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Mechanically Programmable DNA Hydrogel Microparticles for 3D Cellular Systems
DNA hydrogel microparticles are designed to exhibit controllable viscoelasticity and stiffness across three orders of magnitude from 30Pa$30 \,\mathrm{Pa}$ to 6.5kPa$6.5 \,\mathrm{kPa}$. They are uptaken into fibroblast spheroids where they are actively remodeled by cellular forces depending on their mechanical properties.
Tobias Walther +9 more
wiley +1 more source
Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials
A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella +3 more
wiley +1 more source
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A note on perturbation-adapted perturbation theory
The Journal of Chemical Physics, 2022The partitioning introduced recently by Knowles [J. Chem. Phys. 156, 011101 (2022)] is analyzed and its connections with the Adams partitioning and the Davidson–Kapuy partitioning are discussed. Davidson’s partitioning is reformulated using the second quantized formalism.
Péter R. Surján +2 more
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The Journal of Chemical Physics, 2015
Despite the fundamental importance of electron density in density functional theory, perturbations are still usually dealt with using Hartree-Fock-like orbital equations known as coupled-perturbed Kohn-Sham (CPKS). As an alternative, we develop a perturbation theory that solves for the perturbed density directly, removing the need for CPKS.
Mark C. Palenik, Brett I. Dunlap
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Despite the fundamental importance of electron density in density functional theory, perturbations are still usually dealt with using Hartree-Fock-like orbital equations known as coupled-perturbed Kohn-Sham (CPKS). As an alternative, we develop a perturbation theory that solves for the perturbed density directly, removing the need for CPKS.
Mark C. Palenik, Brett I. Dunlap
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On the status of perturbation theory
Mathematical Structures in Computer Science, 2007Perturbation theory has always been an important component of the natural sciences. From celestial mechanics to the quantum theory of fields, it has always played a central role, which this little note sets out to analyse briefly. We will show, in particular, how its epistemological position has changed from being just a ‘tool’ to being the basis of ...
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American Journal of Physics, 1954
Perturbation theory is derived in such a way that the wave function renormalization terms appear automatically. The derivation is based on the Feynman theorem for the rate of change of an eigenvalue with respect to a parameter, and a corresponding theorem for the rate of change of an eigenfunction.
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Perturbation theory is derived in such a way that the wave function renormalization terms appear automatically. The derivation is based on the Feynman theorem for the rate of change of an eigenvalue with respect to a parameter, and a corresponding theorem for the rate of change of an eigenfunction.
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Perturbation theory of antiferromagnetism
Physica, 1960Abstract An expansion in terms of connected diagrams is derived for the partition function of an antiferromagnetic spin system with isotropic exchange Hamiltonian. It is shown that the series can be obtained as a perturbation over the Neel theory.
Mills, R. L., Kenan, R. P., Korringa, J.
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Perturbation theory for odd perturbations
Journal of Physics A: General Physics, 1972The eigenvalues of perturbed Schrodinger equation with an odd perturbation are even functions of the perturbation parameter lambda . It is shown how to transform the perturbed equation so that the new perturbation is also explicitly an even function of lambda .
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The Development of Perturbation Theory at GALCIT
SIAM Review, 1994After a short historical survey of the foundation of the California Institute of Technology (Caltech), the author analyzes the major studies published, starting with 1948. Consequently, the initiative of Paco Lagerstrom (to whom the presentation is actually dedicated), of a systematic study of the laminar solutions of the Navier-Stokes equations ...
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1995
Abstract In this chapter we present the basic results concerning behaviour of hermitian solutions of algebraic Riccati equations under perturbations, or changes, of the coefficient matrices of the CARE (10.1.1). In the first section we consider the problem of existence of hermitian solutions, while in the later sections the focus is ...
Peter Lancaster, Leiba Rodman
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Abstract In this chapter we present the basic results concerning behaviour of hermitian solutions of algebraic Riccati equations under perturbations, or changes, of the coefficient matrices of the CARE (10.1.1). In the first section we consider the problem of existence of hermitian solutions, while in the later sections the focus is ...
Peter Lancaster, Leiba Rodman
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