Publications at the Department of Mathematics and Natural Sciences from 2019

Results: 897
Created on: Fri, 26 Apr 2024 23:12:27 +0200 in 0.0901 sec


Halle, Johannes; Mehler, Alexander; Néel, Nicolas; Kröger, Jörg
Preparation of graphene bilayers on platinum by sequential chemical vapour deposition. - In: Physical chemistry, chemical physics, ISSN 1463-9084, Bd. 21 (2019), 6, S. 3140-3144

https://doi.org/10.1039/C8CP07569G
Zhang, Jingjing; Zhao, Huaping; Li, Jun; Jin, Huile; Yu, Xiaochun; Lei, Yong; Wang, Shun
In situ encapsulation of iron complex nanoparticles into biomass-derived heteroatom-enriched carbon nanotubes for high-performance supercapacitors. - In: Advanced energy materials, ISSN 1614-6840, Bd. 9 (2019), 4, 1803221, insges. 8 S.

https://doi.org/10.1002/aenm.201803221
Kriesell, Matthias; Mohr, Samuel
Rooted complete minors in line graphs with a Kempe coloring. - In: Graphs and combinatorics, ISSN 1435-5914, Bd. 35 (2019), 2, S. 551-557

https://doi.org/10.1007/s00373-019-02012-7
Cao, Yan; Chen, Guantao; Jing, Guangming; Stiebitz, Michael; Toft, Bjarne
Graph edge coloring: a survey. - In: Graphs and combinatorics, ISSN 1435-5914, Bd. 35 (2019), 1, S. 33-66

https://doi.org/10.1007/s00373-018-1986-5
Atmane, Imane; Sobti, Nadjah; Chetibi, Loubna; Dimitrova, Anna; Zerkout, Salah; Achour, Slimane
Defective graphite and its decoration with copper oxide nanoparticles synthesized with olive leaf extract for electrochemical water splitting. - In: Journal of inorganic and organometallic polymers and materials, ISSN 1574-1451, Bd. 29 (2019), 1, S. 132-143

https://doi.org/10.1007/s10904-018-0973-x
Bilobrov, Vladislav; Sokolova, Viktoriya; Prylutska, Svitlana; Panchuk, Rostyslav; Litsis, Olena; Osetskyi, Valeriy; Evstigneev, Maxim; Prylutskyy, Yuriy; Epple, Matthias; Ritter, Uwe; Rohr, Jürgen
A novel nanoconjugate of Landomycin A with C60 fullerene for cancer targeted therapy: in vitro studies. - In: Cellular and molecular bioengineering, ISSN 1865-5033, Bd. 12 (2019), 1, S. 41-51

https://doi.org/10.1007/s12195-018-0548-5
Leben, Florian; Trunk, Carsten
Operator based approach to PT-symmetric problems on a wedge-shaped contour. - Ilmenau : Technische Universität Ilmenau, Institut für Mathematik, 2019. - 1 Online-Ressource (23 Seiten). - (Preprint ; M19,02)

We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma with an eigenvalue parameter \lambda \in C. In PT quantum mechanics z runs through a complex contour \Gamma in C, which is in general not the real line nor a real half-line. Via a parametrization we map the problem back to the real line and obtain two differential equations on [0,\infty) and on (-\infty,0]. They are coupled in zero by boundary conditions and their potentials are not real-valued. The main result is a classification of this problem along the well-known limit-point/ limit-circle scheme for complex potentials introduced by A.R. Sims 60 years ago. Moreover, we associate operators to the two half-line problems and to the full axis problem and study their spectra.



https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200020
Behrndt, Jussi; Schmitz, Philipp; Trunk, Carsten
Spectral bounds for indefinite singular Sturm-Liouville operators with uniformly locally integrable potentials. - Ilmenau : Technische Universität Ilmenau, Institut für Mathematik, 2019. - 1 Online-Ressource (26 Seiten). - (Preprint ; M19,01)

The non-real spectrum of a singular indefinite Sturm-Liouville operator A=1/r (-d/dx p d/dx+q) with a sign changing weight function r consists (under suitable additional assumptions on the real coefficients 1/p,q,r in L^1_loc(R)) of isolated eigenvalues with finite algebraic multiplicity which are symmetric with respect to the real line. In this paper bounds on the absolute values and the imaginary parts of the non-real eigenvalues of A are proved for uniformly locally integrable potentials q and potentials $q in L^s(R) for some s in [1,\infty]. The bounds depend on the negative part of q, on the norm of 1/p and in an implicit way on the sign changes and zeros of the weight function.



https://nbn-resolving.org/urn:nbn:de:gbv:ilm1-2019200016
Steidl, Matthias; Schwarzburg, Klaus; Galiana, Beatriz; Kups, Thomas; Supplie, Oliver; Kleinschmidt, Peter; Lilienkamp, Gerhard; Hannappel, Thomas
MOVPE growth of GaP/GaPN core-shell nanowires: N incorporation, morphology and crystal structure. - In: Nanotechnology, ISSN 1361-6528, Bd. 30 (2019), 10, 104002, S. 1-8

https://doi.org/10.1088/1361-6528/aaf607
Phani Kumar, Bandaru V. N.; Stapf, Siegfried; Mattea, Carlos
Molecular dynamics in the lyophases of copolymer P123 investigated with FFC NMR relaxometry. - In: Langmuir, ISSN 1520-5827, Bd. 35 (2019), 2, S. 435-445

https://doi.org/10.1021/acs.langmuir.8b03057