Log in

Relevant bibliographies by topics / Special Unitary (SU) Group Representations

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Special Unitary (SU) Group Representations'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Special Unitary (SU) Group Representations.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Special Unitary (SU) Group Representations"

1

Owaid, Saad, and Zainab Subhi. "Adjoint representations for SU(2), su(2) and sl(2)." Al-Mustansiriyah Journal of Science 27, no. 5 (2017): 74. http://dx.doi.org/10.23851/mjs.v27i5.171.

Full text

Abstract:

This work, presents four kinds of adjoint representations for the special unitary matrix Lie group SU(2) and the special unitary, special linear matrix Lie algebras su(2) and sl(2). In the first two we assume the vector spaces as the matrix Lie algebras su(2) and sl(2), later cases obtained by exploiting the action of su(2) and sl(2) on themselves. Also, we compute their direct sums. The results have been displayed as Tables in a nice form.

APA, Harvard, Vancouver, ISO, and other styles

2

Magee, Michael. "Random Unitary Representations of Surface Groups I: Asymptotic Expansions." Communications in Mathematical Physics 391, no. 1 (2021): 119–71. http://dx.doi.org/10.1007/s00220-021-04295-5.

Full text

Abstract:

AbstractIn this paper, we study random representations of fundamental groups of surfaces into special unitary groups. The random model we use is based on a symplectic form on moduli space due to Atiyah, Bott and Goldman. Let $$\Sigma _{g}$$ Σ g denote a topological surface of genus $$g\ge 2$$ g ≥ 2 . We establish the existence of a large n asymptotic expansion, to any fixed order, for the expected value of the trace of any fixed element of $$\pi _{1}(\Sigma _{g})$$ π 1 ( Σ g ) under a random representation of $$\pi _{1}(\Sigma _{g})$$ π 1 ( Σ g ) into $$\mathsf {SU}(n)$$ SU ( n ) . Each such e

APA, Harvard, Vancouver, ISO, and other styles

3

GÜNAYDIN, MURAT. "ON THE CHIRAL RINGS IN N=2 AND N=4 SUPERCONFORMAL ALGEBRAS." International Journal of Modern Physics A 08, no. 02 (1993): 301–24. http://dx.doi.org/10.1142/s0217751x93000126.

Full text

Abstract:

We study the chiral primary rings of N=2 and N=4 superconformal algebras (SCA’s) constructed over triple systems. The chiral primary states of N=2 SCA’s realized over Hermitian Jordan triple systems are given. Their coset spaces G/H are Hermitian-symmetric and can be compact or noncompact. In the noncompact case under the requirement of unitarity of the representations of G, we find an infinite discrete set of chiral primary states associated with the holomorphic discrete series representations of G and their analytic continuation. A further requirement that the corresponding N=2 module be uni

APA, Harvard, Vancouver, ISO, and other styles

4

BENVEGNÙ, ALBERTO, and MAURO SPERA. "ON UNCERTAINTY, BRAIDING AND ENTANGLEMENT IN GEOMETRIC QUANTUM MECHANICS." Reviews in Mathematical Physics 18, no. 10 (2006): 1075–102. http://dx.doi.org/10.1142/s0129055x06002863.

Full text

Abstract:

Acting within the framework of geometric quantum mechanics, an interpretation of quantum uncertainty is discussed in terms of Jacobi fields, and a connection with the theory of elliptic curves is outlined, via classical integrability of Schrödinger's dynamics and the cross-ratio interpretation of quantum transition probabilities. Furthermore, a thoroughly geometrical construction of all special unitary representations of the 3-strand braid group on the quantum 1-qubit space is given, and the connection of one of them with elliptic curves admitting complex multiplication automorphisms — the phy

APA, Harvard, Vancouver, ISO, and other styles

5

DIVAKARAN, P. P. "SYMMETRIES AND QUANTIZATION: STRUCTURE OF THE STATE SPACE." Reviews in Mathematical Physics 06, no. 02 (1994): 167–205. http://dx.doi.org/10.1142/s0129055x94000109.

Full text

Abstract:

This paper is concerned with the relationship between the group G of all symmetries of an unconstrained dynamical system and the space of its quantum states. The chief aim is to establish the validity of the claim that "quantizing a system" means deciding what G is and determining all projective unitary representations of G. The mathematical tool suited to this purpose is the theory of central extensions of an arbitrary group G by the circle group T (and the closely related cohomology group H2 (G, T)). The fundamental structural property is that there is a universal state space [Formula: see t

APA, Harvard, Vancouver, ISO, and other styles

6

Arano, Yuki. "Unitary spherical representations of Drinfeld doubles." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 742 (2018): 157–86. http://dx.doi.org/10.1515/crelle-2015-0079.

Full text

Abstract:

Abstract We study irreducible spherical unitary representations of the Drinfeld double of the q-deformation of a connected simply connected compact Lie group, which can be considered as a quantum analogue of the complexification of the Lie group. In the case of \mathrm{SU}_{q}(3) , we give a complete classification of such representations. As an application, we show the Drinfeld double of the quantum group \mathrm{SU}_{q}(2n+1) has property (T), which also implies central property (T) of the dual of \mathrm{SU}_{q}(2n+1) .

APA, Harvard, Vancouver, ISO, and other styles

7

Soto Jr., M. F., and R. Mirman. "Unitary-group canonical states and matrix elements." Canadian Journal of Physics 67, no. 8 (1989): 774–80. http://dx.doi.org/10.1139/p89-135.

Full text

Abstract:

States of unitary groups are realized as multinomials in boson operators, symmetrized to give symmetric-group basis states. From these, matrix elements of the group generators are calculated using the procedures discussed here. A table of basis states and matrix elements of unitary-group representations, and the values of the invariants so generated, is given for SU(1) through SU(4), for all symmetric groups from S(1) through S(3).

APA, Harvard, Vancouver, ISO, and other styles

8

DELBECQ, C., and C. QUESNE. "A CUBIC DEFORMATION OF su(2)." Modern Physics Letters A 08, no. 10 (1993): 961–66. http://dx.doi.org/10.1142/s0217732393000982.

Full text

Abstract:

A two-parameter cubic algebra [Formula: see text] which goes into su(2) for p, q→1 and into Witten’s first deformation of su(2) for p→1, q≠1, is presented. In the carrier space of its representations, the J0 spectrum is exponential. In the special case where 0<p=q<1, corresponding to the one-parameter algebra [Formula: see text] the unitary irreducible representations are studied in detail and some Dyson q-boson realizations are obtained. The cubic algebra [Formula: see text] can be generalized to λth degree algebras [Formula: see text] with λ > 3.

APA, Harvard, Vancouver, ISO, and other styles

9

Gudmundsson, Sigmundur. "Biharmonic functions on the special unitary group SU (2)." Differential Geometry and its Applications 53 (August 2017): 137–47. http://dx.doi.org/10.1016/j.difgeo.2017.05.011.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Akylzhanov, Rauan, and Alexis Arnaudon. "Contractions of group representations via geometric quantization." Letters in Mathematical Physics 110, no. 1 (2019): 43–59. http://dx.doi.org/10.1007/s11005-019-01212-9.

Full text

Abstract:

AbstractWe propose a general framework to contract unitary dual of Lie groups via holomorphic quantization of their coadjoint orbits, using geometric quantization. The sufficient condition for the contractibility of a representation is expressed via cocycles on coadjoint orbits. This condition is verified explicitly for the contraction of SU$$_2$$2 into $$\mathbb {H}$$H. We construct two types of contractions that can be implemented on every matrix Lie group with diagonal contraction matrix.

APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Special Unitary (SU) Group Representations"

1

Shaddad, Amna. "The classification and dynamics of the momentum polytopes of the SU(3) action on points in the complex projective plane with an application to point vortices." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/the-classification-and-dynamics-of-the-momentum-polytopes-of-the-su3-action-on-points-in-the-complex-projective-plane-with-an-application-to-point-vortices(456a7a49-ef1b-4660-a8e6-8d4cd0791d9d).html.

Full text

Abstract:

We have fully classified the momentum polytopes of the SU(3) action on CP(2)xCP(2) and CP(2)xCP(2) xCP(2), both actions with weighted symplectic forms, and their corresponding transition momentum polytopes. For CP(2)xCP(2) the momentum polytopes are distinct line segments. The action on CP(2)xCP(2) xCP(2), has 9 different momentum polytopes. The vertices of the momentum polytopes of the SU(3) action on CP(2)xCP(2) xCP(2), fall into two categories: definite and indefinite vertices. The reduced space corresponding to momentum map image values at definite vertices is isomorphic to the 2-sphere. W

APA, Harvard, Vancouver, ISO, and other styles

2

Silveira, Hector Bessa. "Formas triangulares para sistemas não-lineares com duas entradas e controle de sistemas sem arrasto em SU(n) com aplicações em mecânica quântica." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/3/3139/tde-13082010-163547/.

Full text

Abstract:

A presente tese aborda dois problemas distintos e independentes: triangularização de sistemas não-lineares com duas entradas e controle de sistemas sem arrasto que evoluem no grupo especial unitário SU(n). Em relação ao primeiro, estabeleceu-se, através da generalização de resultados bem conhecidos, condições geométricas para que um sistema com duas entradas seja descrito por uma forma triangular específica após uma mudança de coordenadas e uma realimentação de estado estática regular. Para o segundo problema, desenvolveu-se uma estratégia de controle que força o estado do sistema a rastrear a

APA, Harvard, Vancouver, ISO, and other styles

3

Sainadh, U. Satya. "An Efficient Quantum Algorithm and Circuit to Generate Eigenstates Of SU(2) and SU(3) Representations." Thesis, 2013. http://etd.iisc.ac.in/handle/2005/3425.

