Relevant bibliographies by topics / Symmetry (Physics) Group theory

Contents

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

Academic literature on the topic 'Symmetry (Physics) Group theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Symmetry (Physics) Group theory"

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Villain, J. "Symmetry and group theory throughout physics." EPJ Web of Conferences 22 (2012): 00002. http://dx.doi.org/10.1051/epjconf/20122200002.

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Antoine, 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.

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The present article reviews the multiple applications of group theory to the symmetry problems in physics. In classical physics, this concerns primarily relativity: Euclidean, Galilean, and Einsteinian (special). Going over to quantum mechanics, we first note that the basic principles imply that the state space of a quantum system has an intrinsic structure of pre-Hilbert space that one completes into a genuine Hilbert space. In this framework, the description of the invariance under a group G is based on a unitary representation of G. Next, we survey the various domains of application: atomic and molecular physics, quantum optics, signal and image processing, wavelets, internal symmetries, and approximate symmetries. Next, we discuss the extension to gauge theories, in particular, to the Standard Model of fundamental interactions. We conclude with some remarks about recent developments, including the application to braid groups.
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Ghaboussi, F. "Group theory of spontaneous symmetry breaking." International Journal of Theoretical Physics 26, no. 10 (October 1987): 957–66. http://dx.doi.org/10.1007/bf00670820.

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Green, HS. "A Cyclic Symmetry Principle in Physics." Australian Journal of Physics 47, no. 1 (1994): 25. http://dx.doi.org/10.1071/ph940025.

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Many areas of modern physics are illuminated by the application of a symmetry principle, requiring the invariance of the relevant laws of physics under a group of transformations. This paper examines the implications and some of the applications of the principle of cyclic symmetry, especially in the areas of statistical mechanics and quantum mechanics, including quantized field theory. This principle requires invariance under the transformations of a finite group, which may be a Sylow 7r-group, a group of Lie type, or a symmetric group. The utility of the principle of cyclic invariance is demonstrated in finding solutions of the Yang-Baxter equation that include and generalize known solutions. It is shown that the Sylow 7r-groups have other uses, in providing a basis for a type of generalized quantum statistics, and in parametrising a new generalization of Lie groups, with associated algebras that include quantized algebras.
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Guo, Xiao Qiang, and Zheng Jun He. "The Applications of Group Theory." Advanced Materials Research 430-432 (January 2012): 1265–68. http://dx.doi.org/10.4028/www.scientific.net/amr.430-432.1265.

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Since the classification of finite simple groups completed last century, the applications of group theory are more and more widely. We first introduce the connection of groups and symmetry. And then we respectively introduce the applications of group theory in polynomial equation, algebraic topology, algebraic geometry , cryptography, algebraic number theory, physics and chemistry.
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Gu, Xiao-Yan, Fabien Gatti, Shi-Hai Dong, and Jian-Qiang Sun. "Symmetry and Group Theory and Its Application to Few-Body Physics." Advances in Mathematical Physics 2014 (2014): 1. http://dx.doi.org/10.1155/2014/486420.

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Lahoche, Vincent, and Dine Ousmane Samary. "Unitary symmetry constraints on tensorial group field theory renormalization group flow." Classical and Quantum Gravity 35, no. 19 (September 7, 2018): 195006. http://dx.doi.org/10.1088/1361-6382/aad83f.

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Kovalev, V. F., S. V. Krivenko, and V. V. Pustovalov. "Symmetry Group of Vlasov-Maxwell Equations in Plasma Theory." Journal of Nonlinear Mathematical Physics 3, no. 1-2 (January 1996): 175–80. http://dx.doi.org/10.2991/jnmp.1996.3.1-2.20.

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SHIRKOV, DMITRIJ V. "RENORMALIZATION GROUP SYMMETRY AND SOPHUS LIE GROUP ANALYSIS." International Journal of Modern Physics C 06, no. 04 (August 1995): 503–12. http://dx.doi.org/10.1142/s0129183195000356.

