Concept

Potential theory

Related publications (28)

Harnack inequalities for double phase functionals

We prove a Harnack inequality for minimisers of a class of non-autonomous functionals with non-standard growth conditions. They are characterised by the fact that their energy density switches between two types of different degenerate phases. ...

2015

Calibration of optical tweezers with non-spherical probes via high-resolution detection of Brownian motion

László Forró, Richard Gaal, Flavio Maurizio Mor, Sylvia Jeney

Optical tweezers are commonly used and powerful tools to perform force measurements on the piconewton scale and to detect nanometer-scaled displacements. However, the precision of these instruments relies to a great extent on the accuracy of the calibratio ...

Elsevier Science Bv2015

Improving the accuracy and efficiency of time-resolved electronic spectra calculations: Cellular dephasing representation with a prefactor

Jiri Vanicek, Miroslav Sulc, David Eduardo Zambrano Ramirez

Time-resolved electronic spectra can be obtained as the Fourier transform of a special type of time correlation function known as fidelity amplitude, which, in turn, can be evaluated approximately and efficiently with the dephasing representation. Here we ...

American Institute of Physics2013

Imaginary-time nonuniform mesh method for solving the multidimensional Schroedinger equation: Fermionization and melting of quantum Lennard-Jones crystals

Jiri Vanicek, Alberto Hernando de Castro

An imaginary-time nonuniform mesh method for diagonalizing multidimensional quantum Hamiltonians is proposed and used to find the first 50 eigenstates and energies of up to D=5 strongly interacting spinless quantum Lennard-Jones particles trapped in a one- ...

2013

Relation of exact Gaussian basis methods to the dephasing representation: Theory and application to time-resolved electronic spectra

Jiri Vanicek, Miroslav Sulc

We recently showed that the dephasing representation (DR) provides an efficient tool for computing ultrafast electronic spectra and that further acceleration is possible with cellularization [M. Šulc and J. Vaníček, Mol. Phys. 110, 945 (2012)]. Here, we fo ...

American Institute of Physics2013

Odd linking and bifurcation in gaps: the weakly indefinite case

In this paper, we consider nonlinear Schrodinger equations of the following type: -Delta u(x) + V (x) u(x) -q(x)|u(x)|sigma u(x) =lambda u(x), x is an element of R-N, u is an element of H-1(R-N) \ {0}, where N >= 2 and sigma > 0. We concentrate on situatio ...

Royal Society of Edinburgh Scotland Foundation, Cambridge2013

Developing luminescent Brownian probes for near-field investigations of the intracellular environment

Flavio Maurizio Mor

Life sciences have a constantly growing need for novel methodological approaches suitable to investigate the intracellular environment with increased temporal and spatial resolutions. Recently, optical near-field probes, such as laser-irradiated pointed me ...

EPFL2013

Optimal Control Theory with Applications in Economics

Thomas Alois Weber

This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of ...

MIT Press2011

Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics

Sylvain Bréchet, Christian Gruber

Following the analytic approach to thermodynamics developed by Stuckelberg, we study the evolution equations of a closed thermodynamic system consisting of point particles in a fluid. We obtain a system of coupled differential equations describing the mech ...

MDPI AG2011

State-selective detection of velocity-filtered ND3 molecules

Andreas Osterwalder, Benjamin Bertsche

Translationally cold and slow ND3 is prepared by filtering the slow molecules from a thermal gas-phase sample using a curved electrostatic hexapole guide. This filter, like the curved quadrupole guide introduced by Rangwala et al. Phys. Rev. A 67 043406 (2 ...

2010

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