Results 1 to 10 of about 85,887 (322)

A Stochastic Fractional Calculus with Applications to Variational Principles

Fractal and Fractional, 2020
We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Houssine Zine, Delfim F. M. Torres
doaj   +1 more source

Bicovariant Differential Calculus on the Quantum D=2 Poincare Group

, 1992
We present a bicovariant differential calculus on the quantum Poincare group in two dimensions.
Bernard, Castellani, Castellani, Celeghini, Celeghini, Celeghini, Connes, Connes, Curtright, Drinfeld, Faddeev, Jimbo, Jimbo, Leonardo Castellani, Manin, Podlés, Schmidke, Woronowicz, Woronowicz, Woronowicz, Woronowicz, Zumino   +21 more
core   +1 more source

Quantum Behavior Arises Because Our Universe is a Fractal [PDF]

Reports in Advances of Physical Sciences, 2017
To explain the origin of quantum behavior, we propose a fractal calculus to describe the non-local property of the fractal curve [Y. Tao, J. Appl. Math. 2013 (2013) 308691]. This study demonstrates that if the dimension of time axis is slightly less than
Yong Tao
doaj   +1 more source

Differential calculus on the quantum Heisenberg group

, 1996
The differential calculus on the quantum Heisenberg group is conlinebreak structed. The duality between quantum Heisenberg group and algebra is proved.Comment: AMSTeX, Pages
Bonechi F, Karol Przanowski, Pawel Maslanka, Piotr Kosinski, Stachura P, Woronowicz S L, Woronowicz S L, Woronowicz S L   +7 more
core   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

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

Mechanochemical Synthesis and Characterization of Nanostructured ErB4 and NdB4 Rare‐Earth Tetraborides

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur, Faruk Kaya, Bora Derin, Mustafa Lütfi Öveçoğlu, Ju Li, Duygu Ağaoğulları   +5 more
wiley   +1 more source

Estimation of divergence measures on time scales via Taylor’s polynomial and Green’s function with applications in q-calculus

Advances in Difference Equations, 2021
Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for some divergence measures in quantum calculus and
Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić, Josip Pečarić   +4 more
doaj   +1 more source

Basic Logic and Quantum Entanglement [PDF]

, 2006
As it is well known, quantum entanglement is one of the most important features of quantum computing, as it leads to massive quantum parallelism, hence to exponential computational speed-up.
Battilotti G, Bell J S, Birkhoff G, Gentzen G, Jozsa R, Nielsen M A, P A Zizzi, Zizzi P   +7 more
core   +2 more sources

Trace Nickel Activated Biphasic Core‐CuOii/Shell‐CuOi Secondary Microspheres Enable Room Temperature Parts‐Per‐Trillion‐Level NO2 Detection

Advanced Engineering Materials, EarlyView.
An idea of designing novel sensors is proposed by creating appropriate Schottky barriers and vacancies between isomorphous Core‐CuOii/ Shell‐CuOi secondary microspheres and enhancing catalytic and spill‐over effects, and electronegativity via spontaneous biphasic separation, self‐assembly, and trace‐Ni‐doping.
Bala Ismail Adamu, Peipei Chen, Shafia Mukhtar Ibrahim, Mukhtar Lawan Adam, Attia Falak, Mokhotjwa Simon Dhlamini, Hanfu Wang, Lingxiang Jiang, Weiguo Chu   +8 more
wiley   +1 more source