Results 51 to 60 of about 11,477 (229)
The Schrödinger Equation for a Free Particle: Generalized Bessel Solutions
AxiomsWe demonstrate the time evolution of a free particle in a three-dimensional space given that the initial condition is any arbitrary radial function f(r).
Francisco Soto-Eguibar +5 more
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On the Evaluation of Bessel Functions
Applied and Computational Harmonic Analysis, 1993 The author presents an algorithm for the evaluation of Bessel functions \(J_ \nu(x)\), \(Y_ \nu(x)\) and \(H_ \nu^{(j)}(x)\) \((j=1,2)\) of arbitrary positive orders and arguments. This algorithm consists of two parts: One of them combines the evaluation of the function \(H_ \nu^{(1)}(x)\) via Taylor expansions and via numerical computation of the ...
openaire +2 more sources
Integral Representations for Products of Two Bessel or Modified Bessel Functions
Mathematics, 2019 The first part of the article contains integral expressions for products of two Bessel functions of the first kind having either different integer orders or different arguments.
Dragana Jankov Maširević +1 more
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Biotechnology and Bioengineering, EarlyView.ABSTRACT Adeno‐associated viruses (AAVs) are the leading vectors for in vivo gene therapy, fueling a growing demand for scalable and robust biomanufacturing processes. Yet, the impact of cell lysis conditions on the performance of midstream and downstream unit operations across serotypes remains poorly characterized.
Arianna Minzoni +20 more
wiley +1 more source
Major Reference Works, Page 169-176., 2023 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
wiley +1 more source
Chemistry – A European Journal, EarlyView.A Pt(II) bis(NHC) complex is immobilized on mesoporous silica through directional F–Si interactions encoded in the ligand framework. Quantitative 19F{29Si} REDOR experiments and molecular dynamics simulations establish Å‐scale catalyst–support contacts and define the interfacial organization.
Alexander Bergen +10 more
wiley +1 more source
From Circular to Bessel Functions: A Transition through the Umbral Method
Fractal and Fractional, 2017 A common environment in which to place Bessel and circular functions is envisaged. We show, by the use of operational methods, that the Gaussian provides the umbral image of these functions.
Giuseppe Dattoli +3 more
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The Canadian Journal of Chemical Engineering, EarlyView.Abstract Engineering graduate students confuse the scientific method and problem solving when presenting their pre‐doctoral exams and theses: Science discourse adopts question and hypotheses to assert and establish a study's rationale, while it is problem and objectives in engineering design.
Gregory S. Patience +4 more
wiley +1 more source
Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
wiley +1 more source
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Graphite nanofluids were stabilized using a mixed SDS/Tween 80 surfactant system. The optimized formulation exhibited enhanced colloidal stability, red‐shifted UV–Vis absorption, and improved photothermal conversion under solar irradiation. Achieving stable dispersion of graphite flakes (GFs) in aqueous media remains a critical challenge in developing ...
Ahmad Chehade +3 more
wiley +1 more source