Relevant bibliographies by topics / Bose algebras

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Bose algebras'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 January 2023

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Journal articles on the topic "Bose algebras"

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Słowikowski, W. "Ultracoherence in Bose algebras." Advances in Applied Mathematics 9, no. 4 (December 1988): 377–427. http://dx.doi.org/10.1016/0196-8858(88)90020-6.

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BANG, HA HUY. "GENERALIZED DEFORMED PARA-BOSE OSCILLATOR AND NONLINEAR ALGEBRAS." Modern Physics Letters A 10, no. 36 (November 30, 1995): 2739–48. http://dx.doi.org/10.1142/s0217732395002878.

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Generalized deformed commutation relations for a single mode para-Bose oscillator and for a system of two para-Bose oscillators are constructed. It turns out that generalized deformed para-Bose oscillators are not, in general, exactly independent. Furthermore, we also discuss about the Fock space corresponding to generalized deformed para-Bose oscillators. Finally, we show how SU(2) and SU(1, 1) generators can be constructed in terms of generalized deformed para-Bose creation and annihilation operators. The algebras SU(2) and SU(1, 1) of generalized deformed oscillators14,18 are the special cases of generalized deformed para-Bose oscillators algebras but, interestingly, they have the same form.
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Koppinen, M. "On Algebras with Two Multiplications, Including Hopf Algebras and Bose–Mesner Algebras." Journal of Algebra 182, no. 1 (May 1996): 256–73. http://dx.doi.org/10.1006/jabr.1996.0170.

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Nomura, Kazumasa. "Spin Models and Bose–Mesner Algebras." European Journal of Combinatorics 20, no. 7 (October 1999): 691–700. http://dx.doi.org/10.1006/eujc.1999.0315.

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MELJANAC, STJEPAN, and MARIJAN MILEKOVIĆ. "A UNIFIED VIEW OF MULTIMODE ALGEBRAS WITH FOCK-LIKE REPRESENTATIONS." International Journal of Modern Physics A 11, no. 08 (March 30, 1996): 1391–412. http://dx.doi.org/10.1142/s0217751x9600064x.

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A unified view of general multimode oscillator algebras with Fock-like representations is presented. It extends a previous analysis of the single-mode oscillator algebras. The expansion of the [Formula: see text] operators is extended to include all normally ordered terms in creation and annihilation operators, and we analyze their action on Fock-like states. We restrict ourselves to the algebras compatible with number operators. The connection between these algebras and generalized statistics is analyzed. We demonstrate our approach by considering the algebras obtainable from the generalized Jordan-Wigner transformation, the para-Bose and para-Fermi algebras, the Govorkov “paraquantization” algebra and generalized quon algebra.
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Chan, Ada, and Chris Godsil. "Bose–Mesner algebras attached to invertible Jones pairs." Journal of Combinatorial Theory, Series A 106, no. 2 (May 2004): 165–91. http://dx.doi.org/10.1016/j.jcta.2004.01.007.

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HALPERN, M. B., and C. SCHWARTZ. "THE ALGEBRAS OF LARGE N MATRIX MECHANICS." International Journal of Modern Physics A 14, no. 19 (July 30, 1999): 3059–119. http://dx.doi.org/10.1142/s0217751x99001482.

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Extending early work, we formulate the large N matrix mechanics of general bosonic, fermionic and supersymmetric matrix models, including Matrix theory: the Hamiltonian framework of large N matrix mechanics provides a natural setting in which to study the algebras of the large N limit, including (reduced) Lie algebras, (reduced) supersymmetry algebras and free algebras. We find in particular a broad array of new free algebras which we call symmetric Cuntz algebras, interacting symmetric Cuntz algebras, symmetric Bose/Fermi/Cuntz algebras and symmetric Cuntz superalgebras, and we discuss the role of these algebras in solving the large N theory. Most important, the interacting Cuntz algebras are associated to a set of new (hidden!) local quantities which are generically conserved only at large N. A number of other new large N phenomena are also observed, including the intrinsic nonlocality of the (reduced) trace class operators of the theory and a closely related large N field identification phenomenon which is associated to another set (this time nonlocal) of new conserved quantities at large N.
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MELJANAC, STJEPAN, and ANTE PERICA. "GENERALIZED QUON STATISTICS." Modern Physics Letters A 09, no. 35 (November 20, 1994): 3293–99. http://dx.doi.org/10.1142/s0217732394003117.

