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Phase-Equivalent Complex Potentials

Nuclear Physics A, 1996
Potentials providing the same complex phase shifts as a given complex potential but with a shallower real part are constructed with supersymmetric transformations. Successive pairs of transformations eliminate normalizable solutions corresponding to complex eigenvalues of the Schrodinger equation with the full complex potential.
Baye, Daniel Jean   +2 more
openaire   +3 more sources

On Complex Potentials in Micropolar Elasticity

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1971
AbstractThe aim of this paper is to investigate the possibility of the use of the theory of micropolar continua in the analysis of microcracks. As an initial step of the microfracture mechanics, the complex variable technique of the classical theory of elasticity is extended to the micropolar elasticity. The first fundamental problem of Muskhelishvili,
Ariman, T., Zika, M. J.
openaire   +2 more sources

Complex absorbing potentials

Physics Reports, 2004
Abstract We review the construction and use of complex potentials in reactive scattering and other molecular collisions to calculate continuum quantities (such as state-to-state transition probabilities, cumulative reaction probabilities, or resonance characteristics) with finite grid or finite basis methods.
I L Egusquiza, J G Muga
exaly   +2 more sources

On the Complexity of Finding a Potential Community

2017
An independent 2-clique of a graph is a subset of vertices that is an independent set and such that any two vertices inside have a common neighbor outside. In this paper, we study the complexity of finding an independent 2-clique of maximum size in several graph classes and we compare its complexity with the complexity of maximum independent set.
Bazgan, Cristina   +2 more
openaire   +2 more sources

On the adiabatic potential of a complex system

physica status solidi (b), 1968
AbstractThe energy of an electronic state of a complex system, consisting of a number of interacting subsystems, is considered. The interaction of these subsystems is taken as a perturbation and the calculation of the adiabatic potential uses the iterative method of perturbation theory for nonorthogonal functions.
openaire   +1 more source

Complex Yukawa potentials

Annals of Physics, 1962
Abstract An investigation is made of a variant of the Yukawa potential for which the scattering amplitude may have no more analyticity in momentum transfer than the Lehmann ellipse. A representation, the generalization of the Mandelstam representation to this case, is written down, and unitarity used to determine the spectral function.
openaire   +3 more sources

A potential LINC complex

2023
Apicomplexan parasites include some of the most important pathogens, such as Plasmodium spp., the causative agent of malaria, or Toxoplasma gondii, the causative agent of toxoplasmosis. As obligate intracellular parasites, Apicomplexa invade host cells in an active process, where they replicate within a parasitophorous vacuole, followed by egress and ...
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Use of negative complex potential as absorbing potential

The Journal of Chemical Physics, 1998
Exact numerical calculation shows that the use of negative complex potential (NCP) significantly improves the efficiency of wavefunction absorption over that of negative imaginary potential (NIP) in scattering applications. The improvement in absorption is especially significant in the case of low energy scattering with de Broglie wavelength larger ...
Jiu-Yuan Ge, John Z. H. Zhang
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Orbital complexity in a time‐dependent potential

Astronomische Nachrichten, 2008
AbstractWe introduce a method to detect irregular or chaotic orbits in gravitational potentials based on a wavelet transform of stellar orbits. The method is based on a treatment of normalised frequency power‐spectrum coefficients, which we interpret as occupation probabilities (or, weights) of individual frequency modes.
Boily, C. M., Detemple, L., Faber, N. T.
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Understanding complex perturbative effective potentials

Physical Review D, 1987
We examine the situation where the perturbatively calculated effective potential develops an imaginary part. We show that his imaginary part has a natural interpretation as a decay rate per unit volume of a well-defined state and that it agrees quantitatively with an independent calculation of this rate.
, Weinberg, , Wu
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