Results 21 to 30 of about 312 (162)

The Invariant Two-Parameter Function of Algebras ψ

Mathematical and Computational Applications, 2019
At present, the research on invariant functions for algebras is very extended since Hrivnák and Novotný defined in 2007 the invariant functions ψ and φ as a tool to study the Inönü−Wigner contractions (IW ...
José María Escobar, Juan Núñez-Valdés, Pedro Pérez-Fernández   +2 more
doaj   +1 more source

Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl_2 (Theorem 3).
Dmitry Fuchs, Constance Wilmarth
doaj   +1 more source

On the Modeling of Irreversibility by Relaxator Liouville Dynamics

Annalen der Physik, Volume 538, Issue 2, February 2026.
A general approach to modeling irreversibility starting from microscopic reversibility is presented. A relaxator that breaks reversibility condenses in the Liouville operator of the relevant degrees of freedom. The irreversible relaxator Liouville equation contains memory effects and initial correlations of all degrees of freedom. Stationary states are
János Hajdu, Martin Janßen
wiley   +1 more source

Quantization of the Rank Two Heisenberg–Virasoro Algebra

Axioms
Quantum groups occupy a significant position in both mathematics and physics, contributing to progress in these fields. It is interesting to obtain new quantum groups by the quantization of Lie bialgebras.
Xue Chen
doaj   +1 more source

Analyzing the Free States of one Quantum Resource Theory as Resource States of Another

Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris, Paolo Braccia, Pablo Bermejo, N. L. Diaz, Antonio A. Mele, M. Cerezo   +5 more
wiley   +1 more source

Representações da Mecânica Quântica [PDF]

Revista Brasileira de Ensino de Física
Resumo Considerando aspectos gerais do movimento, o conteúdo de simetrias de Lie é deduzido como uma estrutura central para as teorias mecânicas. Este aparato algébrico está relacionado ao princípio variacional de Schwinger, que por vez, associa-se à ...
Ronni G.G. Amorim, Ademir E. Santana, Samuel J. Simon, J. David M. Vianna   +3 more
doaj   +1 more source

Control of Open Quantum Systems via Dynamical Invariants

Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.
Dynamical invariants are used to reverse‐engineer control fields for open quantum systems described by time‐dependent Lindblad master equations. By minimizing an analytic leakage functional, the protocol dynamically steers the state along an effectively decoherence‐free path without costly iterative propagation.
Loris M. Cangemi, Hilario Espinós, Ricardo Puebla, Erik Torrontegui, Amikam Levy   +4 more
wiley   +1 more source

Groups, Special Functions and Rigged Hilbert Spaces

Axioms, 2019
We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo   +2 more
doaj   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

Explicit Baker–Campbell–Hausdorff Expansions

Mathematics, 2018
The Baker–Campbell–Hausdorff (BCH) expansion is a general purpose tool of use in many branches of mathematics and theoretical physics. Only in some special cases can the expansion be evaluated in closed form.
Alexander Van-Brunt, Matt Visser
doaj   +1 more source