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Generalized quons interpolating between Bose, Fermi, para-Bose, para-Fermi and anyonic statistics are proposed. They follow from the R-matrix approach to deformed associative algebras. It is proved that generalized quons have the same main properties as quons. A new result for the number operator is presented and some physical features of generalized quons are discussed in the limit [Formula: see text].
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Bannai, Etsuko. "Bose-Mesner Algebras Associated with Four-Weight Spin Models." Graphs and Combinatorics 17, no. 4 (December 2001): 589–98. http://dx.doi.org/10.1007/pl00007251.

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Curtin, Brian. "Inheritance of hyper-duality in imprimitive Bose–Mesner algebras." Discrete Mathematics 308, no. 14 (July 2008): 3003–17. http://dx.doi.org/10.1016/j.disc.2007.08.025.

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Dissertations / Theses on the topic "Bose algebras"

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Daqqa, Ibtisam. "Subconstituent Algebras of Latin Squares." Scholar Commons, 2007. https://scholarcommons.usf.edu/etd/199.

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Let n be a positive integer. A Latin square of order n is an n×n array L such that each element of some n-set occurs in each row and in each column of L exactly once. It is well-known that one may construct a 4-class association scheme on the positions of a Latin square, where the relations are the identity, being in the same row, being in the same column, having the same entry, and everything else. We describe the subconstituent (Terwilliger) algebras of such an association scheme. One also may construct several strongly regular graphs on the positions of a Latin square, where adjacency corresponds to any subset of the nonidentity relations described above. We describe the local spectrum and subconstituent algebras of such strongly regular graphs. Finally, we study various notions of isomorphism for subconstituent algebras using Latin squares as examples.
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Bastian, Nicholas Lee. "Terwilliger Algebras for Several Finite Groups." BYU ScholarsArchive, 2021. https://scholarsarchive.byu.edu/etd/8897.

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In this thesis, we will explore the structure of Terwilliger algebras over several different types of finite groups. We will begin by discussing what a Schur ring is, as well as providing many different results and examples of them. Following our discussion on Schur rings, we will move onto discussing association schemes as well as their properties. In particular, we will show every Schur ring gives rise to an association scheme. We will then define a Terwilliger algebra for any finite set, as well as discuss basic properties that hold for all Terwilliger algebras. After specializing to the case of Terwilliger algebras resulting from the orbits of a group, we will explore bounds of the dimension of such a Terwilliger algebra. We will also discuss the Wedderburn decomposition of a Terwilliger algebra resulting from the conjugacy classes of a group for any finite abelian group and any dihedral group.
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Ihl, Matthias 1977. "The Bose/Fermi oscillators in a new supersymmetric representation." 2001. http://hdl.handle.net/2152/13972.

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This work deals with the application of supermathematics to supersymmetrical problems arising in physics. Some recent developments are presented in detail. A reduction scheme for general supermanifolds to vector bundles is presented, which significantly simplifies their mathematical treatment in a physical context. Moreover, some applications of this new approach are worked out, such as the Fermi oscillator.
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Books on the topic "Bose algebras"

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Nielsen, Torben T. Bose algebras: The complex and real wave representations. Berlin: Springer-Verlag, 1991.

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Nielsen, Torben T. Bose Algebras: The Complex and Real Wave Representations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0098303.

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Kiss my math: Showing pre-algebra who's boss. New York, N.Y: Penguin Group, 2008.

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Nielsen, Torben T. Bose Algebras: The Complex and Real Wave Representations. Springer London, Limited, 2006.

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Nielsen, Torben T. Bose Algebras: The Complex and Real Wave Representations. Springer, 2014.

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Nielsen, Torben T. Bose Algebras: The Complex and Real Wave Representations (Lecture Notes in Mathematics). Springer Verlag, 1991.

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Bone-Setters: An Algebraic Odyssey. Troubador Publishing Limited, 2019.

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McKellar, Danica. Kiss My Math: Showing Pre-Algebra Who's Boss. Turtleback, 2009.

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Eckle, Hans-Peter. Models of Quantum Matter. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199678839.001.0001.

