Results 81 to 90 of about 1,660,234 (361)
Asymptotic properties of unitary representations
Journal of Functional Analysis, 1979 AbstractIf ϱ is a unitary representation of a locally compact group G, one is very often interested in the asymptotic behavior of the operators ϱ(g) as g tends to ∞ in G. Put another way one is interested in what operators not in ϱ(G) can be (weak) limits of the ϱ(g) as g tends to ∞.
Roger Howe +3 more
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Minimal unitary representations from supersymmetry [PDF]
Journal of High Energy Physics, 2014 We compute the supersymmetry constraints on the R^4 type corrections in maximal supergravity in dimension 8, 6, 4 and 3, and determine the tensorial differential equations satisfied by the function of the scalar fields multiplying the R^4 term in the corresponding invariants.
Bossard, Guillaume, Verschinin, Valentin
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Advanced Science, EarlyView.A quantum kernel‐aligned regressor (QKAR) is developed for modeling Ohmic contact formation in GaN HEMT fabrication. Leveraging experimental data and a Pauli‐Z feature map enhanced with a quantum kernel alignment (QKA) layer, the model achieves superior predictive performance over classical methods.
Zeheng Wang +7 more
wiley +1 more source
Remarks on the Representation Theory of the Moyal Plane
Advances in Mathematical Physics, 2011 We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.
J. M. Isidro +3 more
doaj +1 more source
Entanglement Structure of the Adjoint Representation of the Unitary Group and Tomography of Quantum States [PDF]
, 2003 The density matrix of composite spin system is discussed in relation to the adjoint representation of unitary group $U(n)$. The entanglement structure is introduced as an additional ingredient to the description of the linear space carrying the adjoint ...
V. Man'ko +3 more
semanticscholar +1 more source
Unitary representations of non-compact supergroups [PDF]
Communications in Mathematical Physics, 1983 We give a general theory for the construction of oscillator-like unitary irreducible representations (UIRs) of non-compact supergroups in a super Fock space. This construction applies to all non-compact supergroupsG whose coset spaceG/K with respect to their maximal compact subsupergroupK is “Hermitean supersymmetric”. We illustrate our method with the
Bars, I., Günaydin, M.
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Advanced Science, EarlyView.Why do some people fear or distrust AI agents more than others? This twin study shows that negative attitudes toward AI may partly stem from genetic factors, linking them to traits like victim sensitivity and moral beliefs. These findings show that it is not only nurture but also nature that shapes our views of AI, with implications for future human–AI
Xiaojiayu Tan +7 more
wiley +1 more source
Entropy, 2019 The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-level atom) state is established. This evolution is determined by a unitary
Julio A. López-Saldívar +3 more
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Linear periods for unitary representations
Mathematische Zeitschrift, 2022 Let $F$ be a local non-Archimedean field of characteristic zero with a finite residue field. Based on Tadić's classification of the unitary dual of $\mathrm{GL}_{2n}(F)$, we classify irreducible unitary representations of $\mathrm{GL}_{2n}(F)$ that have nonzero linear periods, in terms of Speh representations that have nonzero periods.
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Unitary representations of rational Cherednik algebras [PDF]
Representation Theory of the American Mathematical Society, 2009 We study unitarity of lowest weight irreducible representations of rational Cherednik algebras. We prove several general results, and use them to determine which lowest weight representations are unitary in a number of cases. In particular, in type A, we give a full description of the unitarity locus (justified in Subsection 5.1 and the appendix ...
Etingof, Pavel I. +2 more
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