4300.

Schirmer, S.G; Solomon, A.I. and Leahy, J.V. (2002). Degrees of controllability for quantum systems and application to atomic systems. Journal of Physics A: Mathematical and General, 35(18) pp. 4125–4141.

Schirmer, S. J.; Pullen, I. C. H. and Solomon, A. I. (2002). Identification of dynamical Lie algebras for finite-level quantum control systems. Journal of Physics A: Mathematical and General, 35(9) pp. 2327–2340.

Fu, Hongchen and Solomon, Allan (2002). Kerr cat states from the four-photon Jaynes-Cummings model. Journal of Modern Optics, 49(2) pp. 259–268.

2001

Wang, Xiaoguang; Fu, Hongchen and Solomon, Allan I (2001). Thermal entanglement in three-qubit Heisenberg models. Journal of Physics A: Mathematical and General, 34(50) pp. 11307–11320.

Fu, Hongchen; Wang, Xiaoguang and Solomon, Allan I. (2001). Maximal entanglement of nonorthogonal states: classification. Physics Letters A, 291(2-3) pp. 73–76.

Sixdeniers, J. -M.; Penson, K. A. and Solomon, A. I. (2001). Extended Bell and Stirling numbers from hypergeometric exponentiation. Journal of Integer Sequences, 4(1) file

Schirmer, S. G.; Fu, H. and Solomon, A. I. (2001). Complete controllability of quantum systems. Physical Review A, 63(6) 063410 -063417.

Fu, H.; Schirmer, S. G. and Solomon, A. I. (2001). Complete controllability of finite-level quantum systems. Journal of Physics A: Mathematical and General, 34(8) pp. 1679–1690.

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