Results 51 to 60 of about 2,610 (263)

A PROPOSAL FOR A DIFFERENTIAL CALCULUS IN QUANTUM MECHANICS [PDF]

International Journal of Modern Physics A, 1994
In this paper, using, the Weyl-Wigner-Moyal formalism for quantum mechanics, we develop a quantum-deformed exterior calculus on the phase space of an arbitrary Hamiltonian system. Introducing additional bosonic and fermionic coordinates, we construct a supermanifold which is closely related to the tangent and cotangent bundle over phase space.
GOZZI, ENNIO, REUTER M.
openaire   +4 more sources

Integral calculus on quantum exterior algebras [PDF]

International Journal of Geometric Methods in Modern Physics, 2014
Hom-connections and associated integral forms have been introduced and studied by Brzeziński as an adjoint version of the usual notion of a connection in non-commutative geometry. Given a flat hom-connection on a differential calculus (Ω, d) over an algebra A yields the integral complex which for various algebras has been shown to be isomorphic to the ...
Karaçuha, Serkan, Lomp, Christian
openaire   +2 more sources

Fundamentals of Right Hahn q-Symmetric Calculus and Related Inequalities

Journal of Function Spaces
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite ...
Muhammad Nasim Aftab, Saad Ihsan Butt, Youngsoo Seol   +2 more
doaj   +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

A light‐triggered Time‐Resolved X‐ray Solution Scattering (TR‐XSS) workflow with application to protein conformational dynamics

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei, Fredrik Orädd, Konstantinos Magkakis, Magnus Andersson   +3 more
wiley   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 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

Refinement of amino‐acid conformation vs. difference density maps in time‐resolved serial femtosecond crystallography data analysis

FEBS Open Bio, EarlyView.
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong, Yuhei Hosokawa, Lars Oliver Essen, Manuel Maestre‐Reyna   +3 more
wiley   +1 more source

Trichromatic Open Digraphs for Understanding Qubits [PDF]

Electronic Proceedings in Theoretical Computer Science, 2012
We introduce a trichromatic graphical calculus for quantum computing. The generators represent three complementary observables that are treated on equal footing, hence reflecting the symmetries of the Bloch sphere. We derive the Euler angle decomposition
Alex Lang, Bob Coecke
doaj   +1 more source

Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes

FEBS Open Bio, EarlyView.
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard, Emma‐Jayne Proctor, Jiawa Wang, Nikolas P. Johnston, Andrew Hayes, Georgia McCorkell, Haibo Yu, Jai Tree, Mark R. Davies, Mark J. Walker, Ronald Sluyter, Stephan Brouwer, Martina L. Sanderson‐Smith   +12 more
wiley   +1 more source