Academic literature on the topic 'Quantum theory – Mathematics; Group theory'
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Journal articles on the topic "Quantum theory – Mathematics; Group theory"
Murphy, G. J., and L. Tuset. "Aspects of compact quantum group theory." Proceedings of the American Mathematical Society 132, no. 10 (June 2, 2004): 3055–67. http://dx.doi.org/10.1090/s0002-9939-04-07400-3.
Full textVitiello, Giuseppe. "Group Contraction in Quantum Field Theory." International Journal of Theoretical Physics 47, no. 2 (July 25, 2007): 393–414. http://dx.doi.org/10.1007/s10773-007-9461-8.
Full textAntoine, Jean-Pierre. "Group Theory: Mathematical Expression of Symmetry in Physics." Symmetry 13, no. 8 (July 26, 2021): 1354. http://dx.doi.org/10.3390/sym13081354.
Full textLev, Felix M. "Symmetries in Foundation of Quantum Theory and Mathematics." Symmetry 12, no. 3 (March 4, 2020): 409. http://dx.doi.org/10.3390/sym12030409.
Full textPollatsek, Harriet. "Quantum Error Correction: Classic Group Theory Meets a Quantum Challenge." American Mathematical Monthly 108, no. 10 (December 2001): 932. http://dx.doi.org/10.2307/2695416.
Full textBrzeziński, Thomasz, and Shahn Majid. "Quantum group gauge theory on quantum spaces." Communications in Mathematical Physics 157, no. 3 (November 1993): 591–638. http://dx.doi.org/10.1007/bf02096884.
Full textBrzeziński, T., and Shahn Majid. "Quantum group Gauge theory on quantum spaces." Communications in Mathematical Physics 167, no. 1 (January 1995): 235. http://dx.doi.org/10.1007/bf02099359.
Full textStrickland, Elisabetta. "Classical Invariant Theory for the Quantum Symplectic Group." Advances in Mathematics 123, no. 1 (October 1996): 78–90. http://dx.doi.org/10.1006/aima.1996.0067.
Full textRobinson, Derek W. "Commutator Theory on Hilbert Space." Canadian Journal of Mathematics 39, no. 5 (October 1, 1987): 1235–80. http://dx.doi.org/10.4153/cjm-1987-063-2.
Full textBONAHON, FRANCIS. "QUANTUM TEICHMÜLLER THEORY AND REPRESENTATIONS OF THE PURE BRAID GROUP." Communications in Contemporary Mathematics 10, supp01 (November 2008): 913–25. http://dx.doi.org/10.1142/s0219199708003095.
Full textDissertations / Theses on the topic "Quantum theory – Mathematics; Group theory"
Gupta, Neha. "Homotopy quantum field theory and quantum groups." Thesis, University of Warwick, 2011. http://wrap.warwick.ac.uk/38110/.
Full textMantke, Wolfgang Johann. "Picture independent quantum action principle." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/29850.
Full textCarruth, Nathan Thomas. "Classical Foundations for a Quantum Theory of Time in a Two-Dimensional Spacetime." DigitalCommons@USU, 2010. https://digitalcommons.usu.edu/etd/708.
Full textGajewski, David C. "Analysis of Groups Generated by Quantum Gates." Connect to full text in OhioLINK ETD Center, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1250224470.
Full textCooney, Nicholas. "Quantum multiplicative hypertoric varieties and localization." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:17d0824f-e8f2-4cb7-9e84-dd3850a9e2a2.
Full textLaugwitz, Robert. "Braided Hopf algebras, double constructions, and applications." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:ddcb459f-c3b4-40dd-9936-6bad6993ce8c.
Full textMajard, Dany. "Cubical categories, TQFTs and possible new representations for the Poincare group." Diss., Kansas State University, 2012. http://hdl.handle.net/2097/14139.
Full textDepartment of Mathematics
Louis Crane
In this thesis we explore the possibilities of obtaining Topological Quantum Field Theories using cobordisms with corners to break further down in the structure of manifolds of a given dimension. The algebraic data obtained is described in the language of higher category theory, more precisely in its cubical approach which we explore here as well. Interesting connections are proposed to some important objects in Physics: the representations of the Poincaré group. Finally we will describe in great details the topological tools needed to describe the categories of cobordisms with corners and give some conjectures on their nature.