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This book focuses on the theory of quantum matter, strongly interacting systems of quantum many–particle physics, particularly on their study using exactly solvable and quantum integrable models with Bethe ansatz methods. Part 1 explores the fundamental methods of statistical physics and quantum many–particle physics required for an understanding of quantum matter. It also presents a selection of the most important model systems to describe quantum matter ranging from the Hubbard model of condensed matter physics to the Rabi model of quantum optics. The remaining five parts of the book examines appropriate special cases of these models with respect to their exact solutions using Bethe ansatz methods for the ground state, finite–size, and finite temperature properties. They also demonstrate the quantum integrability of an exemplary model, the Heisenberg quantum spin chain, within the framework of the quantum inverse scattering method and through the algebraic Bethe ansatz. Further models, whose Bethe ansatz solutions are derived and examined, include the Bose and Fermi gases in one dimension, the one–dimensional Hubbard model, the Kondo model, and the quantum Tavis–Cummings model, the latter a model descendent from the Rabi model.
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Book chapters on the topic "Bose algebras"

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Nielsen, Torben T. "Bose algebras of operators." In Lecture Notes in Mathematics, 79–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0098312.

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Nielsen, Torben T. "The Bose algebra Γ0ℌ,〈,〉." In Lecture Notes in Mathematics, 4–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0098305.

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Filho, Gilberto N. Santos. "Current algebra for a generalized two-sites Bose-Hubbard model." In Physical and Mathematical Aspects of Symmetries, 299–304. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69164-0_44.

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Mujika, Andoni, Nagore Barrena, Sara García, and David Oyarzun. "Elastic Bone Transformation for Realistic Facial Animation in WebGL." In Future Vision and Trends on Shapes, Geometry and Algebra, 107–16. London: Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6461-6_7.

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Cohen, Paula B. "Interactions between number theory and operator algebras in the study of the Riemann zeta function (d’après Bost-Connes and Connes)." In Number Theory, 87–103. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4419-9060-0_5.

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"Lie Algebras." In Bose, Spin and Fermi Systems, 270–317. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814630115_0004.

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"Bose Operators and Lie Algebras." In Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra, 393–406. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770127_0021.

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"Bose Operators and Lie Algebras." In Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra, 321–30. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789812839787_0019.

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"The Bose–Mesner algebra." In Association Schemes, 31–58. Cambridge University Press, 2004. http://dx.doi.org/10.1017/cbo9780511610882.003.

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Hattiangadi, Jagdish. "Algebra As Thought Experiment." In The Paideia Archive: Twentieth World Congress of Philosophy, 106–11. Philosophy Documentation Center, 1998. http://dx.doi.org/10.5840/wcp20-paideia199837659.

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This paper addresses the problem of understanding what mathematics contributes to the exceptional success of modern mathematical physics. I urge that we give up the Kantian construal of the division between mathematics (synthetic a priori) and physics (experimental), and that we ask instead how algebra helps synthetic a posteriori mathematics improve our ability to study the world. The theses suggested are: 1) Mathematical theories are about the empirical world, and are true or false just like other theories of empirical science. 2) The air of artificiality in mathematics lies exclusively in the use of algebraic method. 3) This method is constructive much like all fiction is, but this construction is for the purpose of experimental investigation of the physical world to the extent that anything in the world has objects like those in the fictional world of a particular algebra. 4) This is why algebraic techniques are successful even when the assumptions of the system are false: they may still be applicable to some things considered from some perspective. 5) The success of mathematical physics is also due to Descartes' discovery of a remarkable truth: we live in space and time which can be described as a whole. 6) Therefore, what distinguishes modern science from earlier and later philosophy is not a general method of science, but the fact that it happened to find a truth, and a particular way of studying reality which bore fruit.
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Conference papers on the topic "Bose algebras"

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Simulik, V., I. Krivsky, and I. Lamer. "Generalized clifford - Dirac algebra and Fermi - Bose duality of the dirac equation." In 2012 International Conference on Mathematical Methods in Electromagnetic Theory (MMET). IEEE, 2012. http://dx.doi.org/10.1109/mmet.2012.6331206.

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TASAKI, S., and L. ACCARDI. "NONEQUILIBRIUM STEADY STATES FOR A HARMONIC OSCILLATOR INTERACTING WITH TWO BOSE FIELDS - STOCHASTIC LIMIT APPROACH AND C* ALGEBRAIC APPROACH." In Quantum Information and Computing. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774491_0028.

