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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

The complexity of the parity argument with potential

Journal of Computer and System Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 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

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

Effects of the third-order dispersion on continuous waves in complex potentials

European Physical Journal D : Atomic, Molecular and Optical Physics, 2017
A class of constant-amplitude (CA) solutions of the nonlinear Schrödinger equation with the third-order spatial dispersion (TOD) and complex potentials are considered.
B. Liu, Lu Li, B. Malomed
semanticscholar   +1 more source

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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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

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

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
openaire   +1 more source

Resonances for Coulombic potentials by complex scaling and free-reflection complex-absorbing potentials

Physical Review A, 2004
Analytical expressions for the resonances of the long-range potential (LRP), V(r)=a/r-b/r{sup 2}, as a function of the Hamiltonian parameters were derived by Doolen a long time ago [Int. J. Quant. Chem. 14, 523 (1979)]. Here we show that converged numerical results are obtained by applying the shifted complex scaling and the smooth-exterior scaling ...
Shachar Klaiman   +2 more
openaire   +1 more source

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