Boixeda, Alvarez Pablo. "Affine Springer fibers and the representation theory of small quantum groups and related algebras." Thesis, Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/126920.
Full textCataloged from the official PDF of thesis.
Includes bibliographical references (pages 125-128).
This thesis deals with the connections of Geometry and Representation Theory. In particular we study the representation theory of small quantum groups and Frobenius kernels and the geometry of an equivalued affine Springer fiber Fl[subscript ts] for s a regular semisimple element. In Chapter 2 we relate the center of the small quantum group with the cohomology of the above affine Springer fiber. This includes joint work with Bezrukavnikov, Shan and Vaserot. In Chapter 3 we study the geometry of the affine Springer fiber and in particular understand the fixed points of a torus action contained in each component. In Chapter 4 we further have a collection of algebraic results on the representation theory of Frobenius kernels. In particular we state some results pointing towards some construction of certain partial Verma functors and we compute this in the case of SL₂. We also compute the center of Frobenius kernels in the case of SL₂ and state a conjecture on a possible inductive construction of the general center.
by Pablo Boixeda Alvarez.
Ph. D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
Ho, Yanfang. "Group theoretical analysis of in-shell interaction in atoms." Scholarly Commons, 1985. https://scholarlycommons.pacific.edu/uop_etds/487.
Full textXu, Guang-Hui. "Exploratory studies of group theoretic methods in atomic physics." Scholarly Commons, 1989. https://scholarlycommons.pacific.edu/uop_etds/2189.
Full textBooks on the topic "Quantum theory – Mathematics; Group theory"
Fröhlich, Jürg. Quantum groups, quantum categories, and quantum field theory. Berlin: Springer-Verlag, 1993.
Find full textNoz, M. E. Special Relativity and Quantum Theory: A Collection of Papers on the Poincaré Group. Dordrecht: Springer Netherlands, 1988.
Find full textauthor, Mertens Tom, and Veken, Frederik F. Van der, author, eds. Wilson lines in quantum field theory. Berlin: De Gruyter, 2014.
Find full textRyōshi jōhō e no hyōgenronteki apurōchi: Group representation approach to quantum information. Tōkyō-to Bunkyō-ku: Kyōritsu Shuppan, 2014.
Find full textKassel, Christian. Quantum Groups. New York, NY: Springer New York, 1995.
Find full textChari, Vyjayanthi. Guide to quantum groups. Cambridge: Cambridge University Press, 1995.
Find full textQuantum field theory, conformal group theory, conformal field theory: Mathematical and conceptual foundations, physical and geometrical applications. Huntington, NY: Nova Science Publishers, 2001.
Find full textAndrew, Pressley, ed. A guide to quantum groups. Cambridge: Cambridge University Press, 1994.
Find full textBrundan, Jonathan. Quantum linear groups and representations of GLn(Fq). Providence, RI: American Mathematical Society, 2001.
Find full textFranz, Uwe. Stochastic Processes and Operator Calculus on Quantum Groups. Dordrecht: Springer Netherlands, 1999.
Find full textBook chapters on the topic "Quantum theory – Mathematics; Group theory"
Fröhlich, Jürg, and Thomas Kerler. "Local quantum theory with braid group statistics." In Lecture Notes in Mathematics, 17–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0084246.
Full textShirkov, Dmitrij V. "The Bogoliubov Renormalization Group in Theoretical and Mathematical Physics." In Quantum Field Theory, 157–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-44482-3_10.
Full textGoldin, Gerald A., and David H. Sharp. "Diffeomorphism Group Representations in Relativistic Quantum Field Theory." In Trends in Mathematics, 47–56. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-01156-7_6.
Full textHayashi, Masahito. "Mathematical Foundation for Quantum System." In Group Representation for Quantum Theory, 1–20. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44906-7_1.
