Results 71 to 80 of about 11,023 (307)
Modeling Quantum Behavior in the Framework of Permutation Groups
EPJ Web of Conferences, 2018 Quantum-mechanical concepts can be formulated in constructive finite terms without loss of their empirical content if we replace a general unitary group by a unitary representation of a finite group.
Kornyak Vladimir
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Weil Representations of Unitary Groups
Journal of Algebra, 1999 It is well known that the finite unitary group \(\text{U}_n(q)\), where \(q\) is a positive integral power of a prime \(p\), has a complex representation of degree \(q^n\). This representation may be normalized so that it has determinant \(1\) on each group element.
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On a Simple Relation between Duffin-Kemmer-Petiau and Tzou Algebras
Advances in Mathematical Physics, 2018 A simple link between βμ matrices of the Duffin-Kemmer-Petiau theory and ρμ matrices of Tzou representations is constructed. The link consists of a constant unitary transformation of the βμ matrices and a projection onto a lower-dimensional subspace.
Andrzej Okniński
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On unitary representations of Jacobi groups.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1992 This is a corrigendum to the author's article in [J. Reine Angew. Math. 409, 138-171 (1990; Zbl 0702.11027)]. This paper gives a new proof of Prop. 9.1 and its generalization. Our main result is that the holomorphic discrete series of a Jacobi group has a minimal \(K\)-type \(\delta\) with multiplicity one.
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Journal of the American Oil Chemists' Society, EarlyView.The statistical analysis of SAXS modelling data allows to identify the critical physicochemical parameters that have an impact on the phase behavior of crude sophorolipid batches. ABSTRACT The aqueous self‐assembly of raw sophorolipid mixtures has been studied by small angle x‐ray scattering (SAXS) to understand the impact of the composition ...
Maia Ouret‐Campagnet +5 more
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Low-dimensional representations of special unitary groups
, 2001 We prove gap results for the low-dimensional representation of unitary groups in nondefining characteristics. More precisely, we give a lower bound for the third smallest degree of a nontrivial absolutely irreducible representation of the groups ...
Malle, Gunter, Hiß, Gerhard
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Quantum Heat Current in Terahertz‐Driven Phonon Systems
Advanced Physics Research, EarlyView.We develop a quantum mechanical description of ultrafast thermodynamics on the example of a laser‐excited phonon mode. We show that the resulting quantum heat current exhibits non‐Markovian dynamics, which can be controlled by the pulse length. ABSTRACT The advent of high‐intensity ultrafast laser pulses has opened new opportunities for controlling and
Yulong Qiao, R. Matthias Geilhufe
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Irreducible unitary representations of SU(2, 2)
, 1982 We give an explicit classification of the irreducible unitary representations of the simple Lie group SU(2, 2)
Knapp, A.W, Speh, B
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Ambitwistors, oscillators and massless fields on AdS5
Physics Letters B, 2016 Positive energy unitary irreducible representations of SU(2,2) can be constructed with the aid of bosonic oscillators in (anti)fundamental representation of SU(2)L×SU(2)R that are closely related to Penrose twistors.
D.V. Uvarov
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On Unitary Equivalence of Representations of C ∗ -Algebras [PDF]
Proceedings of the American Mathematical Society, 1979 Assuming the continuum hypothesis, there are inequivalent irreducible representations of B (
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