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By allowing interactions between electrons, a new Harper's equation is derived to examine the effects of electron correlations on the Hofstadter energy spectra. It is shown that the structure of the Hofstadter butterfly ofr the system of…

Condensed Matter · Physics 2009-10-30 Hyeonjin Doh , Seung-Pyo Hong , Sung-Ho Suck Salk

We propose an effective model called the "charge model", for the half-filled one-dimensional Hubbard and extended Hubbard models. In this model, spin-charge separation, which has been justified from an infinite on-site repulsion ($U$) in…

Strongly Correlated Electrons · Physics 2020-01-29 Shu Ohmura , Akira Takahashi , Kaoru Iwano , Tokitake Yamaguchi , Kazuya Shinjo , Takami Tohyama , Shigetoshi Sota , Hiroshi Okamoto

We study one and two point functions of conformal field theories on spaces of maximal symmetry with and without boundaries and investigate their spectral representations. Integral transforms are found, relating the spectral decomposition to…

High Energy Physics - Theory · Physics 2015-09-30 Kurt Hinterbichler , James Stokes , Mark Trodden

The aim of this paper is to offer an original and comprehensive spectral theoretical approach to the study of convergence to equilibrium, and in particular of the hypocoercivity phenomenon, for contraction semigroups in Hilbert spaces. Our…

Probability · Mathematics 2022-03-08 Pierre Patie , Aditya Vaidyanathan

By splitting the Coulomb interaction into long-range and short-range components, we decompose the energy of a quantum electronic system into long-range and short-range contributions. We show that the long-range part of the energy can be…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

N-Point Correlation Functions, usually with N = 2, 3, and their Fourier-space analogs power spectrum and bispectrum, are major tools used in cosmology to capture the clustering of large-scale structure. We outline how the clustering these…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-12 Zachary Slepian , Farshad Kamalinejad , Alessandro Greco

We study the excitation spectrum and the correlation functions of the Z_3- chiral Potts model in the massive high-temperature phase using perturbation expansions and numerical diagonalization. We are mainly interested in results for general…

High Energy Physics - Theory · Physics 2009-10-28 A. Honecker , G. von Gehlen

For Hill's equation on [0,infinity) we prove new characterizations of the spectral function rho(lambda) and the spectral density function f(lambda) based on analysis involving a companion system of first order differential equations in…

Numerical Analysis · Mathematics 2013-03-26 Charles Fulton , David Pearson , Steven Pruess

We have carried out spectroscopic measurements of a system of three strongly coupled four-junction flux qubits. The samples studied cover a wide range of parameters with the coupling energy between neighboring qubits varying between 0.75…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. O. Niskanen , K. Harrabi , F. Yoshihara , Y. Nakamura , J. S. Tsai

We discuss theoretical calculations of electron- and neutrino-nucleus scattering, carried out using realistic nuclear spectral functions and including the effect of final state interactions. Comparison between electron scattering data and…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. Benhar , N. Farina , H. Nakamura , M. Sakuda , R. Seki

The correlation functions for models of minimal gravity are discussed. An algorithm is proposed for calculations of invariant ratios from formulas of residues that can be compared with the coefficients of expansion of the partition function…

High Energy Physics - Theory · Physics 2015-06-11 O. Kruglinskaya

A new approach to the correlation functions is presented for the XXZ model in the anti-ferroelectric regime. The method is based on the recent realization of the quantum affine symmetry using vertex operators. With the aid of a boson…

High Energy Physics - Theory · Physics 2016-09-06 Michio Jimbo , Kei Miki , Tetsuji Miwa , Atsushi Nakayashiki

A substantial fraction of systematic uncertainties in neutrino oscillation experiments stem from the lack of precision in modeling the nuclear target in neutrino-nucleus interactions. Whilst this has driven significant progress in the…

High Energy Physics - Experiment · Physics 2025-01-15 J. Chakrani , S. Dolan , M. Buizza Avanzini , A. Ershova , L. Koch , K. McFarland , G. D. Megias , L. Munteanu , L. Pickering , K. Skwarczynski , V. Q. Nguyen , C. Wret

An overview is given of the theoretical work on nucleon spectral functions in finite nuclei. The consequences of the observed spectral strength distribution are then considered in the context of the nuclear-matter saturation problem.…

Nuclear Theory · Physics 2009-09-25 W. H. Dickhoff , E. P. Roth

We consider interaction of a femtosecond light pulse with a one-dimensional photonic crystal with relaxing cubic nonlinearity in the regime of self-trapping. By use of numerical simulations, it is shown that, under certain conditions, the…

Optics · Physics 2011-12-01 Denis Novitsky

We prove local convergence results for the spectra and pseudospectra of sequences of linear operators acting in different Hilbert spaces and converging in generalised strong resolvent sense to an operator with possibly non-empty essential…

Spectral Theory · Mathematics 2016-05-04 Sabine Bögli

We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the…

Quantum Gases · Physics 2013-06-05 S. Tölle , H. -W. Hammer , B. Ch. Metsch

Several different approximations and techniques have been developed for the calculation of atomic structure, ionization, and excitation of atoms and ions. These techniques have been used to compute large amounts of spectroscopic data of…

Astrophysics · Physics 2007-05-23 Manuel A. Bautista

We investigate ultrafast vibronic dynamics triggered by intense femtosecond infrared pulses in small molecules. Our study is based on numerical simulations performed with 2D model molecules, and analyzed in the perspective of the renown…

Integrands for colour ordered scattering amplitudes in planar N=4 SYM are dual to those of correlation functions of the energy-momentum multiplet of the theory. The construction can relate amplitudes with different numbers of legs. By graph…

High Energy Physics - Theory · Physics 2013-12-05 Raquel G. Ambrosio , Burkhard Eden , Timothy Goddard , Paul Heslop , Charles Taylor
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