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Türkay, O. S., H. Küçük, I. Akgün, Ö. Aydingöz, G. Altay Aşkar, and M. C. Dökmeci. "A Two Dimensional Dynamic Model Simulation of Human Knee Joint." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0429.

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Abstract A two dimensional dynamic model of the human knee joint is improved by employing more realistic bone profiles and ligament models. The knee model consists of a fixed rigid femur and a moving rigid tibia connected by the fiber tissues. The two articulating surfaces are represented by polynomial equations. The knee joint ligaments are modeled as nonlinear springs with a linear-parabolic operating region which is considered to be a more representative model. The nonlinear differential equations of motion constrained by geometrical nonlinear algebraic equations are solved numerically to simulate the knee dynamics under external pulse forcing. The flexion and extension motions, and the effects of pulse direction and ligaments insertion coordinates on the ligaments tension and point contact forces are discussed.
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Adams, Mark F., Harun H. Bayraktar, Tony M. Keaveny, and Panayiotis Papdopoulos. "Applications of Algebraic Multigrid to Large-Scale Finite Element Analysis of Whole Bone Micro-Mechanics on the IBM SP." In the 2003 ACM/IEEE conference. New York, New York, USA: ACM Press, 2003. http://dx.doi.org/10.1145/1048935.1050177.

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Weed, David, Luis G. Maqueda, Michael A. Brown, and Ahmed A. Shabana. "A Multibody/Finite Element Non-Linear Formulation of a Two-Ligament Knee Joint." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68444.

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The focus of this investigation is to study the mechanics of the human knee using a new method that integrates multi-body system and large deformation finite element algorithms. The major bones in the knee joint consisting of the femur, tibia, fibula are modeled as rigid bodies. The ligaments structures are modeled using the large deformation finite element Absolute Nodal Coordinate Formulation (ANCF) with an implementation of a Neo-Hookean constitutive model that allows for large deformations as experienced in knee flexation and rotation. The Neo-Hookean strain energy function used in this study takes into consideration the near incompressibility of the ligaments. The ANCF is used in the formulation of the algebraic equations that define the ligament/bone rigid connection. A unique feature of the ANCF is that it allows for the deformation of the ligament cross-section. At the ligament/bone connection, the ANCF is used to define a fully constrained joint. This aspect of the model reflects the actual structural mechanics of the knee. In addition, this model will reflect the fact that the geometry, placement and attachment of the two collateral ligaments (the LCL and MCL), are significantly different from what has been used in most knee models developed in previous investigations. The approach described in this paper will provide a more realistic model of the knee and thus more applicable to future research studies. The obtained preliminary results of other applications show that the ANCF can be an effective tool for modeling very flexible structures like ligaments subjected to large deformations. In the future, the ANCF models could assist in examining the mechanics of the knee to study knee injuries and possible prevention means, as well as an improved understanding of the role of each individual ligament in the diagnosis and assessment of disease states, aging and potential therapies.
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Santillo, Mario, Suzanne Wait, and Julia Buckland. "Adaptation for Air-Intake System Throttle Control in a Gasoline Engine With Low-Pressure Exhaust-Gas Recirculation." In ASME 2015 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/dscc2015-9657.

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We investigate control strategies for traditional throttle-in-bore as well as low-cost cartridge-style throttle bodies for the air-intake system (AIS) throttle used in low-pressure exhaust-gas recirculation (LPEGR) on a turbocharged gasoline engine. Pressure sensors placed upstream and downstream of the AIS throttle are available as signals from the vehicle’s engine control unit, however, we do not use high-bandwidth feedback control of the AIS throttle in order to maintain frequency separation from the higher-rate EGR loop, which uses the downstream pressure sensor for feedback control. A design-of-experiments conducted using a feed-forward lookup table-based AIS throttle control strategy exposes controller sensitivity to part-to-part variations. For accurate tracking in the presence of these variations, we explore the use of adaptive feedback control. In particular, we use an algebraic model representing the throttle plate effective opening area to develop a recursive least-squares (RLS)-based estimation routine. A low-pass filtered version of the estimated model parameters is subsequently used in the forward-path AIS throttle controller. Results are presented comparing the RLS-based feedback algorithm with the feed-forward lookup table-based control strategy. RLS is able to adapt for part-to-part and change-over-time variabilities and exhibits an improved steady-state tracking response compared to the feed-forward control strategy.
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