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The equation of state of liquid metallic hydrogen is solved numerically. Investigations are carried out at temperatures, which correspond both to the experimental conditions under which metallic hydrogen is produced on earth and the…

Chemical Physics · Physics 2016-02-25 V. T. Shvets

Wave functions and electron potentials of laterally-confined surface states are determined experimentally by means of photoemission from stepped Au(111) surfaces. Using an iterative formalism borrowed from x-ray diffraction, we retrieve the…

Materials Science · Physics 2012-11-13 A. Mugarza , J. E. Ortega , F. J. Himpsel , F. J. Garcia de Abajo

We study the properties of an electromagnetically interacting medium in the presence of high concentration of electrons at extremely high temperatures and chemical potentials. We show that the electromagnetic properties of a medium such as…

High Energy Physics - Phenomenology · Physics 2016-11-14 Samina Masood

A theoretical scheme for the analysis of experimental data on IR spectroscopy for a quantum particle in a double well potential (DWP) is suggested. The analysis is based on the trigonometric DWP for which the exact analytic solution of the…

Chemical Physics · Physics 2019-06-06 A. E. Sitnitsky

To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a polynomial of the fourth degree may not be sufficient. The…

Materials Science · Physics 2025-01-20 P. O. Mchedlov-Petrosyan , L. N. Davydov , O. A. Osmaev

Intrinsic discrete nature in thermodynamic properties of Fermi gases appears under strongly confined and degenerate conditions. For a rectangular confinement domain, thermodynamic properties of an ideal Fermi gas are expressed in their…

Quantum Gases · Physics 2016-02-24 Alhun Aydin , Altug Sisman

We obtain an exact solution of the time-dependent Schroedinger equation for a two-electron system confined to a plane by an isotropic parabolic potential whose curvature is periodically modulated in time. From this solution we compute the…

Condensed Matter · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

In this paper, the conformable Schrodinger equation for hydrogen atom with given conformable potential is solved. The conformable wave functions and energy levels are obtained, and the traditional energy levels and wave function for…

Quantum Physics · Physics 2024-01-10 Mohamed. Al-Masaeed , Eqab. M. Rabei , Ahmed Al-Jamel

We investigate thermodynamical properties of quantum electrodynamics in 1+1 dimensions. Discrete light cone quantization is used to compute the partition function of the canonical ensemble and the thermodynamical potential. The potential is…

Nuclear Theory · Physics 2009-02-19 S. Strauss , M. Beyer

The N-dimensional radial Schr\"odinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been…

High Energy Physics - Phenomenology · Physics 2018-01-23 M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

The various thermodynamic functions dependence on degree of energy band occupation and temperature was studied. The one-band tight binding approximation for the electron energy spectrum was used. The Fermi energy, density of states,…

Statistical Mechanics · Physics 2010-10-11 B. V. Karpenko , A. V. Kuznetzov , V. V. Dyakin

The problem of a particle localized in a ultra-short potential in one dimension is considered. By proposing a general solution to Schrodinger;s equation we show that the energy spectra and the probability of the particle have definite…

Quantum Physics · Physics 2015-03-04 Gabriel Gonzalez

We have implemented a three-dimensional finite element approach, based on tricubic polynomials in spherical coordinates, which solves the Schrodinger equation for scattering of a low energy electron from a molecule, approximating the…

Chemical Physics · Physics 2009-11-10 Stefano Tonzani , Chris H. Greene

We obtain the exact solution to the Dirac equation with the Poschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number K. The relativistic scattering amplitude for spin 1/2 particles in the field of this…

Quantum Physics · Physics 2020-09-08 Mahdi Eshghi , Sasan Soudi , Sameer M. Ikhdair

In this paper, we study the finite temperature-dependent Schr\"{o}dinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potential as the potential part of the radial…

High Energy Physics - Phenomenology · Physics 2021-05-25 A. I. Ahmadov , K. H. Abasova , M. Sh. Orucova

Novel intrinsic two-dimensional materials have attracted many researchers' attention. The unusual transport and optical properties of these materials originate mainly from triangular lattices (TLs). Therefore, the application of energy…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 David M T Kuo

The electronic conductance of a molecule making contact to electrodes is determined by the coupling of discrete molecular states to the continuum electrode density of states. Interactions between bound states and continua can be modeled…

Other Condensed Matter · Physics 2007-05-23 Thomas M. Henderson , Giorgos Fagas , Eoin Hyde , James C. Greer

In this work, we apply the parametric Nikiforov-Uvarov method to obtain eigen solutions and total normalized wave function of Schr\"odinger equation express in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic…

The exact analytical solution of the Schr\"odinger equation for a generalized symmetrical Woods-Saxon potential are examined for a nucleon in Fluorine 17 nucleus for bound and quasi-bound states in one dimension. The wave functions imply…

Nuclear Theory · Physics 2016-12-02 B. C. Lütfüoğlu , M. Erdogan

The rates at which energy and particle densities move to equalize arbitrarily large temperature and chemical potential differences in an isolated quantum system have an emergent thermodynamical description whenever energy or particle…

Strongly Correlated Electrons · Physics 2015-12-31 Romain Vasseur , Christoph Karrasch , Joel E. Moore