Results 31 to 40 of about 19,967,816 (378)
A New Approach to Non-Singular Plane Cracks Theory in Gradient Elasticity
Mathematical and Computational Applications, 2019 A non-local solution is obtained here in the theory of cracks, which depends on the scale parameter in the non-local theory of elasticity. The gradient solution is constructed as a regular solution of the inhomogeneous Helmholtz equation, where the ...
Sergey A. Lurie +2 more
doaj +1 more source
Superintegrable Systems in Darboux spaces [PDF]
, 2003 Almost all research on superintegrable potentials concerns spaces of constant curvature. In this paper we find by exhaustive calculation, all superintegrable potentials in the four Darboux spaces of revolution that have at least two integrals of motion ...
Kalnins, E. G. +3 more
core +5 more sources
Revisiting the Reflected Caustics Method: the Accurate Shape of the “Initial Curve”
Engineering Transactions, 2013 The shape of the “initial curve”, i.e. the locus of material points, which if properly illuminated provide (under specific conditions) the “caustic curve”, is explored.
Christos F. MARKIDES +1 more
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Late ventricular potentials in risk assessment of the occurrence of complex ventricular arrhythmia in patients with myocardial infarction and heart failure [PDF]
Vojnosanitetski Pregled, 2004 Aim. To determine the prognostic significance of late ventricular potentials on signal-averaged electrocardiogram and left ventricular ejection fraction for the occurrence of complex ventricular arrhythmia in patients treated with accelerated tissue-type
Ćosić Zoran +3 more
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Analytically Solvable PT-Invariant Periodic Potentials [PDF]
, 2004 Associated Lam\'e potentials $V(x)=a(a+1)m\sn^2(x,m)+b(b+1)m{\cn^2 (x,m)}/{\dn^2(x,m)}$ are used to construct complex, PT-invariant, periodic potentials using the anti-isospectral transformation $x \to ix+\beta$, where $\beta$ is any nonzero real number.
Abramowitz +36 more
core +3 more sources
Jamming anomaly in -symmetric systems
New Journal of Physics, 2016 The Schrödinger equation with a ${ \mathcal P }{ \mathcal T }$ -symmetric potential is used to model an optical structure consisting of an element with gain coupled to an element with loss. At low gain–loss amplitudes γ , raising the amplitude results in
I V Barashenkov +2 more
doaj +1 more source
Trace formulas for Schrödinger operators with complex potentials on a half line [PDF]
Letters in Mathematical Physics, 2018 We consider Schrödinger operators with complex-valued decaying potentials on the half line. Such operator has essential spectrum on the half line plus eigenvalues (counted with algebraic multiplicity) in the complex plane without the positive half line ...
E. Korotyaev
semanticscholar +1 more source
Stresses and Displacements in an Elliptically Perforated Circular Disc Under Radial Pressure
Engineering Transactions, 2014 The complex potentials governing the elastic equilibrium of a finite circular disc, elliptically perforated at its center, are obtained using Muskhelishvili’s formulation.
Christos F. MARKIDES +1 more
doaj +1 more source
Complex Tasks: Potentials and Pitfalls
Mathematics, 2020 Life in today’s world is characterized by complexity and rapid change. Twenty-first century skills and especially mathematical understanding are supposed to crucially contribute to meeting the demands of our world since mathematics offers strategies to ...
Nina Bohlmann, Ralf Benölken
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Conditions for complex spectra in a class of PT symmetric potentials [PDF]
, 2001 We study a wide class of solvable PT symmetric potentials in order to identify conditions under which these potentials have regular solutions with complex energy. Besides confirming previous findings for two potentials, most of our results are new.
Gendenshtein L. E. +2 more
core +2 more sources