Full textDrinfeld, V. G. "On some unsolved problems in quantum group theory." In Lecture Notes in Mathematics, 1–8. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0101175.
Full textHook, Julian. "Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music." In Diffusion, Quantum Theory, and Radically Elementary Mathematics, edited by William G. Faris, 209–28. Princeton: Princeton University Press, 2006. http://dx.doi.org/10.1515/9781400865253.209.
Full textKimoto, Kazufumi. "Generalized Group–Subgroup Pair Graphs." In International Symposium on Mathematics, Quantum Theory, and Cryptography, 169–85. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5191-8_14.
Full textVoigt, Christian, and Robert Yuncken. "Representation Theory of Complex Semisimple Quantum Groups." In Lecture Notes in Mathematics, 287–356. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52463-0_6.
Full textNuida, Koji. "Towards Constructing Fully Homomorphic Encryption without Ciphertext Noise from Group Theory." In International Symposium on Mathematics, Quantum Theory, and Cryptography, 57–78. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5191-8_8.
Full textGoldin, Gerald A. "Diffeomorphism Groups in Quantum Theory and Statistical Physics." In Trends in Mathematics, 345–50. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53305-2_23.
Full textConference papers on the topic "Quantum theory – Mathematics; Group theory"
Khots, Dmitriy, Boris Khots, Guillaume Adenier, Andrei Yu Khrennikov, Pekka Lahti, Vladimir I. Man'ko, and Theo M. Nieuwenhuizen. "Quantum Theory and Observer's Mathematics." In Quantum Theory. AIP, 2007. http://dx.doi.org/10.1063/1.2827314.
Full textSUDARSHAN, E. C. G. "GROUP THEORY OF DYNAMICAL MAPS." In Quantum Information and Computing. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774491_0026.
Full textBender, Carl M., Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "PT-Symmetric Quantum Field Theory." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636813.
Full textLéandre, Rémi. "Large Deviations Estimates in Semi‐Group Theory." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2990931.
Full textchen, jianhong. "Fundamental theorems from group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2641075.
Full textWu, Fengbo, Zijia Ye, Chengling Zhuge, and Jingyi Zou. "Classical results in group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2639427.
Full textWang, Yuancankun. "Fundamental results in group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2639469.
Full textBao, Zihui, Shiyang Hu, and Kecen Zhou. "Established results in group theory." In 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), edited by Chi-Hua Chen, Xuexia Ye, and Hari Mohan Srivastava. SPIE, 2022. http://dx.doi.org/10.1117/12.2639420.
Full textSTERMAN, GEORGE. "PERTURBATIVE QUANTUM FIELD THEORY." In Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811264_0022.
Full textBraaten, Eric. "Renormalization group approach to thermal quantum field theory." In Computational quantum physics. AIP, 1992. http://dx.doi.org/10.1063/1.42603.
Full textReports on the topic "Quantum theory – Mathematics; Group theory"
Goldin, Gerald A., and David H. Sharp. Diffeomorphism Group Representations in Relativistic Quantum Field Theory. Office of Scientific and Technical Information (OSTI), December 2017. http://dx.doi.org/10.2172/1415360.
Full textCatterall, Simon, Roni Harnik, Veronika Hubeny, Christian Bauer, Asher Berlin, Zohreh Davoudi, Thomas Faulkner, et al. Report of the Snowmass 2021 Theory Frontier Topical Group on Quantum Information Science. Office of Scientific and Technical Information (OSTI), September 2022. http://dx.doi.org/10.2172/1892238.
Full textHyman, J., W. Beyer, J. Louck, and N. Metropolis. Development of the applied mathematics originating from the group theory of physical and mathematical problems. Office of Scientific and Technical Information (OSTI), July 1996. http://dx.doi.org/10.2172/257450.
Full textTask A, High Energy Physics Program experiment and theory: Task B, High Energy Physics Program numerical simulation of quantum field theories. [Particle Physics Group, Physics Dept. , The Florida State Univ. , Tallahassee]. Office of Scientific and Technical Information (OSTI), January 1992. http://dx.doi.org/10.2172/6851536.
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