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We start with a short discussion of the content of a term Renormalisation Group in modern use. By treating the underlying solution property as a reparametrisation symmetry, we relate it with the self-similarity symmetry well-known in mathematical physics and explain the notion of Functional Self-similarity. Then we formulate a program of constructing a regular approach for discovering RG-type symmetries in different problems of mathematical physics. This approach based upon S. Lie group analysis allows one to analyse a wide class of boundary problems for different type of equations. Several examples are mentioned.
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Boyle, L. L. "The influence of abstract group theory on molecular symmetry." Journal of Physics: Conference Series 512 (May 12, 2014): 012019. http://dx.doi.org/10.1088/1742-6596/512/1/012019.

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Dissertations / Theses on the topic "Symmetry (Physics) Group theory"

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Huyal, Ulas. "Conformal Symmetry In Field Theory." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613136/index.pdf.

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In this thesis, conformal transformations in d and two dimensions and the results of conformal symmetry in classical and quantum field theories are reviewed. After investigating the conformal group and its algebra, various aspects of conformal invariance in field theories, like conserved charges, correlation functions and the Ward identities are discussed. The central charge and the Virasoro algebra are briefly touched upon.
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Sonnenschein, Jonas [Verfasser]. "Mean-field theory and projective symmetry group classifications of quantum spin liquids / Jonas Sonnenschein." Berlin : Freie Universität Berlin, 2020. http://d-nb.info/1220288179/34.

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Juršėnas, Rytis. "Algebraic development of many-body perturbation theory in theoretical atomic spectroscopy." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20101223_153004-84982.

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The principal goals of the thesis are subjected to general methods and forms of effective operators by the nowadays demands of theoretical application of many-body perturbation theory to atomic physics. The present theoretical research follows up step by step by systematic observation of various possibilities to restrict the Fock space operators to their irreducible subspaces and the classification of irreducible tensor operators which represent the physical as well as the effective interactions. To ground the results of the thesis, the symbolic preparation of obtained expressions is strictly proved mathematically. Most of the main results are listed in theorems. The doctoral dissertation contains 101 pages, 5 sections, 4 appendices, 40 tables and 9 figures. The main results described in the present dissertation have been published in journals of physical and mathematical sciences.
Šis darbas yra skirtas šiuolaikinės atomo trikdžių teorijos matematinio aparato, paremto efektinių operatorių formalizmu, plėtojimui. Darbe nuosekliai ir sistemingai, pradedant nuo pačių bendriausių principų, nagrinėjami Foko erdvės apribojimo į redukavimo grupių neredukuotinus poerdvius metodai bei pateikiama neredukuotinų tenzorinių operatorių, charakterizuojančių fizikines ir efektines sąveikas, klasifikacija bendrais ir tam tikrais atskirais atvejais. Gautos išraiškos ir iš jų išplaukiančios išvados yra grindžiamos matematine kalba. Dauguma esminių rezultatų yra suformuluoti teoremų pavidalu. Disertaciją sudaro 101 puslapis, 5 skyriai, 4 priedai, 40 lentelių ir 9 paveikslėliai. Pagrindiniai rezultatai, pateikti disertacijoje, yra publikuoti fizikos ir matematikos mokslų žurnaluose.
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Germano, Guilherme Rocha. "Representações irredutíveis unitárias do grupo de Poincaré." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-08122016-160042/.

