Bound states of relativistic particles in the generalized symmetrical double-well potential

2005 ◽  
Vol 337 (3) ◽  
pp. 189-196 ◽  
Author(s):  
Xing-Qiang Zhao ◽  
Chun-Sheng Jia ◽  
Qiu-Bo Yang
Keyword(s):  
Bound States ◽  
Double Well Potential ◽  
Relativistic Particles

scholarly journals Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Fernando Romero-López ◽  
Stephen R. Sharpe ◽  
Tyler D. Blanton ◽  
Raúl A. Briceño ◽  
Maxwell T. Hansen
Keyword(s):  
Finite Volume ◽  
Bound States ◽  
Numerical Exploration ◽  
Relativistic Particles

scholarly journals Bound states of relativistic particles in the second P?schl-Teller potentials

2006 ◽  
Vol 55 (2) ◽  
pp. 525
Author(s):  
Zhang Min-Cang ◽  
Wang Zhen-Bang
Keyword(s):  
Bound States ◽  
Relativistic Particles

scholarly journals QUANTUM MECHANICS IN NONINERTIAL FRAMES WITH A MULTITEMPORAL QUANTIZATION SCHEME II: NONRELATIVISTIC PARTICLES

2006 ◽  
Vol 21 (19n20) ◽  
pp. 3917-3945 ◽  
Author(s):  
DAVID ALBA
Keyword(s):  
Quantum Mechanics ◽  
Bound States ◽  
Center Of Mass ◽  
Quantization Scheme ◽  
Unitary Evolution ◽  
Classical Level ◽  
Noninertial Effects ◽  
Special Cases ◽  
Relativistic Particles

The nonrelativistic version of the multitemporal quantization scheme of relativistic particles in a family of noninertial frames (see Ref. 1) is defined. At the classical level the description of a family of nonrigid noninertial frames, containing the standard rigidly linear accelerated and rotating ones, is given in the framework of parametrized Galilei theories. Then the multitemporal quantization, in which the gauge variables, describing the noninertial effects, are not quantized but considered as c-number generalized times, is applied to nonrelativistic particles. It is shown that with a suitable ordering there is unitary evolution in all times and that, after the separation of the center-of-mass, it is still possible to identify the inertial bound states. The few existing results of quantization in rigid noninertial frames are recovered as special cases.

scholarly journals Kink–antikink scattering-induced breathing bound states and oscillons in a parametrized ϕ4 model

2020 ◽  
pp. 2150015
Author(s):  
F. Naha Nzoupe ◽  
Alain M. Dikandé ◽  
C. Tchawoua
Keyword(s):  
Scalar Field ◽  
Potential Barrier ◽  
Bound States ◽  
Phonon Scattering ◽  
Bistable System ◽  
Main Determinant ◽  
Text Field ◽  
Standard Picture ◽  
Low Amplitude ◽  
Double Well Potential

Recent studies have emphasized the important role that a shape deformability of scalar-field models pertaining to the same class with the standard [Formula: see text] field, can play in controlling the production of a specific type of breathing bound states so-called oscillons. In the context of cosmology, the built-in mechanism of oscillons suggests that they can affect the standard picture of scalar ultra-light dark matter. In this paper, kink scatterings are investigated in a parametrized model of bistable system admitting the classical [Formula: see text] field as an asymptotic limit, with focus on the formation of long-lived low-amplitude almost harmonic oscillations of the scalar field around a vacuum. The parametrized model is characterized by a double-well potential with a shape-deformation parameter that changes only the steepness of the potential walls, and hence the flatness of the hump of the potential barrier, leaving unaffected the two degenerate minima and the barrier height. It is found that the variation of the deformability parameter promotes several additional vibrational modes in the kink-phonon scattering potential, leading to suppression of the two-bounce windows in kink–antikink scatterings and the production of oscillons. Numerical results suggest that the anharmonicity of the potential barrier, characterized by a flat barrier hump, is the main determinant factor for the production of oscillons in double-well systems.

DISCRETE "STRINGS" AND GAUGE MODEL OF THREE CONFINED RELATIVISTIC PARTICLES

1992 ◽  
Vol 07 (15) ◽  
pp. 3639-3663 ◽  
Author(s):  
A. T. FILIPPOV ◽  
D. GANGOPADHYAY ◽  
A. P. ISAEV
Keyword(s):  
Bosonic Strings ◽  
Path Integral ◽  
Bound States ◽  
Hamiltonian Formulation ◽  
Vacuum State ◽  
Gauge Model ◽  
Chiral Structure ◽  
Gauge Models ◽  
Regge Trajectories ◽  
Relativistic Particles

An approach to quantizing discrete gauge models resembling bosonic strings in the Hamiltonian formulation is described. The case of three particles endowed with chiral structure and incorporating the symmetry T1 ⊗ Sl (2, R)_ ⊗ Sl (2, R)_ is analyzed both in the path-integral and operator formulations. The propagator, spectrum, vacuum state and Regge trajectories are determined. The Regge trajectories are linearly rising and the spectrum is similar to one for discretized bosonic strings in space–time dimensions D ≥ 4. Possible applications to both nonperturbative string theory and bound states of relativistic quarks are outlined.

BOUND STATES OF RELATIVISTIC PARTICLES AND REGGE TRAJECTORIES WITHIN THE POTENTIAL APPROACH

1990 ◽  
Vol 05 (29) ◽  
pp. 2439-2445
Author(s):  
A. A. BYKOV ◽  
A. D. MIRONOV ◽  
I. I. ROYZEN
Keyword(s):  
Energy Spectrum ◽  
Bound States ◽  
Gordon Equation ◽  
Light Quark ◽  
Potential Approach ◽  
Regge Trajectories ◽  
Quark System ◽  
Klein Gordon ◽  
Relativistic Particles ◽  
Klein Gordon Equation

The accuracy of potential description of bound states of relativistic particles is estimated. The rough potential for two-spinless light-quark system is suggested in the framework of the Klein-Gordon equation. The general properties of energy spectrum are outlined analytically and numerical calculations of quite realistic Regge trajectories are presented. The magnitude of spin corrections is discussed phenomenologically.

scholarly journals Bound states of relativistic particles in reflectionless-type potential

2003 ◽  
Vol 52 (5) ◽  
pp. 1071
Author(s):  
Chen Gang ◽  
Lou Zhi-Mei
Keyword(s):  
Bound States ◽  
Relativistic Particles ◽  
Type Potential
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