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Lectures on the Mathematics of Quantum Mechanics I
Elements of the history of Quantum Mechanics I.- Elements of the history of Quantum Mechanics II.- Axioms, states, observables, measurement, difficulties.- Entanglement, decoherence, Bell's inequalities, alternative theories.- Automorphisms Quantum ...
G. Dell'Antonio
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Fixed rings of quantum generalized Weyl algebras [PDF]
Generalized Weyl algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants of quantum GWAs under finite order automorphisms.
Jason Gaddis, P. Ho
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The center of small quantum groups II: singular blocks [PDF]
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum groups, Contemporary Mathematics 433 (American Mathematical Society, Providence, RI, 2007) 89–101] that describes the center of the principal block of a small
A. Lachowska, You Qi
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Spintronic Memtransistor Leaky Integrate and Fire Neuron for Spiking Neural Networks
Spintronic memtransistor neurons based on domain walls enable energy‐efficient, field‐gated, and current‐controlled LIF functionality for neuromorphic computing, as demonstrated. When integrated into spiking neural network architectures, these devices achieve >96% pattern recognition accuracy, demonstrating high performance, scalability, and mem ...
Aijaz H. Lone+7 more
wiley +1 more source
DEMAZURE MODULES OF LEVEL TWO AND PRIME REPRESENTATIONS OF QUANTUM AFFINE $\mathfrak{sl}_{n+1}$ [PDF]
We study the classical limit of a family of irreducible representations of the quantum affine algebra associated to $\mathfrak{sl}_{n+1}$ . After a suitable twist, the limit is a module for $\mathfrak{sl}_{n+1}[t]$ , i.e., for the maximal standard ...
Matheus Brito+2 more
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Sustainable Thermal Solutions: Enhancing Heat Transfer with Turbulators and Nanofluids
Nanofluids, which are nanoparticle suspensions in base fluid, facilitate heat transmission due to their improved thermal conductivity. Turbulators, which are inserts into fluid flow channels, disturb the flow, increasing turbulence and hence the heat transfer rate.
Zafar Said+9 more
wiley +1 more source
The functional Ito formula, in the form df(Λ) = f(Λ + d Λ) −f(Λ), is formulated and proved in the context of a Lie algebra L associated with a quantum (non‐commutative) stochastic calculus. Here f is an element of the universal enveloping algebra U of L,
R. Hudson, S. Pulmannová
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A Privacy‐Preserving System for Confidential Carpooling Services Using Homomorphic Encryption
This research presents a homomorphic encryption‐based solution to enhance privacy in carpooling without compromising functionality. Rigorous experiments confirm its robustness, accuracy, and efficiency in securely matching users while preserving confidentiality.
David Palma+3 more
wiley +1 more source
Localized and Extended Phases in Square Moiré Patterns
Rotated superimposed lattices in two dimensions, the termed moiré patterns, represent a clear example of how the structure affects the physical properties of a particle moving on it. A robust numerical treatment of continuous and discrete models leads to confirm that while localized states result from angles that produce non‐commensurable lattices ...
C. Madroñero+2 more
wiley +1 more source
Hom-Lie color algebra structures [PDF]
This paper introduces the notion of Hom-Lie color algebra, which is a natural general- ization of Hom-Lie (super)algebras. Hom-Lie color algebras include also as special cases Lie (super) algebras and Lie color algebras. We study the homomorphism relation of Hom-Lie color algebras, and construct new algebras of such kind by a \sigma-twist.
arxiv +1 more source