Results 41 to 50 of about 1,857,430 (354)
Canonical quantization of the covariant fields on de Sitter spacetimes
, 2022 The properties of the covariant quantum fields on de Sitter spacetimes are investigated focusing on the isometry generators and Casimir operators in order to establish the equivalence among the covariant representations and the unitary irreducible ones ...
Cotaescu, Ion I.
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Tight Representations of 0-𝐸-Unitary Inverse Semigroups
Abstract and Applied Analysis, 2011 We study the tight representation of a semilattice in {0,1} by some examples. Then we introduce the concept of the complex tight representation of an inverse semigroup 𝑆 by the concept of the tight representation of the semilattice of idempotents 𝐸 of 𝑆 ...
Bahman Tabatabaie Shourijeh +1 more
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The unitary representations of the Poincar\'e group in any spacetime dimension
SciPost Physics Lecture Notes, 2021 An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented.
Xavier Bekaert, Nicolas Boulanger
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Generalizations of the standard Artin representation are unitary
International Journal of Mathematics and Mathematical Sciences, 2005 We consider the Magnus representation of the image of the braid group under the generalizations of the standard Artin representation discovered by M. Wada.
Mohammad N. Abdulrahim
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An efficient high dimensional quantum Schur transform [PDF]
Quantum, 2019 The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an $n$ fold tensor product $V^{\otimes n}$ of a vector space $V$ of dimension $d$.
Hari Krovi
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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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Generalized group designs: constructing novel unitary 2-, 3- and 4-designs [PDF]
QuantumUnitary designs are essential tools in several quantum information protocols. Similarly to other design concepts, unitary designs are mainly used to facilitate averaging over a relevant space, in this case, the unitary group $\mathrm{U}(d)$.
Ágoston Kaposi +3 more
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Designing locally maximally entangled quantum states with arbitrary local symmetries [PDF]
Quantum, 2021 One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries.
Oskar Słowik +2 more
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Wave Front Sets of Reductive Lie Group Representations [PDF]
, 2015 If $G$ is a Lie group, $H\subset G$ is a closed subgroup, and $\tau$ is a unitary representation of $H$, then the authors give a sufficient condition on $\xi\in i\mathfrak{g}^*$ to be in the wave front set of $\operatorname{Ind}_H^G\tau$.
Harris, Benjamin +2 more
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Unitary quantization of a scalar charged field and Schwinger effect
Journal of High Energy Physics, 2020 Quantum field theory in curved spacetimes suffers in general from an infinite ambiguity in the choice of Fock representation and associated vacuum. In cosmological backgrounds, the requirement of a unitary implementation of the field dynamics in the ...
Luis J. Garay +2 more
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