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The oscillator representation method is presented and used to calculate the energy spectra for a superposition of Coulomb and power-law potentials and for Coulomb and Yukawa potentials. The method provides an efficient way to obtain…

Quantum Physics · Physics 2007-05-23 M. Dineykhan , R. G. Nazmitdinov

Stellar spectral interpolation is critical technique employed by fitting software to derive the physical parameters of stars. This approach is necessary because on-the-go generation of synthetic stellar spectra is not possible due to the…

Solar and Stellar Astrophysics · Physics 2025-04-30 Nitesh Kumar , Philippe Prugniel , Harinder P. Singh

Data sites selected from modeling high-dimensional problems often appear scattered in non-paternalistic ways. Except for sporadic clustering at some spots, they become relatively far apart as the dimension of the ambient space grows. These…

Numerical Analysis · Mathematics 2021-09-28 Shao-Bo Lin , Xiangyu Chang , Xingping Sun

We calculate the spectral functions of model systems describing 5f-compounds adopting Cluster Perturbation Theory. The method allows for an accurate treatment of the short-range correlations. The calculated excitation spectra exhibit…

Strongly Correlated Electrons · Physics 2007-05-23 F. Pollmann , G. Zwicknagl

We consider massive \lambda\phi^4 theory in de Sitter background. The mass of the scalar field \phi is chosen small enough, such that the amplification of superhorizon momentum modes leads to a significant enhancement of infrared…

High Energy Physics - Theory · Physics 2014-03-12 Bjorn Garbrecht , Gerasimos Rigopoulos , Yi Zhu

We demonstrate how to derive the exponential decrease of amplitude and an excellent approximation of the energy decay of a weakly damped harmonic oscillator without solving the associated equation of motion and without insight into the…

Classical Physics · Physics 2024-11-22 Karlo Lelas , Robert Pezer

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , Chad Hanna , Drew Keppel

Vibrational spectroscopy is a key technique to elucidate microscopic structure and dynamics. Without the aid of theoretical approaches, it is however, often difficult to understand such spectra at a microscopic level. Ab initio molecular…

Chemical Physics · Physics 2023-03-14 Philipp Schienbein

We investigate the impact of instrumental systematic errors in interferometric measurements of the cosmic microwave background (CMB) temperature and polarization power spectra. We simulate interferometric CMB observations to generate mock…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-06 Le Zhang , Ata Karakci , Paul M. Sutter , Emory F. Bunn , Andrei Korotkov , Peter Timbie , Gregory S. Tucker , Benjamin D. Wandelt

We present a procedure to solve the inverse Ising problem, that is to find the interactions between a set of binary variables from the measure of their equilibrium correlations. The method consists in constructing and selecting specific…

Disordered Systems and Neural Networks · Physics 2015-05-30 Simona Cocco , Rémi Monasson

We describe a method for the calculation of accurate energy eigenvalues and expectation values of observables of separable quantum-mechanical models. We discuss the application of the approach to one-dimensional anharmonic oscillators with…

Mathematical Physics · Physics 2008-07-09 Francisco M. Fernandez

The calculation of potential energy surfaces for quantum dynamics can be a time consuming task -- especially when a high level of theory for the electronic structure calculation is required. We propose an adaptive interpolation algorithm…

Chemical Physics · Physics 2016-08-24 Markus Kowalewski , Elisabeth Larsson , Alfa Heryudono

A recently modified method to enable low-energy nuclear scattering results to be extracted from the discrete energy levels of the target-projectile clusters confined by harmonic potential traps is tested. We report encouraging results for…

Nuclear Theory · Physics 2020-09-30 Xilin Zhang , S. R. Stroberg , P. Navrátil , Chan Gwak , J. A. Melendez , R. J. Furnstahl , J. D. Holt

Three different cluster expansions for the evaluation of correlated one-body properties of s-p and s-d shell nuclei are compared. Harmonic oscillator wave functions and Jastrow type correlations are used, while analytical expressions are…

Nuclear Theory · Physics 2009-11-06 Ch. C. Moustakidis , S. E. Massen , C. P. Panos , M. E. Grypeos , A. N. Antonov

Using the measured fragmentation cross sections produced from the 48Ca and 64Ni beams at 140 MeV per nucleon on 9Be and 181Ta targets, we find that the cross sections of unmeasured neutron rich nuclei can be extrapolated using a systematic…

We show how to control spatial quantum correlations in a multimode degenerate optical parametric oscillator type I below threshold by introducing a spatially inhomogeneous medium, such as a photonic crystal, in the plane perpendicular to…

Quantum Physics · Physics 2013-12-06 M. A. Garcia-March , M. M. De Castro , R. Zambrini

An exact non-perturbative calculation of the fourth-order anomalous correction to the scaling behaviour of a random shell-model for passive scalars is presented. Importance of ultraviolet (UV) and infrared (IR) boundary conditions on the…

chao-dyn · Physics 2009-10-30 R. Benzi , L. Biferale , A. Wirth

Coupled quantum harmonic oscillators, studied by many authors using many different techniques over the decades, are frequently used toy-models to study open quantum systems. In this manuscript, we explicitly study the simplest oscillator…

Quantum Physics · Physics 2014-02-06 Yingkai Ouyang , Wee Hao Ng

In the electric dipole approximation the model of a charged harmonic oscillator interacting with the radiation field becomes quadratic and soluble, but it needs a UV cutoff for the photon frequency. The model's renormalizability is only…

Quantum Physics · Physics 2023-05-03 Hidenori Sonoda

A statistical model for the polarization of pulsar radio emission is enhanced to account for the heavy modulation of the emission, the possible covariance of the Stokes parameters, and the observed asymmetries in the distributions of total…

High Energy Astrophysical Phenomena · Physics 2022-10-12 M. M. McKinnon
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