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A teoria de representações de grupos topológicos Hausdorff, localmente compactos e separáveis em espaços de Hilbert separáveis é introduzida, especificada para grupos compactos e comutativos e são obtidas realizações explicitas das representações finitas irredutíveis de $SU(2)$, $SO(3)$, SL(2,C) e $SO(1,3)^{\\uparrow}$. A teoria das representações induzidas é então apresentada e, depois de feita a conexão entre teorias quântico relativísticas livres no espaço plano de Minkowski e representações unitárias irredutíveis de $R^4 times$ SL(2,C), aplicada para obter tais representações e realizar explicitamente os casos correspondentes a partículas elementares com spin definido em espaços que não admitem a definição de operadores de reflexão espacial. A inclusão da operação de reflexão espacial é feita através de uma variação do método das representações induzidas que conduz a representações unitárias {\\bf redutíveis} de $R^4 times$ SL(2,C) para as quais são obtidas equações de onda selecionando espaços irredutíveis, os quais definem partículas elementares admitindo paridade no contexto das teorias quânticas de campos livres.
The theory of locally compact, second countable and Hausdorff topological group representations in separable Hilbert spaces is introduced, and specified to compact and commutative groups. Explicit realizations of the finite irreducible representations of $SU(2)$, $SO(3)$, SL(2,C) and $SO(1,3)^{\\uparrow}$ are obtained. The theory of induced representations is then presented and, after the connection between quantum relativistic free theories in flat Minkowski space and unitary irreducible representations of $R^4 times$ SL(2,C) is made, it is applied and used to classify these representations. Explicit realizations of the cases corresponding to elementary particles with definite spin in spaces which do not allow spacial reflection operators are presented. Spacial reflections are carried with a variation of the induced representation method that leads to unitary {\\bf reducible} representations of $R^4 times$ SL(2,C). Wave equations selecting irreducible spaces that define elementary particles admitting parity in quantum free field theories are derived.
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Bone, Richard George Andrew. "New applications of the molecular symmetry group." Thesis, University of Cambridge, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239761.

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Johnson, Samuel Buck. "Enhanced gauge symmetry in 6D F-theory." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104507.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 142-153).
This thesis reports on progress in understanding the set of 6D F-theory vacua. F-theory provides a strikingly clean correspondence between physics and physical quantities and mathematics and geometrical quantities, which allows us to make precise mathematical statements using well defined and understood methods. We present two related results that both serve the following principal goal: to understand the set of 6D F-theory vacua using geometrical methods, and then to compare these to low-energy supergravities. In doing so, we find a near-perfect correspondence between low-energy supergravities that can be obtained from F-theory and field theories that satisfy known low-energy consistency conditions, e.g. anomaly cancellation. However, we will also isolate several cases that we prove can never arise in F-theory yet have no visible lowenergy inconsistencies. The results are presented in two chapters. First, we describe a complete, systematic enumeration of all elliptically fibered Calabi-Yau threefolds (EF CY3s) with Hodge number h²,¹ >/= 350; physically, this classifies all F-theory models that lead to low-energy supergravities with >/= 351 neutral hypermultiplets. This result is obtained using global geometric calculations in finitely many, specific geometries. Second, we classify which local geometrical structures, corresponding to combinations of gauge algebras and (potentially shared) matter, can arise in F-theory. This classification is performed using local geometric calculations. This investigation reveals an exceedingly tight correspondence between F-theory models and consistent low-energy supergravities. Indeed, this near-perfect agreement provides a backdrop against which discrepancies between F-theory and low-energy supergravities stand out in sharp contrast. We describe in detail these discrepancies, in which seemingly consistent field theories cannot be described in F-theory. This work has several implications. First, it further refines the understanding of 6D supergravity models in F-theory, which has implications for string universality in 6D. It adds a level of mathematical precision to the study of 6D superconformal field theories (SCFTs) begun in [4, 3], which is a conjecturally complete classification of all 6D SCFTs. Our analysis confirms many of their results, but also explicitly shows that some of their proposed models cannot in fact be realized through their construction. Since our results can be phrased in terms of geometry, they also have implications for the study of EF CY3s. Finally, we discuss the subset of our results that hold in 4D F-theory as well, where they provide additional structure in a still difficult-to-constrain landscape.
by Samuel Buck Johnson.
Ph. D.
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Carteret, Hilary Ann. "Symmetry and multiparticle entanglement." Thesis, University of York, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341118.

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Bergman, Oren. "Nonrelativistic conformal symmetry in 2+1 dimesional field theory." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/32619.

