scholarly journals NEW DNLS EQUATIONS FOR ANHARMONIC VIBRATIONAL IMPURITIES

2003 ◽  
Vol 17 (03) ◽  
pp. 111-119 ◽  
Author(s):  
M. I. MOLINA
Keyword(s):  
Local Oscillator ◽  
Bound State ◽  
Oscillator Potential ◽  
Strongly Coupled

We examine some new DNLS-like equations that arise when considering strongly-coupled electron-vibration systems, where the local oscillator potential is anharmonic. In particular, we focus on a single, rather general nonlinear vibrational impurity and determine its bound state(s) and its dynamical selftrapping properties.

scholarly journals Review of strongly-coupled composite dark matter models and lattice simulations

2016 ◽  
Vol 31 (22) ◽  
pp. 1643004 ◽  
Author(s):  
Graham D. Kribs ◽  
Ethan T. Neil
Keyword(s):  
Dark Matter ◽  
Gauge Theory ◽  
Direct Detection ◽  
Bound State ◽  
New Physics ◽  
Abelian Gauge ◽  
Strongly Coupled ◽  
Abelian Gauge Theory ◽  
Lattice Calculations ◽  
Composite Description

We review models of new physics in which dark matter arises as a composite bound state from a confining strongly-coupled non-Abelian gauge theory. We discuss several qualitatively distinct classes of composite candidates, including dark mesons, dark baryons, and dark glueballs. We highlight some of the promising strategies for direct detection, especially through dark moments, using the symmetries and properties of the composite description to identify the operators that dominate the interactions of dark matter with matter, as well as dark matter self-interactions. We briefly discuss the implications of these theories at colliders, especially the (potentially novel) phenomenology of dark mesons in various regimes of the models. Throughout the review, we highlight the use of lattice calculations in the study of these strongly-coupled theories, to obtain precise quantitative predictions and new insights into the dynamics.

Variational calculation of the bound-state wavefunction in strongly coupled QED

1986 ◽  
Vol 176 (1-2) ◽  
pp. 195-198 ◽  
Author(s):  
Roman Koniuk ◽  
Jurij W. Darewych
Keyword(s):  
Bound State ◽  
Variational Calculation ◽  
Strongly Coupled

Bound State Wavefunctions in Strongly Coupled QED

1988 ◽  
pp. 188-192
Author(s):  
W. Dykshoorn ◽  
R. Koniuk ◽  
J. W. Darewych
Keyword(s):  
Bound State ◽  
Strongly Coupled ◽  
State Wavefunctions

scholarly journals Relativistic Treatment of Quantum Mechanical Gravitational-Harmonic Oscillator Potential

2021 ◽  
Vol 3 (3) ◽  
pp. 42-47
Author(s):  
E. P. Inyang ◽  
B. I. Ita ◽  
E. P. Inyang
Keyword(s):  
Harmonic Oscillator ◽  
Laguerre Polynomials ◽  
Bound State ◽  
Quantum Mechanical ◽  
S Wave ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Uvarov Method ◽  
Equal Scalar

The solutions of the Klein- Gordon equation for the quantum mechanical gravitational plus harmonic oscillator potential with equal scalar and vector potential have been presented using the parametric Nikiforov-Uvarov method. The energy eigenvalues were obtained in relativistic and non-relativistic regime and the corresponding un-normalized eigenfunctions in terms of Laguerre polynomials. The numerical values for the S – wave bound state were obtained.

Bound state solution of the Dirac equation for a new anharmonic oscillator potential

2007 ◽  
Vol 76 (5) ◽  
pp. 442-444 ◽  
Author(s):  
Gao-Feng Wei ◽  
Chao-Yun Long ◽  
Zhi He ◽  
Shui-Jie Qin ◽  
Jing Zhao
Keyword(s):  
Dirac Equation ◽  
Anharmonic Oscillator ◽  
Bound State ◽  
State Solution ◽  
Bound State Solution ◽  
Oscillator Potential ◽  
Anharmonic Oscillator Potential

Bound State for a Strongly Coupled Nonlinear Schrödinger System with Saturation

2019 ◽  
Vol 88 (1) ◽  
pp. 35-63
Author(s):  
Liliane A. Maia ◽  
Ricardo Ruviaro ◽  
Elson L. Moura
Keyword(s):  
Bound State ◽  
Strongly Coupled ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
Schrödinger System

scholarly journals Exploring Reggeon bound states in strongly-coupled $$ \mathcal{N} $$ = 4 super Yang-Mills

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Theresa Abl ◽  
Martin Sprenger
Keyword(s):  
Analytic Continuation ◽  
Bound States ◽  
Large Mass ◽  
Bound State ◽  
Strongly Coupled ◽  
Yang Mills ◽  
Remainder Function ◽  
Regge Limit ◽  
Case Basis ◽  
Number Of Particles

Abstract The multi-Regge limit of scattering amplitudes in strongly-coupled $$ \mathcal{N} $$ N = 4 super Yang-Mills is described by the large mass limit of a set of thermodynamic Bethe ansatz (TBA) equations. A non-trivial remainder function arises in this setup in certain kinematical regions due to excitations of the TBA equations which appear during the analytic continuation into these kinematical regions. So far, these analytic continuations were carried out on a case-by-case basis for the six- and seven-gluon remainder function. In this note, we show that the set of possible excitations appearing in any analytic continuation in the multi-Regge limit for any number of particles is rather constrained. In particular, we show that the BFKL eigenvalue of any possible Reggeon bound state is a multiple of the two-Reggeon BFKL eigenvalue appearing in the six-gluon case.

EXACT SOLUTIONS OF THE SCHRÖDINGER EQUATION FOR A NEW RING-SHAPED NONHARMONIC OSCILLATOR POTENTIAL

2008 ◽  
Vol 23 (12) ◽  
pp. 1919-1927 ◽  
Author(s):  
YAN-FU CHENG ◽  
TONG-QING DAI
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Laguerre Polynomials ◽  
Bound State ◽  
Wave Functions ◽  
Oscillator Potential ◽  
Radial Wave ◽  
Generalized Laguerre Polynomials ◽  
Uvarov Method ◽  
Special Case

The bound state solutions of the Schrödinger equation with a new ring-shaped nonharmonic potential are presented using exactly the Nikiforov–Uvarov method. It is found that the solutions of the angular wave function can be expressed by Jacobi polynomial and radial wave functions are given by the generalized Laguerre polynomials. We also discuss the special case for α = 0 and β = 0 respectively.

Sign in / Sign up

Export Citation Format

Share Document