scholarly journals Bound states of relativistic particles in a potential with four parameters for d iatomic molecules

2003 ◽  
Vol 52 (5) ◽  
pp. 1075
Author(s):  
Chen Gang ◽  
Lou Zhi-Mei
Keyword(s):  
Bound States ◽  
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

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 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.

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 Klein Paradox for Bound States - a Puzzling Phenomenon

2006 ◽  
Vol 5 (2) ◽  
pp. 14-18
Author(s):  
Nagalakshmi A. Rao ◽  
B. A. Kagali
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Bound State ◽  
Relativistic Wave Equation ◽  
Relativistic Wave ◽  
Minimal Coupling ◽  
Paradoxical Situation ◽  
Coupling Procedure ◽  
The Hill ◽  
Relativistic Particles

While Klien paradox is often encountered in the context of scattering of relativistic particles at a potential barrier,we presently discuss a puzzling situation that arises with the Klien-Gordon equation for bound states. With the usual minimal coupling procedure of introducing the interaction potential, a paradoxical situation results when the "hill" becomes a "well" ,simulating a bound state like situation.This phenomenal phenomenon for bound states is contrary to the convectional wisdom of quantum mechanics and is analogous to the well-known Klien paradox,a generic property of relativistic wave equation.

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