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Mantry, Gautam. "Heavy quark symmetry in the soft collinear effective theory." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/32309.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2005.
Includes bibliographical references (leaves 189-198).
We study strong interaction effects in nonleptonic decays of ... mesons with energetic particles in the final state. An introduction to Soft Collinear Effective Theory (SCET), the appropriate effective field theory of QCD for such decays, is given. We focus on decays of the type ... where M is a light energetic meson of energy E. The SCET formulates the problem as an expansion in powers of where Q [approx.] ... . A factorization theorem is proven at leading order that separates the physics of the scales ... . In addition, the factorization theorem decouples energetic degrees of freedom associated with the light meson allowing us to derive heavy quark symmetry relations between the ... type amplitudes. A new mechanism for the generation of non-perturbative strong phases is shown within the framework of factorization. Heavy quark symmetry relations are shown to apply for these strong phases as well. Furthermore, the strong phases for certain light mesons in the final state are shown to be universal. The analysis is extended to ... type decays with isosinglet light mesons and excited charmed mesons in the final state respectively. A host of other phenomenological relations are derived and found to be in good agreement with available data.
by Gautam Mantry.
Ph.D.
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Lin, Zhou. "Theoretical Studies on the Spectroscopy and Dynamics of Astrochemically Significant Species." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1429633299.

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Books on the topic "Symmetry (Physics) Group theory"

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Group theory in physics. Philadelphia: World Scientific, 1985.

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Rowe, David John. Practical group theory. 2nd ed. [Toronto, Ont.]: Custom Pub. Service, University of Toronto Bookstores, 1995.

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Carter, Robert L. Molecular symmetry and group theory. New York: J. Wiley, 1998.

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Stancu, Fl. Group theory in subnuclear physics. Oxford: Clarendon Press, 1996.

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Ladd, Mark. Symmetry and group theory in chemistry. Chichester: Horwood, 1998.

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Bunker, Philip R. Fundamentals of molecular symmetry. Bristol: Institute of Physics, 2005.

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Elements of molecular symmetry. New York: John Wiley, 2000.

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W, Ludwig. Symmetries in physics: Group theory applied to physical problems. 2nd ed. Berlin: Springer, 1996.

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W, Ludwig. Symmetries in physics: Group theory applied to physical problems. Berlin: Springer-Verlag, 1988.

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Molecular symmetry. Chichester, U. K: Wiley, 2009.

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Book chapters on the topic "Symmetry (Physics) Group theory"

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McClain, William Martin. "Axioms of group theory." In Symmetry Theory in Molecular Physics with Mathematica, 55–58. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/b13137_5.

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Abbas, Syed Afsar. "Unitary Symmetry." In Group Theory in Particle, Nuclear, and Hadron Physics, 67–116. Boca Raton, FL : CRC Press, Taylor & Francis Group, [2016] | ©2016: CRC Press, 2016. http://dx.doi.org/10.1201/9781315371702-3.

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Abbas, Syed Afsar. "Permutation Symmetry." In Group Theory in Particle, Nuclear, and Hadron Physics, 117–38. Boca Raton, FL : CRC Press, Taylor & Francis Group, [2016] | ©2016: CRC Press, 2016. http://dx.doi.org/10.1201/9781315371702-4.

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Abbas, Syed Afsar. "Basic Symmetry Concepts." In Group Theory in Particle, Nuclear, and Hadron Physics, 1–18. Boca Raton, FL : CRC Press, Taylor & Francis Group, [2016] | ©2016: CRC Press, 2016. http://dx.doi.org/10.1201/9781315371702-1.

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Abbas, Syed Afsar. "Symmetry in Nuclei." In Group Theory in Particle, Nuclear, and Hadron Physics, 411–36. Boca Raton, FL : CRC Press, Taylor & Francis Group, [2016] | ©2016: CRC Press, 2016. http://dx.doi.org/10.1201/9781315371702-11.

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Powell, Richard C. "Group Theory." In Symmetry, Group Theory, and the Physical Properties of Crystals, 25–53. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7598-0_2.

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Inui, Teturo, Yukito Tanabe, and Yositaka Onodera. "Symmetry and the Role of Group Theory." In Group Theory and Its Applications in Physics, 1–6. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-80021-4_1.

