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Recently, an entropic uncertainty relation for multiple measurements has been proposed by Liu et al. in [Phys. Rev. A 91, 042133 (2015)]. However, the lower bound of the relation is not always tight with respect to different measurements.…

Quantum Physics · Physics 2021-12-22 Bo-Fu Xie , Fei Ming , Dong Wang , Liu Ye , Jing-Ling Chen

Smooth model potentials with parameters selected to reproduce the spectrum of one-electron atoms are used to approximate the singular Coulomb potential. Even when the potentials do not mimic the Coulomb singularity, much of the spectrum is…

Chemical Physics · Physics 2016-10-28 Cristina E. González-Espinoza , Paul. W Ayers , Jacek Karwowski , Andreas Savin

Despite many tests, even the Minimal Manifest Left-Right Symmetric Model (MLRSM) has never been ultimately confirmed or falsified. LHC gives a new possibility to test directly the most conservative version of left-right symmetric models at…

High Energy Physics - Phenomenology · Physics 2015-06-04 J. Chakrabortty , J. Gluza , R. Sevillano , R. Szafron

We pursue a program to confront observations with inhomogeneous extensions of the FLRW metric. The main idea is to test the Copernican principle rather than assuming it a priori. We consider the $\Lambda$CDM model endowed with a spherical…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-23 David Camarena , Valerio Marra , Ziad Sakr , Chris Clarkson

We present a nonlinear (in the sense of McKean) generalization of Hamiltonian Monte Carlo (HMC) termed nonlinear HMC (nHMC) capable of sampling from nonlinear probability measures of mean-field type. When the underlying confinement…

Probability · Mathematics 2023-09-22 Nawaf Bou-Rabee , Katharina Schuh

Energy bounds which are uniform in the background metric are obtained from upper bounds for entropy-like quantities. The argument is based on auxiliary Monge-Amp\`ere equations involving sublevel sets, and bypasses the…

Differential Geometry · Mathematics 2022-07-20 Bin Guo , Duong H. Phong

The parameters of the supersymmetry Lagrangian are the place where experiment and theory will meet. We show that measuring them is harder than has been thought, particularly because of large unavoidable dependences on phases. Measurements…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michal Brhlik , G. L. Kane

We review the essentials of the formalism of quantum mechanics based on a deformed Heisenbeg algebra, leading to the existence of a minimal length scale. We compute in this context, the energy spectra of the pseudoharmonic oscillator and…

Quantum Physics · Physics 2017-11-15 Djamil Bouaziz

In this paper we propose a particular description of meson spectroscopy, with emphasis in heavy bound states like charmonia and bottomonia, after working on the main aspects of the construction of an effective potential model. We use the…

High Energy Physics - Phenomenology · Physics 2010-12-09 Alex E. Bernardini , C. Dobrigikeit

We derive an observational constraint on a spherical inhomogeneity of the void centered at our position from the angular power spectrum of the cosmic microwave background(CMB) and local measurements of the Hubble parameter. The late time…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 Masato Tokutake , Kiyotomo Ichiki , Chul-Moon Yoo

We investigate local and global properties of the one-dimensional Bose-Hubbard model with an external confining potential, describing an atomic condensate in an optical lattice. Using quantum Monte Carlo techniques we demonstrate that a…

Statistical Mechanics · Physics 2009-11-10 Sara Bergkvist , Patrik Henelius , Anders Rosengren

Classical atomistic simulations based on interatomic potentials resolve lattice instabilities, defect nucleation, and microstructure evolution with high fidelity, but their accessible system sizes remain far below those required for…

Numerical Analysis · Mathematics 2026-05-26 Aagashram Neelakandan , Karsten Albe , Bernhard Eidel

By using stochastic ensembles of walkers in physical and in one-body Hilbert spaces the recently proposed time-dependent quantum Monte Carlo (TDQMC) method offers the unique capability to calculate one-body density matrices at fully…

Quantum Physics · Physics 2025-02-07 Ivan P. Christov

We study a geometric variational problem arising from modeling two-dimensional charged drops of a perfectly conducting liquid in the presence of an external potential. We characterize the semicontinuous envelope of the energy in terms of a…

Analysis of PDEs · Mathematics 2022-08-02 Cyrill B. Muratov , Matteo Novaga , Berardo Ruffini

If the color Coulomb potential is confining, then the Coulomb field energy of an isolated color charge is infinite on an infinite lattice, even if the usual UV divergence is lattice regulated. A simple criterion for Coulomb confinement is…

High Energy Physics - Lattice · Physics 2013-05-29 J. Greensite

We propose a new approach to calculate perturbatively the effects of a particular deformed Heisenberg algebra on energy spectrum. We use this method to calculate the harmonic oscillator spectrum and find that corrections are in agreement…

Quantum Physics · Physics 2008-11-26 F. Brau

In these Lectures I review possible constraints on particle physics models, obtained by means of combining the results of collider measurements with astrophysical data. I emphasize the theoretical-model dependence of these results. I…

High Energy Physics - Phenomenology · Physics 2017-08-23 Nikolaos E. Mavromatos

The spectral characterization of Coulomb systems confined by the homogeneous pseudo-Gaussian oscillator is investigated. This is made using the efficient computational method of generating functional. Also, the method is used for the…

Quantum Physics · Physics 2014-10-08 Felix Iacob

Starting with the two-loop effective potential of the MSSM, and assuming a supersymmetric scale well above $M_Z$, we derive a simple analytical approximation for the lightest CP-even Higgs boson mass including resummation of higher order…

High Energy Physics - Phenomenology · Physics 2015-06-25 Jose Ramon Espinosa , Ren-Jie Zhang

In this work, we present analytical solutions of Schr\"odinger equation for Coulomb potential in presence of a Dunkl reflection operator. Expressions are offered for eigenvalues, eigenfunctions and radial densities for H-isoelectronic…

Quantum Physics · Physics 2026-01-13 Akash Halder , Amlan K. Roy , Debraj Nath