Full text

Abstract:

Many quantum computation algorithms, and processes like measurement based quantum computing, require the initial state of the quantum computer to be an eigenstate of a specific unitary operator. Here we study how quantum states that are eigenstates of finite dimensional irreducible representations of the special unitary (SU(d)) and the permutation (S_n) groups can be efficiently constructed in the computational basis formed by tensor products of the qudit states. The procedure is a unitary transform, which first uses Schur-Weyl duality to map every eigenstate to a unique Schur basis state, and

APA, Harvard, Vancouver, ISO, and other styles

4

Sainadh, U. Satya. "An Efficient Quantum Algorithm and Circuit to Generate Eigenstates Of SU(2) and SU(3) Representations." Thesis, 2013. http://etd.iisc.ernet.in/2005/3425.

Full text

Abstract:

Many quantum computation algorithms, and processes like measurement based quantum computing, require the initial state of the quantum computer to be an eigenstate of a specific unitary operator. Here we study how quantum states that are eigenstates of finite dimensional irreducible representations of the special unitary (SU(d)) and the permutation (S_n) groups can be efficiently constructed in the computational basis formed by tensor products of the qudit states. The procedure is a unitary transform, which first uses Schur-Weyl duality to map every eigenstate to a unique Schur basis state, and

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Special Unitary (SU) Group Representations"

1

Othman, Abdullah Tahir. Permutation representations of extensions of the projective special linear group L [inferior]3 (4) and the projective special unitary group U [inferior]4 (3). University of Birmingham, 1989.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

1938-, Griffiths Phillip, and Kerr Matthew D. 1975-, eds. Hodge theory, complex geometry, and representation theory. Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2013.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Special Unitary (SU) Group Representations"

1

Samoilenko, Y. S. "Unitary Representations of the Group of Finite SU(2)-Currents on a Countable Set." In Spectral Theory of Families of Self-Adjoint Operators. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3806-2_7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Dirac, P. A. M. "Unitary representations of the Lorentz group." In Special Relativity and Quantum Theory. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-3051-3_5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Wigner, E. "On Unitary Representations of the Inhomogeneous Lorentz Group." In Special Relativity and Quantum Theory. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-3051-3_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

"The Special Unitary Group SU(2)." In Symmetries and Conservation Laws in Particle Physics. IMPERIAL COLLEGE PRESS, 2010. http://dx.doi.org/10.1142/9781848167049_0004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

"The Special Unitary Group SU(3)." In Symmetries and Conservation Laws in Particle Physics. IMPERIAL COLLEGE PRESS, 2010. http://dx.doi.org/10.1142/9781848167049_0006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Iliopoulos, J., and T. N. Tomaras. "Elements of Group Theory." In Elementary Particle Physics. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192844200.003.0005.

Full text

Abstract:

The mathematical language which encodes the symmetry properties in physics is group theory. In this chapter we recall the main results. We introduce the concepts of finite and infinite groups, that of group representations and the Clebsch–Gordan decomposition. We study, in particular, Lie groups and Lie algebras and give the Cartan classification. Some simple examples include the groups U(1), SU(2) – and its connection to O(3) – and SU(3). We use the method of Young tableaux in order to find the properties of products of irreducible representations. Among the non-compact groups we focus on the Lorentz group, its relation with O(4) and SL(2,C), and its representations. We construct the space of physical states using the infinite-dimensional unitary representations of the Poincaré group.

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Special Unitary (SU) Group Representations"

1

Deng, Yubao, Pengxing Guo, Sijing Yu, Weigang Hou, and Lei Guo. "All-optica Special Unitary Group of Degree Two (SU(2)) Unit and Splitter Based on MZI and Nonvolatile Phase-Change Material." In 2022 Asia Communications and Photonics Conference (ACP). IEEE, 2022. http://dx.doi.org/10.1109/acp55869.2022.10088704.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Barrett, G. R., A. K. Powell, and T. J. Hall. "Dynamic Solutions and Instabilities of the Four-wave Mixing Interaction Utilising the Underlying SU(2) Group Symmetry." In Photorefractive Materials, Effects, and Devices II. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/pmed.1991.tuc21.

Full text

Abstract:

Optical phase conjugation is an important nonlinear process, with many applications in the areas of optical communications and optical processing. This is as a result of the wave-front correction properties that phase conjugation offers and this has generated much interest in the area. A common method of producing phase conjugated wavefronts is the four-wave mixing interaction and many publications on the steady state solution to this problem have appeared over the last decade. More recently, however, interest has been focussed upon the temporal behaviour of four-wave mixing systems, with inst

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!