Results 71 to 80 of about 81,951 (325)

A general quantum difference calculus [PDF]

Advances in Difference Equations, 2015
In this paper, we consider a strictly increasing continuous function β, and we present a general quantum difference operator $D_{\beta}$ which is defined to be ${D}_{\beta}f(t)= ({f(\beta(t))-f(t)} )/ ({\beta(t)-t} )$. This operator yields the Hahn difference operator when $\beta(t)=qt+\omega$ , the Jackson q-difference operator when $\beta (t)=qt$
Alaa E. Hamza, Abdel-Shakoor M. Sarhan, Enas M. Shehata, K. A. Aldwoah   +3 more
openaire   +2 more sources

On the deformability of Heisenberg algebras

, 1995
Based on the vanishing of the second Hochschild cohomology group of the enveloping algebra of the Heisenberg algebra it is shown that differential algebras coming from quantum groups do not provide a non-trivial deformation of quantum mechanics.
A. Chodos, A. Hebecker, A.L. Rosenberg, C. Kassel, C. Zachos, D.B. Farlie, F. Bayen, F. Bonechi, F. Cloux du, G. Fiore, H. Awata, H. Cartan, J. Schwenk, J. Wess, L. Castellani, M. Gerstenhaber, M. Jimbo, M. Pillin, M. Pillin, M.A. Rieffel, Mathias Pillin, O. Ogievetsky, O. Ogievetsky, O. Ogievetsky, P. Feinsilver, P.P. Kulish, T. Hayashi, T.I. Curtright, V.G. Drinfeld   +28 more
core   +2 more sources

Consolidate Overview of Ribonucleic Acid Molecular Dynamics: From Molecular Movements to Material Innovations

Advanced Engineering Materials, EarlyView.
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley   +1 more source

Completeness of algebraic CPS simulations [PDF]

Electronic Proceedings in Theoretical Computer Science, 2012
The algebraic lambda calculus and the linear algebraic lambda calculus are two extensions of the classical lambda calculus with linear combinations of terms.
Ali Assaf, Simon Perdrix
doaj   +1 more source

Quantum Regge calculus

Physics Letters B, 1981
Abstract We consider the quantization of Regge's discrete description of gravity using functional methods. We show that in the weak field limit the standard continuum theory emerges.
Martin Rocek, Ruth M. Williams
openaire   +2 more sources

Classification of bicovariant differential calculi on the Jordanian quantum groups GL_{g,h}(2) and SL_{h}(2) and quantum Lie algebras

, 1998
We classify all 4-dimensional first order bicovariant calculi on the Jordanian quantum group GL_{h,g}(2) and all 3-dimensional first order bicovariant calculi on the Jordanian quantum group SL_{h}(2).
Abdesselam B, Aizawa N, Andrew D Jacobs, Aneva B L, Arutuynov G E, Ballesteros A, Bergman G, Bremner M, Bresser K, Brzezinski T, Chari V, Cho S, Connes A, Connes A, Delius G W, Delius G W, Demidov E E, Demidov E E, Donin J, Faddeev L D, Flanders H, Gurevich D I, Hearn A C, Heckenberger I, J F Cornwell, Jurco B, Karimpour V, Karimpour V, Koszul J L, Lazarev A Yu, Madore J, Majid S, Maltsiniotis G, Manin Yu I, Manin Yu I, McConnell J C, Mukhin E E, Müller Hoissen F, Müller Hoissen F, Müller Hoissen F Differential calculi on quantum (sub-)groups, Müller-Hoissen F, Ohn C, Reshetikhin N Yu, Schirrmacher A, Schmüdgen K, Schmüdgen K, Segal I, Van der Jeugt J, Woronowicz S L, Woronowicz S L, Zakrzewski S   +50 more
core   +1 more source

First‐Principles Modeling of Solid Solution Softening and Hardening Effects in Al–Mg–Zr–Si Aluminum Alloys

Advanced Engineering Materials, EarlyView.
The role of various alloying elements in face‐centered cubic aluminum on the barrier of a Shockley partial dislocation during its motion is presented. The study aims to understand how alloying atoms such as Mg, Si, and Zr affect the energy landscape for dislocation motion, thus influencing the solid solution hardening and softening in aluminum, which ...
Inna Plyushchay, Zhengqing Wei, Nebahat Bulut, Sibylle Gemming   +3 more
wiley   +1 more source

On the Differential Geometry of $GL_q(1| 1)$

, 2001
The differential calculus on the quantum supergroup GL$_q(1| 1)$ was introduced by Schmidke {\it et al}. (1990 {\it Z. Phys. C} {\bf 48} 249). We construct a differential calculus on the quantum supergroup GL$_q(1| 1)$ in a different way and we obtain ...
Banks T, Bigatti D, Connes A, Curtright T, Drinfeld V G, Faddeev L D, Manin Yu I, Reshetikhin N Y, Salih Çelik, Schirrmacher A, Schmidke W, Schupp P, Schwenk S, Sultan A Çelik, Woronowicz S L, Çelik S, Çelik S   +16 more
core   +1 more source

Finite Element Modeling of Residual Stress Formation during Nanosecond Laser Ablation of Stainless Steel

Advanced Engineering Materials, EarlyView.
This article investigates residual stress formation during single‐spot nanosecond laser ablation of stainless steel. Experimental validation and a parametric study using finite element simulations are employed to analyze thermal effects, ablation dynamics, and stress evolution.
Yutaka Tsumura, Anna Paradowska, Andrei V. Rode, Steve Madden, Ludovic Rapp, Meera Mohan, Alison Wain, Gwénaëlle Proust   +7 more
wiley   +1 more source

A Simplified Stabilizer ZX-calculus [PDF]

Electronic Proceedings in Theoretical Computer Science, 2017
The stabilizer ZX-calculus is a rigorous graphical language for reasoning about quantum mechanics.The language is sound and complete: a stabilizer ZX-diagram can be transformed into another one if and only if these two diagrams represent the same quantum
Miriam Backens, Simon Perdrix, Quanlong Wang   +2 more
doaj   +1 more source