Publications related to Particle in a spherically symmetric potential

Large-cage occupation and quantum dynamics of hydrogen molecules in sII clathrate hydrates

Richard Gaal, Livia Eleonora Bove Kado, Umbertoluca Ranieri

Hydrogen clathrate hydrates are ice-like crystalline substances in which hydrogen molecules are trapped inside polyhedral cages formed by the water molecules. Small cages can host only a single H-2 molecule, while each large cage can be occupied by up to f ...

Aip Publishing2024

Twist Accumulation in Conformal Field Theory: A Rigorous Approach to the Lightcone Bootstrap

Jiaxin Qiao

We prove that in any unitary CFT, a twist gap in the spectrum of operator product expansion (OPE) of identical scalar quasiprimary operators (i.e. phi x phi) implies the existence of a family of quasiprimary operators O t,l with spins l ->.infinity and twi ...

SPRINGER2023

The inductive bias of deep learning: Connecting weights and functions

Guillermo Ortiz Jimenez

Years of a fierce competition have naturally selected the fittest deep learning algorithms. Yet, although these models work well in practice, we still lack a proper characterization of why they do so. This poses serious questions about the robustness, trus ...

EPFL2023

Continuous-variable neural network quantum states and the quantum rotor model

Giuseppe Carleo

We initiate the study of neural network quantum state algorithms for analyzing continuous-variable quantum systems in which the quantum degrees of freedom correspond to coordinates on a smooth manifold. A simple family of continuous-variable trial wavefunc ...

SPRINGERNATURE2023

Work fluctuations in the active Ornstein-Uhlenbeck particle model

Francesco Cagnetta

We study the large deviations of the power injected by the active force for an active Ornstein-Uhlenbeck particle (AOUP), free or in a confining potential. For the free-particle case, we compute the rate function analytically in d-dimensions from a saddle- ...

IOP Publishing Ltd2021

Staggered flux state for rectangular-lattice spin-1/2 Heisenberg antiferromagnets

Henrik Moodysson Rønnow, Dmitri Ivanov, Bastien Dalla Piazza, Noore Elahi Shaik

We investigate the spin-1/2 Heisenberg model on a rectangular lattice, using the Gutzwiller projected variational wave function known as the staggered flux state. Using Monte Carlo techniques, the variational parameters and instantaneous spin-spin correlat ...

AMER PHYSICAL SOC2020

From quantum spin chains to square lattice Heisenberg anti-ferromagnets

Noore Elahi Shaik

This thesis presents a theoretical study of the Heisenberg model on a two dimensional lattice with asymmetric couplings along x and y directions. By gradually varying the coupling along y-direction we traverse the 1D, quasi 1D and 2D domains of this model. ...

EPFL2019

Liquid electromigration in gallium-based biphasic thin films

Stéphanie Lacour, Hadrien Olivier Michaud

Liquid metals have recently gained interest as a material of choice for soft and stretchable electronic circuits, thanks to their virtually infinite mechanical failure strain and high electrical conductivity. Gallium-based thin films are obtained by deposi ...

AMER INST PHYSICS2019

Theory and design of spherical oscillator mechanisms

Simon Nessim Henein, Roland Andreas Bitterli, Ilan Vardi, Lennart Rubbert, Mohammad Hussein Kahrobaiyan, Nicolas Ferrier, Billy Nussbaumer

In previous work, we showed that two degree of freedom oscillators can be advantageously applied to horological time bases since they can be used to eliminate the escapement mechanism. We subsequently examined planar two degree of freedom oscillators based ...

Elsevier2018

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Marius Christopher Lemm, Rui Han

We study the one-dimensional discrete Schrödinger operator with the skew-shift potential

2\lambda\cos\left(2\pi \left(\binom{j}{2} \omega+jy+x\right)\right)

. This potential is long conjectured to behave like a random one, i.e., it is expected to produce ...

2018

Particle in a spherically symmetric potential

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Large-cage occupation and quantum dynamics of hydrogen molecules in sII clathrate hydrates

Twist Accumulation in Conformal Field Theory: A Rigorous Approach to the Lightcone Bootstrap

The inductive bias of deep learning: Connecting weights and functions

Continuous-variable neural network quantum states and the quantum rotor model

Work fluctuations in the active Ornstein-Uhlenbeck particle model

Staggered flux state for rectangular-lattice spin-1/2 Heisenberg antiferromagnets

From quantum spin chains to square lattice Heisenberg anti-ferromagnets

Liquid electromigration in gallium-based biphasic thin films

Theory and design of spherical oscillator mechanisms

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Continuous-variable neural network quantum states and the quantum rotor model

Twist Accumulation in Conformal Field Theory: A Rigorous Approach to the Lightcone Bootstrap

Large-cage occupation and quantum dynamics of hydrogen molecules in sII clathrate hydrates

Theory and design of spherical oscillator mechanisms

The inductive bias of deep learning: Connecting weights and functions

Work fluctuations in the active Ornstein-Uhlenbeck particle model

Liquid electromigration in gallium-based biphasic thin films

Staggered flux state for rectangular-lattice spin-1/2 Heisenberg antiferromagnets

From quantum spin chains to square lattice Heisenberg anti-ferromagnets

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle