On the Differentability of the Unitary Representation of the Lie Group. [PDF]
, 1951 J. von Neumann ([2]) has introduced the notion of the differentiablity of the matric group, and given a method of forming Lie algebras of matric Lie groups. This notion was extended further by K. Yosida ([4]) to the group embedded in tne normed ring.
J. Hano
semanticscholar +2 more sources
Exploring Representation Theory of Unitary Groups via Linear Optical Passive Devices [PDF]
Open systems & information dynamics, 2006 P. Aniello, C. Lupo, M. Napolitano
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On Non-Commutative Operator Graphs Generated by Reducible Unitary Representation of the Heisenberg-Weyl Group [PDF]
International Journal of Theoretical Physics, 2018 We consider a reducible unitary representation of Heisenberg-Weyl group in a tensor product of two Hilbert spaces. A non-commutative operator graph generated by this representation is introduced.
Grigori G. Amosov, A. S. Mokeev
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Local unitary representation of braids and N-qubit entanglements [PDF]
Quantum Information Processing, 2017 In this paper, by utilizing the idea of stabilizer codes, we give some relationships between one local unitary representation of braid group in N-qubit tensor space and the corresponding entanglement properties of the N-qubit pure state $$|\varPsi ...
Li-Wei Yu
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Representation and design of wavelets using unitary circuits [PDF]
, 2016 The representation of discrete, compact wavelet transformations (WTs) as circuits of local unitary gates is discussed. We employ a similar formalism as used in the multiscale representation of quantum many-body wave functions using unitary circuits ...
G. Evenbly, S. White
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Geometric Positivity of the Fusion Products of Unitary Vertex Operator Algebra Modules [PDF]
Comm. Math. Phys. 405, 72 (2024), 2023 A unitary and strongly rational vertex operator algebra (VOA) $V$ is called strongly unitary if all irreducible $V$-modules are unitarizable. A strongly unitary VOA $V$ is called completely unitary if for each unitary $V$-modules $W_1$, $W_2$ the canonical nondegenerate Hermitian form on the fusion product $W_1\boxtimes W_2$ is positive.
arxiv +1 more source
Hamiltonian Quantization of Chern-Simons theory with SL(2,C) Group [PDF]
, 2002 We analyze the hamiltonian quantization of Chern-Simons theory associated to the universal covering of the Lorentz group SO(3,1). The algebra of observables is generated by finite dimensional spin networks drawn on a punctured topological surface.
Alekseev A Yu +22 more
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Unitary quantum lattice simulations for Maxwell equations in vacuum and in dielectric media [PDF]
Journal of Plasma Physics, 2020 Utilizing the similarity between the spinor representation of the Dirac and the Maxwell equations that has been recognized since the early days of relativistic quantum mechanics, a quantum lattice algorithm (QLA) representation of unitary collision ...
G. Vahala, L. Vahala, M. Soe, A. Ram
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Twisted actions and the obstruction to extending unitary representations of subgroups [PDF]
, 2003 Suppose that $G$ is a locally compact group and $\pi$ is a (not necessarily irreducible) unitary representation of a closed normal subgroup $N$ of $G$ on a Hilbert space $H$.
Huef, Astrid an, Raeburn, Iain
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A Brief Overview of The Development of Body Representations Across Infancy, Childhood and Adulthood
Mediterranean Journal of Clinical Psychology, 2022 For centuries, philosophers have pondered over how bodies are represented as unitary entities and contemporary research is beginning to elucidate the answer.
Liam Alexander MacKenzie Myles
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