Characterization of Darboux transformations for quantum systems with quadratically energy-dependent potentials

2021 ◽  
Vol 62 (8) ◽  
pp. 083504
Author(s):  
Axel Schulze-Halberg
Keyword(s):  
Quantum Systems ◽  
Darboux Transformations ◽  
Energy Dependent

In-Situ Characterization of Growth and Intermixing at a Heteroepitaxial Interface: Fe on Au(001)

1993 ◽  
Vol 318 ◽  
Author(s):  
Q. Jiang ◽  
A. Chan ◽  
Y.-L. He ◽  
G.-C. Wang
Keyword(s):  
Elevated Temperatures ◽  
Chemical Elements ◽  
Background Intensity ◽  
In Situ Characterization ◽  
Initial Stage ◽  
Monolayer Growth ◽  
Low Energy Electron ◽  
Energy Dependent

ABSTRACTThe growth and chemical intermixing of submonolayer and a few monolayer thick Fe films on a Au(001) surface was studied by High Resolution Low Energy Electron Diffraction (HRLEED) technique. Through the analysis of the energy dependent angular profiles as a function of time, we obtained the distribution of islands and distribution of spacings during submonolayer growth. The interference of electron waves from different chemical elements in terraces at different heights in the surface contributes to the background intensity and broadening in the angular profiles of diffraction beams. A subsurface Fe capped by Au islands as a result of atomic place exchange was observed at the initial stage of monolayer growth. From the energy dependent angular profiles as a function of temperature, we determine the quantitative change of inhomogeneity length (∼20 Å) at the interface of ultrathin films at elevated temperatures due to intermixing.

Separability criteria based on the Bloch representation of density matrices

2007 ◽  
Vol 7 (7) ◽  
pp. 624-638
Author(s):  
J. de Vicente
Keyword(s):  
Sufficient Conditions ◽  
Quantum Systems ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
Pure Product ◽  
Separability Problem ◽  
Arbitrary Dimensions ◽  
Necessary And Sufficient ◽  
Bloch Representation

We study the separability of bipartite quantum systems in arbitrary dimensions using the Bloch representation of their density matrix. This approach enables us to find an alternative characterization of the separability problem, from which we derive a necessary condition and sufficient conditions for separability. For a certain class of states the necessary condition and a sufficient condition turn out to be equivalent, therefore yielding a necessary and sufficient condition. The proofs of the sufficient conditions are constructive, thus providing decompositions in pure product states for the states that satisfy them. We provide examples that show the ability of these conditions to detect entanglement. In particular, the necessary condition is proved to be strong enough to detect bound entangled states.

Characterization of the Uptake and Intracellular Trafficking of G4 Polyamidoamine Dendrimers

2011 ◽  
Vol 64 (3) ◽  
pp. 302
Author(s):  
Chin-Ling Pai ◽  
Ming-Jium Shieh ◽  
Pei-Jen Lou ◽  
Fei-Hong Huang ◽  
Tzu-Wen Wang ◽  
...  
Keyword(s):  
Intracellular Trafficking ◽  
Fluorescein Isothiocyanate ◽  
Pamam Dendrimers ◽  
Endocytic Pathway ◽  
Lysosomal Ph ◽  
Cellular Environment ◽  
Polyamidoamine Dendrimers ◽  
Energy Dependent ◽  
Endocytic Pathways

Polyamidoamine (PAMAM) dendrimers are highly branched spherical polymers that have emerged as potent synthetic drug and gene carriers; however, much remains to be learned about the mechanism of dendrimer-mediated cellular uptake. In this study, the endocytic pathway and intracellular trafficking of generation 4 (G4) PAMAM dendrimers were evaluated via fluorescein isothiocyanate (FITC) conjugation. We found that the G4-FITC dendrimers were internalized by energy-dependent and non-specific endocytic pathways. Interesting, G4-FITC dendrimers can not only buffer the endosomal/lysosomal pH but also co-localize with lysosomal markers over a period of 3 to 12 h, after which the signal decreased in the lysosomes and began to co-localize with the mitochondrial marker. This study contributes to the understanding of the molecular behaviour of G4 PAMAM dendrimers in a cellular environment and will facilitate the development of more effective PAMAM-mediated drug and gene delivery systems.

scholarly journals Theoretical Characterization of Transition State Dynamical Resonances in Heavy–Light–Heavy Reactions

1991 ◽  
Vol 11 (3-4) ◽  
pp. 291-302
Author(s):  
A. Aguilar ◽  
M. Albertí ◽  
R. Blasco ◽  
M. Gilibert ◽  
X. Giménez ◽  
...  
Keyword(s):  
Transition State ◽  
Cross Sections ◽  
Energy Surface ◽  
Three Dimensional ◽  
Direct Consequence ◽  
Resonant Peak ◽  
S Matrix ◽  
Energy Dependent ◽  
Argand Plot

The resonant reactivity of three elementary Heavy–Light–Heavy reactions is presented and discussed. Collinear reactivity, in which a vibrational adiabatic model is constructed, is used for a detailed analysis of resonance phenomena, which appear as a direct consequence of transition state metastable states in the strong interaction region of the potential energy surface. Their influence on the detailed mechanism of the elementary process is also discussed. The shape of the resonant peak, and the phase and the Argand plot of the S-matrix are used for a further characterization.Three-dimensional approximate calculations are used to test the evolution of the energy dependent structure present in detailed quantities when sums and integrations over all partial waves contributing to reaction are taken into account to obtain the usual averaged global quantities such as integral state-to-state cross sections.

Characterization of the energy-dependent calcium binding of a mitochondrial fraction isolated from bovine intrapulmonary vein

1979 ◽  
Vol 57 (10) ◽  
pp. 1107-1113 ◽  
Author(s):  
Dennis B. McNamara ◽  
Marie-Jeanne Roulet ◽  
Albert L. Hyman ◽  
Philip J. Kadowitz
Keyword(s):  
Calcium Binding ◽  
Succinic Dehydrogenase ◽  
Mitochondrial Fraction ◽  
Time Interval ◽  
Marker Enzyme ◽  
Mitochondrial Marker ◽  
Fold Enrichment ◽  
Subcellular Organelle ◽  
Energy Dependent

A mitochondrial-enriched fraction was isolated from bovine intrapulmonary vein; this fraction had a three- to four-fold enrichment factor for succinic dehydrogenase, a mitochondrial marker enzyme, and bound calcium in an azide-sensitive, energy-dependent fashion using either ATP or succinate as substrate. The calcium binding was sensitive to the concentrations of H+, ATP, Ca2+, and mitochondrial fraction. Binding and accumulation were time dependent, reaching at 10–12 min a plateau which was maintained over the time interval studied, i.e. 18 min. At the plateau, maximal binding was 221 ± 8.64 and maximal accumulation was 285 ± 20.2 nmol Ca2+/mg protein. The mitochondrial-enriched fraction contained an azide-sensitive, Mg2+-dependent, Ca2+-stimulated ATPase (Mg2+ + Ca2+ = 25.59 ± 1.03, Ca2+ = 3.96 ± 1.06 μmol P1/mg protein per hour). This study is the first to report the isolation from intrapulmonary vein of a subcellular organelle capable of binding calcium in an energy-dependent fashion; furthermore, it confirms and extends the observations of others that mitochondria may contribute to intracellular calcium homeostasis in vascular smooth muscle.

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