Relevant bibliographies by topics / Bose-Algebra

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

Academic literature on the topic 'Bose-Algebra'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 January 2023

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Journal articles on the topic "Bose-Algebra"

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Ikuta, Takuya, and Akihiro Munemasa. "Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4." Special Matrices 6, no. 1 (January 1, 2018): 1–10. http://dx.doi.org/10.1515/spma-2018-0001.

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Abstract We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization of the eigenmatrix of a commutative nonsymmetric association scheme of class 3 whose Bose-Mesner algebra contains a nonsymmetric hermitian complex Hadamard matrix, and show that such a complex Hadamard matrix is necessarily a Butson-type complex Hadamard matrix whose entries are 4-th roots of unity.We also give nonsymmetric association schemes X of class 6 on Galois rings of characteristic 4, and classify hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of X. It is shown that such a matrix is again necessarily a Butson-type complex Hadamard matrix whose entries are 4-th roots of unity.
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Steeb, W. H. "Bose-Fermi systems and computer algebra." Foundations of Physics Letters 8, no. 1 (February 1995): 73–81. http://dx.doi.org/10.1007/bf02187533.

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SCIPIONI, R. "G-ALGEBRA AND CURVED SPACETIME." Modern Physics Letters A 10, no. 23 (July 30, 1995): 1705–9. http://dx.doi.org/10.1142/s0217732395001824.

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The recently proved nonexistence of generalized statistics in curved spacetime is reconsidered in the framework of g-algebra; we show in a rigorous way that for asymptotic states, a Fermi or Bose statistics in the “in” region always evolves a Bose or Fermi statistics in the “out” region; the new approach, however, permits one to infer that this fact might not be true when considering intermediate states.
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HOSSEINI, A., and A. RAHNAMAI BARGHI. "TABLE ALGEBRAS OF RANK 3 AND ITS APPLICATIONS TO STRONGLY REGULAR GRAPHS." Journal of Algebra and Its Applications 12, no. 05 (May 7, 2013): 1250216. http://dx.doi.org/10.1142/s0219498812502167.

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A table algebra is called quasi self-dual if there exists a permutation on the set of primitive idempotents under which any Krein parameter is equal to its corresponding structure constants. In this paper we investigate the question of when a table algebra of rank 3 is quasi self-dual. As a direct consequence we find necessary and sufficient conditions for the Bose–Mesner algebra of a given strongly regular graph to be quasi self-dual. In fact, our result generalizes the well-known Delsarte's characterization of a self-duality of the Bose–Mesner algebra of a strongly regular graph given in [P. Delsarte, An algebraic approach to the association schemes of coding theory, Philips Res. Rep. Suppl.10 (1973) 1–97]. Among our results we determine conditions under which the Krein parameters of an integral table algebra of rank 3 are non-negative rational numbers.
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SHANTA, P., S. CHATURVEDI, A. K. KAPOOR, and V. SRINIVASAN. "PARASTATISTICAL SYSTEMS AT FINITE TEMPERATURES IN THERMOFIELD DYNAMICS." International Journal of Modern Physics A 07, no. 16 (June 30, 1992): 3807–16. http://dx.doi.org/10.1142/s0217751x92001691.

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We consider para-Bose and para-Fermi oscillators within the framework of thermofield dynamics. For these systems, we construct the transformation relating the thermal vacuum state to the zero temperature vacuum. This construction makes use of a nonlinear realization of the single mode para-Bose (para-Fermi) algebra in terms of a single boson.
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Hamid, Nur, Cahyu Guswita, Saiful Islam, and M. Faiz Nailun Ni'am. "IDEMPOTEN PRIMITIF SKEMA ASOSIASI GRUP UNTUK MATRIKS GRUP ATAS Z_3." Jurnal Kajian Matematika dan Aplikasinya (JKMA) 2, no. 2 (June 11, 2021): 21. http://dx.doi.org/10.17977/um055v2i22021p21-25.

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Some combinatorial problems in Mathematics can be studied via association scheme. By this scheme, algebra structure called Bose-Mesner algebra can be obtained. In this article, we show the explicit forms of the idempotent primitive of an association scheme for the group of order 48. Keywords: Association scheme, idempotent primitif
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Brodimas, G., A. Jannussis, and R. Mignani. "Bose realization of a non-canonical Heisenberg algebra." Journal of Physics A: Mathematical and General 25, no. 7 (April 7, 1992): L329—L334. http://dx.doi.org/10.1088/0305-4470/25/7/008.

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CELEGHINI, ENRICO. "A NEW DEFINITION OF BOSONS." International Journal of Modern Physics B 13, no. 24n25 (October 10, 1999): 2909–13. http://dx.doi.org/10.1142/s0217979299002733.

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A recipe is given to reproduce algebraically the Bose prescription in Quantum Statistics. Bosons are thus defined as coherent states of the [Formula: see text] representation of the Lie-Hopf algebra su(1, 1), while h(1) is shown to be related to Boltzmann statistics. The technical power of group theory is used to show that black-body radiation formula as well as all other experimental results obtained in continuum limit do not require Bose distribution but are compatible with many other less symmetric ones. This may have dramatical effects on the predictions on Bose condensation.
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AMICO, LUIGI. "ALGEBRAIC EQUIVALENCE BETWEEN CERTAIN MODELS FOR SUPERFLUID–INSULATOR TRANSITION." Modern Physics Letters B 14, no. 21 (September 10, 2000): 759–66. http://dx.doi.org/10.1142/s0217984900000963.

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Algebraic contraction is proposed to realize mappings between Hamiltonian models. This transformation contracts the algebra of the degrees of freedom underlying the Hamiltonian. The rigorous mapping between the anisotropic XXZ Heisenberg model, the quantum phase model and the Bose Hubbard model is established as the contractions of the algebra u(2) underlying the dynamics of the XXZ Heisenberg model.
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Maule, Milena, and Stefano Sciuto. "Extended Conformal Symmetry of the One-Dimensional Bose Gas." Modern Physics Letters A 12, no. 29 (September 21, 1997): 2153–59. http://dx.doi.org/10.1142/s021773239700220x.

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We show that the low-lying excitations of the one-dimensional Bose gas are described, at all orders in a 1/N expansion and at the first order in the inverse of the coupling constant, by an effective Hamiltonian written in terms of an extended conformal algebra, namely the Cartan subalgebra of the [Formula: see text] algebra. This enables us to construct the first interaction term which corrects the Hamiltonian of the free fermions equivalent to a hard-core boson system.
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Dissertations / Theses on the topic "Bose-Algebra"

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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-Algebra"

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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. 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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Book chapters on the topic "Bose-Algebra"

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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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"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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"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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Conference papers on the topic "Bose-Algebra"

1

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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