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Yahalom, Asher. "A New Diffeomorphism Symmetry Group of Magnetohydrodynamics." In Lie Theory and Its Applications in Physics, 461–68. Tokyo: Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54270-4_33.

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Inui, Teturo, Yukito Tanabe, and Yositaka Onodera. "The Symmetric Group." In Group Theory and Its Applications in Physics, 333–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-80021-4_15.

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Powell, Richard C. "Symmetry in Solids." In Symmetry, Group Theory, and the Physical Properties of Crystals, 1–24. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7598-0_1.

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Conference papers on the topic "Symmetry (Physics) Group theory"

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Rosensteel, G. "Dynamical symmetry of rotating systems." In Group Theory in Physics: Proceedings of the international symposium held in honor of Professor Marcos Moshinsky. AIP, 1992. http://dx.doi.org/10.1063/1.42855.

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Kramer, P., Z. Papadopolos, and D. Zeidler. "Concepts of symmetry in quasicrystals: root lattice D6, icosahedral group, etc." In Group Theory in Physics: Proceedings of the international symposium held in honor of Professor Marcos Moshinsky. AIP, 1992. http://dx.doi.org/10.1063/1.42852.

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Liu, Ying-Hong, Chien C. Chang, Ruey-Lin Chern, and C. Chung Chang. "Phononic Band Gaps of Elastic Periodic Structures: A Homogenization Theory Study." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43969.

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In this study, we investigate band structures of phononic crystals with particular emphasis on the effects of the mass density ratio and of the contrast of elastic constants. The phononic crystals consist of arrays of different media embedded in a rubber or epoxy. It is shown that the density ratio rather than the contrast of elastic constants is the dominant factor that opens up phononic band gaps. The physical background of this observation is explained by applying the theory of homogenization to investigate the group velocities of the low-frequency bands at the center of symmetry Γ.
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Wybourne, B. G., and M. Yang. "q—Deformation of symmetric functions and Hecke algebras Hn(q) of type An−1." In Group Theory in Physics: Proceedings of the international symposium held in honor of Professor Marcos Moshinsky. AIP, 1992. http://dx.doi.org/10.1063/1.42845.

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Helland, Inge S. "Quantum theory as a statistical theory under symmetry." In FOUNDATIONS OF PROBABILITY AND PHYSICS - 3. AIP, 2005. http://dx.doi.org/10.1063/1.1874567.

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de Queiroz, Amilcar, Marc Lachieze-Rey, and Samuel Simon. "Symmetry, Physical Theories and Theory Change." In Frontiers of Fundamental Physics 14. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.224.0210.

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KIM, J. S., L. MICHEL, and B. I. ZHILINSKII. "INVARIANT THEORY IN CRYSTAL SYMMETRY." In Proceedings of the Sixth's International School of Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811479_0040.

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IWAI, TOSHIHIRO, and YOSHIO UWANO. "SYMMETRY GROUPS OF THE MIC-KEPLER PROBLEM AND THEIR UNITARY REPRESENTATIONS." In Proceedings of XI Workshop on Geometric Methods in Physics. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814440844_0010.

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WU, TAI TSUN. "REMARKS ON YANG–MILLS THEORY." In Symmetry and Modern Physics - Yang Retirement Symposium. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795083_0013.

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Cundy, Nigel D. "A Ginsparg Wilson renormalisation group approach to lattice CP symmetry." In The XXVIII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0249.

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Reports on the topic "Symmetry (Physics) Group theory"

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Dr. Ryszard Stroynowski. REPORT OF RESEARCH ACTIVITIES FOR THE YEARS 2000 - 2003; HIGH ENERGY PHYSICS GROUP; SOUTHERN METHODIST UNIVERSITY; EXPERIMENTAL TASK A AND THEORY TASK B. Office of Scientific and Technical Information (OSTI), July 2003. http://dx.doi.org/10.2172/837652.

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Research in theoretical nuclear physics. [Nuclear Theory Group, Dept. of Physics, State Univ. of New York at Stony Brook]. Office of Scientific and Technical Information (OSTI), June 1993. http://dx.doi.org/10.2172/6370467.

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Task 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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