Currently browsing: Items authored or edited by Allan Solomon

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.

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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.

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.

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.

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.

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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, Dobiński Relations and Summability. Journal of Physics: Conference Series, 36 pp. 22–27.

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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.

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)

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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.

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.

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.

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.

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.

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.

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.

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.

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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.

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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.

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.

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.

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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.

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.

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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.

Fu, Hongchen and Solomon, Allan (2002). Kerr cat states from the four-photon Jaynes-Cummings model. Journal of Modern Optics, 49(1-2) pp. 259–268.

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

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.

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.

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).

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.

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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.

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.

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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.

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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.

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.

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

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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.

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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.

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.

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

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

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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.

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.

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

Solomon, Allan I. and Schirmer, Sonia G. (2007). Dissipative effects in Multilevel Systems. Journal of Physics: Conference Series, 87, article no. 012015.

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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.

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

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.

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

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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.

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.

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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.

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.

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.

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.

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.

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)

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

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.

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.