Results 51 to 60 of about 17,519,874 (311)
Quasi-exactly solvable quasinormal modes [PDF]
, 2007 We consider quasinormal modes with complex energies from the point of view of the theory of quasi-exactly solvable (QES) models. We demonstrate that it is possible to find new potentials which admit exactly solvable or QES quasinormal modes by suitable ...
Arttu Rajantie +5 more
core +2 more sources
Eigenvalue bounds for Schrödinger operators with complex potentials. II [PDF]
, 2015 Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrodinger operator −Δ+Vin L2(Rν) with complex potential has absolute value at most a constant times ∥V∥(γ+ν/2)/γγ+ν/2 for ...
Rupert L. Frank, Barry Simon
semanticscholar +1 more source
Vector solitons in nonparity-time-symmetric complex potentials.
Optics Express, 2018 The existence and stability of vector solitons in non-parity-time (PT)-symmetric complex potentials are investigated. We study the vector soliton family, in which the propagation constants of the two components are different.
Xing Zhu, Yingji He
semanticscholar +1 more source
Micromachines, 2021 Increasingly complex multi-electrode arrays for the study of neurons both in vitro and in vivo have been developed with the aim of tracking the conduction of neural action potentials across a complex interconnected network.
Lionel M. Broche +2 more
doaj +1 more source
Anticancer Potential of Diiron Vinyliminium Complexes [PDF]
Chemistry – A European Journal, 2019 AbstractAlthough ferrocene derivatives have attracted considerable attention as possible anticancer agents, the medicinal potential of diiron complexes has remained largely unexplored. Herein, we describe the straightforward multigram‐scale synthesis and the antiproliferative activity of a series of diiron cyclopentadienyl complexes containing bridging
Rocco D. +13 more
openaire +5 more sources
Parametric symmetries in exactly solvable real and PT symmetric complex potentials [PDF]
, 2015 In this paper, we discuss the parametric symmetries in different exactly solvable systems characterized by real or complex PT symmetric potentials. We focus our attention on the conventional potentials such as the generalized Poschl Teller (GPT), Scarf-I,
R. Yadav +4 more
semanticscholar +1 more source
Multisoliton interactions for the Manakov system under composite external potentials; pp. 368–378 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 The soliton interactions of Manakov soliton trains subjected to composite external potentials are modelled by the perturbed complex Toda chain (PCTC). The model is applied to several classes of potentials, such as: (i) harmonic, (ii) periodic, (iii) â ...
Michail Todorov +2 more
doaj +1 more source
Complex SUSY Transformations and the Painlev\'e IV Equation [PDF]
, 2012 In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials.
Bermúdez, David
core +5 more sources
Symmetry breaking of solitons in two-dimensional complex potentials. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2014 Symmetry breaking is reported for continuous families of solitons in the nonlinear Schrödinger equation with a two-dimensional complex potential. This symmetry breaking is forbidden in generic complex potentials. However, for a special class of partially
Jianke Yang
semanticscholar +1 more source
Pseudo Hermitian interactions in the Dirac Equation
, 2014 We consider $(2+1)$ dimensional massless Dirac equation in the presence of complex vector potentials. It is shown that such vector potentials (leading to complex magnetic fields) can produce bound states and the Dirac Hamiltonians are $\eta$-pseudo ...
Panella, Orlando, Roy, Pinaki
core +2 more sources